几何
三角形、圆、解析几何与证明题。
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find the scale factor of triangle abc if it is dilated to triangle abc.…
\(\frac{1}{2}\)
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classify this triangle by its sides and angles. acute and equilateral r…
acute and equilateral
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example the gray figure is a transformation of the green figure. compar…
1. The original figure was translated **6 units to the right and 3 units up** to create the image. 2. (Reflected figure description): The reflected image is a mirror copy of the g…
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$\\triangle rst \\cong \\triangle rqu$. complete the proof that $\\tria…
Additive Property of Length
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the equation of a line is given below. -2x - 5y = 10 find the slope and…
Slope: $\boldsymbol{-\frac{2}{5}}$ $y$-intercept: $\boldsymbol{-2}$ (the point $(0, -2)$ on the graph)
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trapezoid midsection \\frac{1}{2}(a + c) = b (there is a trapezoid diag…
If we are finding the top base \( A \) using the trapezoid midsection formula \( B=\frac{1}{2}(A + C) \) with \( B = 40 \) and \( C = 60 \), then \( A = 20 \).
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△uxy ≅ △wvy. complete the proof that △uvy ≅ △wxy. statement\treason 1\t…
The completed proof has the following filled-in reasons and statements: 1. $\triangle UXY \cong \triangle WVY$ | Given 2. $\overline{UY} \cong \overline{WY}$ | CPCTC (from step 1)…
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a system of linear equations is shown in the graph. how many solutions …
0 (No solutions)
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question + answer (circle correct answer) how did native american servi…
C. They established secure radio communication in the Pacific war against Japan. ### Second Question (African Americans in WWII)
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complete the proof that $\\triangle ghi \\cong \\triangle gih$. stateme…
The missing reason for statement 3 is **ASA (Angle-Side-Angle) Congruence Criterion** Full completed proof: | Statement | Reason | |-----------|--------| | 1. $\angle H \cong \ang…
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find the measures of the numbered angles in the kite. the figure is not…
\( 90 \)
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mfm2p - culminating task task 6: detour!!! day 3 for this challenge, yo…
## Part a) 1. Sign error: $3x^2 - 9 = 0$ should be $-3x^2 - 9 = 0$ 2. Invalid solution step: $x^2 = 9 - 3$ is incorrect (the correct equation leads to $x^2 = -3$, which has no rea…
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statement reason 1 △ruv ≅ △stv given 2 ru ≅ st cpctc 3 rv ≅ sv cpctc 4 …
Side-Side-Side (SSS) Triangle Congruence Postulate
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8 feet find the area of the square. a = \\boxed{} ft²
64
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11 feet find the area of the square. a = \\square ft²
121
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find the measures of an interior angle and an exterior angle of a regul…
\( 140^\circ \)
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2 inches find the area of the square. a = \\square in²
$4$
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find the value of each variable. y = square z = square
\( y = 97 \), \( z = 77 \)
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find the measure of one interior angle in the regular polygon. the meas…
\( 108 \)
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which pairs of figures below are congruent? (the figures in the image a…
1. Top-left pair: No 2. Top-right pair: No 3. Bottom-left pair: Yes 4. Bottom-right pair: No
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what are the measures of the angles in the right triangles formed by th…
90, 36, 54
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graphic organizer venn diagram name: date: instructions: write details …
To complete the Venn diagram comparing “Welles high school experience” and “My high school experience,” we analyze the unique and shared aspects: ### Left Circle (Welles High Scho…
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a triangle has a base of 7 inches and a height of 4 inches. what is its…
1. 14 in² 2. 26 m²
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a triangle has a base of 4 meters and a height of 13 meters. what is it…
A. $26\ \text{m}^2$
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a triangle takes up exactly half the space of a rectangle when they sha…
First question: A triangle takes up exactly half the space of a rectangle when they share the same base and height Second question: They must be perpendicular to one another
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what is the formula for finding the area of a triangle? * 1 point base …
1. $\frac{1}{2} \times \text{base} \times \text{height}$ 2. A triangle takes up exactly half the space of a rectangle when they share the same base and height
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a. multiple choice (circle the best answer) 1. spartas main focus was o…
B. military strength ### Question 2
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mfm2p - culminating task task 6: detour!!! day 3 for this challenge, yo…
## Part a) 1. First mistake: Incorrect sign handling when rearranging terms (should be $x^2 + 12x - 18 - 4x^2 - 12x + 9 = 0$, not $x^2 - 4x^2 + 12x - 12x - 18 + 9 = 0$ with the wr…
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the graph of a line is represented by the equation $4x + y = 80$. which…
D. - 4
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there is a right triangle, the hypotenuse length is 11, one of the acut…
\( x\approx3.94 \) (or more precise \( 3.9424 \))
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question: 3 karel the dog is instructed to move forward two spaces. the…
Karel will end up at the space two spaces above the yellow ball (in the same column as the starting position, two rows up).
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wing system of inequalities graphically on the set of axes below. state…
If we assume the first inequality is \( y\leq\frac{5}{4}x - 8 \) (maybe a typo in the original problem), the point \((4, - 5)\) satisfies both \( y\leq\frac{5}{4}x - 8 \) (since \…
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a circle with an area of 100π square centimeters is dilated so that its…
\(\frac{1}{2}\) (the third option, i.e., the option with \(\frac{1}{2}\))
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from a viewing height of h feet, the approximate distance d to the hori…
Para \( h = 180 \) pies, la distancia exacta es \( \boldsymbol{3\sqrt{15}} \) millas (o aproximadamente \( \boldsymbol{12} \) millas).
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determine whether each set of numbers can be measure of the sides of a …
1. Yes, right triangle 2. Yes, right triangle 3. Yes, obtuse triangle 4. Yes, obtuse triangle 5. Yes, right triangle 6. Yes, right triangle
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unit 5 lesson 8 assignment a scale model of an oil tanker truck can hol…
The scale factor is 20.
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a cone has a radius of 30\\pi in³ and a slant height of 100\\pi in²? th…
12500π (the second option, assuming the options are: 1792π, 12500π, 5000π, 5625π)
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from a viewing height of h feet, the approximate distance d to the hori…
Para la parte a), la distancia exacta es \( \sqrt{135} = 3\sqrt{15} \) millas (o aproximadamente 12 millas si redondea a la milla más cercana). Pero la pregunta pide la forma exac…
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mathematics diagnostic assessment prove that alternate interior angles …
| Statement | Reason | |-----------|--------| | $\angle 2 \cong \angle 6$ | Corresponding angles are congruent. | | $\angle 2 \cong \angle 3$ | Vertical angles are congruent. | | …
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12 drag each label to the correct location on the image. not all labels…
$r = 6$ cm $h = 5$ cm $d = 12$ cm
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using the side lengths of the given triangles (not drawn to scale), det…
The right triangles are: 1. The triangle with side lengths 15, 36, 39 2. The triangle with side lengths 7, 24, 25 The triangle with incomplete side lengths (13, ?, 35) cannot be v…
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using the graph above, match the segment names with their corresponding…
$\overline{CD} \longleftrightarrow \sqrt{34}$ units $\overline{BD} \longleftrightarrow 17$ units $\overline{AB} \longleftrightarrow 12$ units $\overline{AC} \longleftrightarrow \s…
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23. what does the solution to ( x + 4 > 6 ) look like on a number line?…
d. Open circle at 2, shading to the right
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unit 7: polygons & quadrilaterals quiz 7 - 1: angles of polygons & para…
1. $3060^\circ$ 2. $12$ 3. $140^\circ$ 4. $360^\circ$ 5. $36^\circ$ 6. $125^\circ$ 7. $\frac{350}{19}\approx18.42$ 8. $7$ 9. $\frac{310}{11}\approx28.18$ 10. $KL=27$, $m\angle JKL…
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weconnect: match the spanish word in the left column with its english e…
### Matching the Spanish words with English translations: 1. **La tableta** - "tableta" in Spanish refers to a tablet, so matches with H. the tablet. 2. **El estéreo** - "estéreo"…
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16. a line passes through the points (2, -5) and (6, 3). what is the sl…
c. 2
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15. the length of a rectangle is 3 inches more than twice its width. if…
c. $2w + 2(2w + 3) = 30$
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start by plotting point l.
Point $L'$ is located 6 concentric circle units from center $R$, along the straight line extending from $R$ through the original point $L$.
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circle n is a dilation of circle m with point r as the center of dilati…
3
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circle n is a dilation of circle m with point r as the center of dilati…
3
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problem 10 select all the sets of side lengths that form a right triang…
The sets of side lengths that form a right triangle are: - \(4, \sqrt{84}, 10\) - \(\sqrt{8}, 11, \sqrt{129}\) - \(\sqrt{1}, \sqrt{3}, 2\)
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problems 8-9 a standard city block in manhattan is a rectangle measurin…
The distance Sol would walk by cutting through the park is approximately \(281.6\) meters. ### Second Sub - Question: If Sol walks an average of 1.42 meters per second, how much t…
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the diagram shows ned’s movement as he left his house and traveled to d…
W
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m3|l1 how well can you measure? square | side length (cm) | perimeter (…
- Square A Perimeter: \( 20 \) cm - Square B Perimeter: \( 14 \) cm - Square C Perimeter: \( 24 \) cm - Square D Perimeter: \( 8.8 \) cm (If filling the table, the perimeters are …
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problem 6 calculate the length of each side of this right triangle shor…
Shorter leg: 5 Longer leg: 7 Hypotenuse: \(\sqrt{74}\) (or approximately 8.6)
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problem 3 here is an equilateral triangle. the length of each side is 2…
\(\sqrt{3}\)
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problem 3 calculate the exact value of the unknown side length in the r…
\(2\sqrt{3}\)
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determine the value of x using the information in the diagram. type you…
$105^\circ$
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problem 2 calculate the exact value of the unknown side length in the t…
\(\sqrt{21}\)
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calculate the exact value of the unknown side length in the right trian…
6
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10. （triangle with side 15, side 31, angle 126°, and angle x°）
\( x \approx \boldsymbol{23^\circ} \) (or \( 22.9^\circ \) for more precision)
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3. pour dessiner le plan dune ferme de toit, on trace dabord un segment…
Les triangles \( ABD \) et \( CBD \) sont isométriques (congruents) car : - \( AD = DC \) ( \( D \) est le milieu de \( AC \) ), - \( \angle ADB = \angle CDB = 90^\circ \) ( \( DB…
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similar figures in exercises 1–8, the figures are similar. find each mi…
1. $18$ m 2. $27$ in 3. $36$ km 4. $4$ ft 5. $16$ in 6. $15$ m 7. $31.5$ m 8. $78.75$ yd 9. $9$ feet 10. $30$ inches 11. $\frac{1}{4}$ yard
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practice with linear pairs and vertical angles. which angles are linear…
# Explanation: To determine linear pairs, we use the definition: a linear pair of angles are adjacent angles that form a straight line (sum to \(180^\circ\)) and share a common si…
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finding unknown angle measures what are the numerical measures of each …
∠1 and ∠3 measure \(\boldsymbol{29}\) degrees. ∠2 and ∠4 measure \(\boldsymbol{151}\) degrees. (Note: The filled answers in the problem might be incorrect; the correct calculation…
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4. the point on the graph that lies on the y - axis (vertical axis) is …
The y - intercept tells you the runner's starting position (distance from a reference, e.g., the starting line) at the start of the run (when time \( t = 0 \)). ### Question 5A
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mathematics diagnostic assessment given: ( ab cong dc ) and ( bc cong a…
C. side-side-side congruence
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4. name the rule that applies to this shape.
The shape is a rhombus (or a quadrilateral with all sides equal). The rule that applies is: In a rhombus (a quadrilateral with all four sides of equal length), opposite sides are …
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14 select the correct answer from the drop - down menu. what is the rul…
the absolute value of the difference
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by which angle must (overline{ab}) turn about point (a) in the clockwis…
B. 180°
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find the smallest angle of $\\triangle wxy$. assume that $c$ is a posit…
The smallest angle is \(\angle X\) (opposite the shortest side \(44c\)).
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congruent supplements theorem linear pair theorem given definition of s…
1. $m\angle1 = 110^\circ$ and $m\angle2 = 70^\circ$: $\boldsymbol{given}$ 2. $\angle1$ is supplementary to $\angle2$: $\boldsymbol{definition\ of\ supplementary\ angles}$ 3. $\ang…
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10) $y \\geq x + 4$
To graph \( y\geq x + 4 \): 1. Draw the line \( y=x + 4 \) as a solid line (because of the "greater than or equal to" symbol). The line has a slope of 1 and a y - intercept at \( …
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12) x + 3y < 15
To graph \(x + 3y<15\): 1. Rewrite as \(y<-\frac{1}{3}x + 5\). 2. Draw a dashed line \(y=-\frac{1}{3}x + 5\) (passing through \((0,5)\) and \((3,4)\) etc.). 3. Shade the region be…
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10. eng kichik yuz olchov birligiga otkazib hisoblang. 42 dm² 26 cm² - …
1. $4066\ \text{cm}^2$ 2. $1200\ \text{mm}^2$ 3. $92100\ \text{cm}^2$
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pythagorean theorem © 2013 kuta software llc. all rights reserved. find…
\( \sqrt{209} \) ft ### Problem 2: Find the missing side (right triangle, legs \( 5\sqrt{2} \) mi, 7 mi, hypotenuse \( x \))
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name: class: polygon/ quadrilateral quiz 1. write the equation used to …
The equation used to solve for the sum of the interior angles of a polygon is \( S=(n - 2)\times180^\circ \) (where \( S \) represents the sum of interior angles and \( n \) repre…
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goes through points (-2, -1) and (-3, 5) y = -1/6x + 1 y = -6x - 13 y =…
\( y = - 6x-13 \) (corresponding to the blue option: \( y = - 6x - 13 \))
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geometry name date period unit 5 review directions: complete the follow…
1. opposite 2. hypotenuse 3. adjacent 4. right 5. right 6. right angle 7. 17 ft 8. 2 cm 9. The hypotenuse is the longest side of the right triangle, opposite the 90° (right) angle…
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6. find the distance between the two points. use graph paper if necessa…
7.6
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5. find the missing side length. round to the nearest tenth. 14 6
12.6
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4. find the missing side length. round to the nearest tenth.
10.4
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f(x) = -3x² g(x) = -5x³ - 2x⁴ + 1 h(x) = 2 + 5x 1. add polynomials. f(x…
\( -2x^4 - 5x^3 - 3x^2 + 1 \) ### 2. Subtract polynomials \( f(x) - h(x) \)
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graph each equation. 9) \\(\\frac{x^2}{4} + \\frac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin with vertices at \((0,3)\), \((0, - 3)\) and co - vertices at \((2,0)\), \((- 2,0)\), drawn by plotting these points and sketching a…
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin $(0,0)$ with vertices at $(0, 3)$, $(0, -3)$ and co-vertices at $(2, 0)$, $(-2, 0)$, forming a vertical elongated oval shape passing…
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find the area of the given triangle. round your answer to the nearest t…
\( 34.2 \)
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
The graph is an ellipse with vertices at $(0, 3)$, $(0, -3)$ and co-vertices at $(2, 0)$, $(-2, 0)$, forming a vertical-oriented ellipse centered at the origin $(0,0)$.
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
The graph is an ellipse with vertices at $(0, 3)$, $(0, -3)$ and co-vertices at $(2, 0)$, $(-2, 0)$, forming a vertical elongated oval shape centered at the origin $(0,0)$.
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graph each equation. 9) \\(\frac{x^2}{4} + \frac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin $(0,0)$ with vertices at $(0, 3)$, $(0, -3)$ and co-vertices at $(2, 0)$, $(-2, 0)$, forming a vertical elongated oval shape passing…
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find the length of the unknown sides f round all answers to 2 decimal p…
The length of the unknown side \(c\) is approximately \(3.61\space cm\)
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find the length of the unknown sides f round all answers to 2 decimal p…
# Explanation: ## Step1: Identify the formula This is a right - triangle, so we can use the Pythagorean theorem. The Pythagorean theorem states that for a right[SSE onError error]
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graph $y = \\frac{4}{5}x - 7$.
To graph \( y=\frac{4}{5}x - 7 \): 1. Plot the y - intercept \( (0,-7) \). 2. Use the slope \( \frac{4}{5} \) to find another point: from \( (0,-7) \), move up 4 units and right 5…
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graph each equation. 9) \\(\\frac{x^2}{4} + \\frac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin \((0,0)\) with vertices at \((0, 3)\), \((0,-3)\) and co - vertices at \((2,0)\), \((-2,0)\). To graph it, plot these four points an…
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graph each equation. 9) \\(\\frac{x^2}{4} + \\frac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin with vertices at \((0, 3)\), \((0,-3)\) and co - vertices at \((2,0)\), \((-2,0)\), drawn through these points. (To actually graph i…
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\) coo…
The graph is an ellipse centered at the origin $(0,0)$ with vertices at $(0, 3)$, $(0, -3)$ and co-vertices at $(2, 0)$, $(-2, 0)$, forming a vertical elongated oval shape passing…
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin $(0,0)$ with vertices at $(2,0)$, $(-2,0)$, $(0,3)$, and $(0,-3)$, connected by a smooth, oval-shaped curve.
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\) coo…
The graph is an ellipse centered at the origin $(0,0)$ with vertices at $(0, 3)$, $(0, -3)$ and co-vertices at $(2, 0)$, $(-2, 0)$, forming a vertical elongated oval shape passing…
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin $(0,0)$ with vertices at $(0, 3)$, $(0, -3)$ and co-vertices at $(2, 0)$, $(-2, 0)$, forming a vertical elongated oval shape passing…
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\) coo…
This is an ellipse with vertices at $(0, 3)$, $(0, -3)$ and co-vertices at $(2, 0)$, $(-2, 0)$, centered at the origin, plotted on the given grid.
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
This is an ellipse with vertices at $(0, 3)$, $(0, -3)$ and co-vertices at $(2, 0)$, $(-2, 0)$, centered at the origin.