幾何
三角形、圓、解析幾何與證明題。
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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 $(2, 0)$, $(-2, 0)$, drawn as a smooth curve connecting these points…
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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 smooth, vertically elongated oval centered at the origin $(0,0)$.
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find the length of the third side. if necessary, round to the nearest t…
8
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find the length of the third side. if necessary, round to the nearest t…
24
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lesson 20 continued proofreading practice read the paragraph below. fin…
### Proofreading Practice 1. impossible 2. independent 3. conclusion 4. inescapable 5. irresistible ### Spelling Application 1. inconceivable 2. irresistible 3. imprecise 4. intol…
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make a conjecture. how could the distance formula and slope be used to …
A. Use the distance formula to measure the lengths of the sides. B. Use the slope to determine whether opposite sides are parallel. C. Use the slope to check whether sides are per…
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find the length of the third side. if necessary, write in simplest radi…
3
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find the length of the third side. if necessary, write in simplest radi…
$8\sqrt{2}$
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find the length of the third side. if necessary, write in simplest radi…
3
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find the length of the third side. if necessary, write in simplest radi…
4
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brians backyard has a patio and a garden. find the area of the garden. …
20
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a park has grass and sand. find the area of the part with grass. (sides…
19
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kuta software - infinite geometry simplifying square roots simplify. 1)…
Let's solve each problem one by one using the property of square roots: \(\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\) where \(a\) and \(b\) are non - negative real numbers, and we try to fa…
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7 given \\(\\triangle xps \\cong \\triangle dnf\\), find the values of …
$x = \frac{54}{17}$ (or approximately 3.18), $y = \frac{27}{2}$ (or 13.5)
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over what axis was the square reflected in the first example? a the x -…
B. The y - axis ### Second Question: Over what axis was the square reflected in the second example?
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mark each shape that always has the following properties. property | pa…
To solve this, we analyze each property for each quadrilateral: ### Property 1: Both pairs of opp. sides are ≅ - **Parallelogram**: Yes (definition of parallelogram). - **Rectangl…
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the length and width of a rectangle are consecutive integers. the perim…
Width = 6 inches, Length = 7 inches
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determine if \\(\\overleftrightarrow{ab}\\) and \\(\\overleftrightarrow…
Neither ### Problem 25
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18. if ( j parallel k ), find the value of ( x ).
\( x = 18 \)
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determine if $overline{ab}$ and $overline{cd}$ are parallel, perpendicu…
| $m(\overline{AB})$ | $m(\overline{CD})$ | Types of Lines | |--------------------|--------------------|----------------| | $\frac{7}{4}$ | $-\frac{4}{7}$ | Perpendicular | ### Pr…
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question 1 true or false: if the ( mangle cab = 26^circ ), then ( mangl…
True
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the blue figure is a dilation of the red figure. identify the type of d…
The dilation is an enlargement The scale factor is $2$
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the ( mangle feb = 78^circ ), find the measure of arc ( eab ). options:…
\( 204^{\circ} \) (corresponding to the option with \( 204^{\circ} \))
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(part 2 of 2) using the equation from part 1 above, find the value of x.
\(x = 18\)
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(part 1 of 2) choose the correct equation to solve for x. 140° (6x - 38…
B. \( 6x - 38 = 70 \) (assuming the options are labeled as A, B, C, D with A: \( 6x - 38 + 140 = 360 \), B: \( 6x - 38 = 70 \), C: \( 6x - 38 = 140 \), D: \( \frac{1}{2}(6x - 38) …
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(part 2 of 2) using the equation from part 1 above, find the value of x…
# Explanation: ## Step1: Recall the property of angles formed by a tangent and a chord (or two chords intersecting outside/inside, but here it's a tangent and a secant? Wait, actu…
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read the problem below. decide whether mario or marina is correct. find…
Marina
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find the ( mangle aed ).
\( 116^\circ \) (corresponding to the option "116°")
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read the problem below. decide whether gary or grace is correct find th…
Gary
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find the measure of arc fjh and ( mangle fgh ). measure of arc fjh: sel…
Measure of arc \( FJH \): \( 259^\circ \) \( m\angle FGH \): \( 79^\circ \)
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24. what kind of triangle is represented by the triangle shown below? o…
O Scalene
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22. in $\\triangle def$ if $\\overline{ef}$ is four feet longer than $\…
27.75 ft.
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21. the figure below shows the design of a truss to support the weight …
$16^\circ$
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20. it is impossible for a triangle to be which of the following? ○ bot…
All of these triangles are possible.
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17. if ( j parallel k ), find the value of ( x ). 18. if ( j parallel k…
\(x = 11\) ### Question 18
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2. a net of a regular tetrahedron and its dimensions are shown. which o…
C. The base is congruent to each face. E. The total surface area can be determined using the expression (3.9)(4). --- ### Question 3
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1. jada is teaching her classmate how to calculate the surface area of …
| Step | Calculation | |------|-------------| | Calculate the area of the triangular base | $\frac{1}{2}(3.3)(2.7)=4.455 \text{ cm}^2$ | | Calculate the area of one triangular fac…
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11. $\\angle p$ and $\\angle q$ are supplementary angles. if $m\\angle …
\( 144^\circ \) ### Problem 12 (∠1 and ∠2 form a linear pair)
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find the value of x.
\(x = 26\)
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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 \((2,0)\), \((-2,0)\) (the ellipse is drawn through these po…
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what is the value of c? 4c - 41° 2c 4c write your answer as an integer …
$c = 20.3$
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8. rhombus m∠pmn = 110
$x = 11$
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7. rectangle qs ≅ tr
$x = 12$
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what is the value of c? c = \\square^\\circ save answer
$102$
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in the figure above, ( rt = tu ). what is the value of ( x )? a) 72 b) …
C) 64
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current skill identify the relationship between ∠bac and ∠cad as comple…
Adjacent
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identify the relationship between $\\angle hgi$ and $\\angle igj$ as co…
Adjacent and Supplementary
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solve the inequality and graph the solution on the line provided. 7x + …
## Inequality Notation: $x > -6$ ## Number Line: Open circle at $-6$, arrow pointing to the right (covering all values greater than $-6$)
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a 6 cm b p area of triangle =?
The area of the triangle is \(18\) square centimeters.
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the side lengths of the shaded and angle by adding the areas of the 2 s…
First blank: \(40\), Second blank: \(32\), Third blank: \(72\), Area: \(72\) square units
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find uv. write your answer as an integer or as a decimal rounded to the…
$4.5$
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2. (the image shows a trapezoid with the lengths of the two parallel si…
The area of the trapezoid is $238\,\text{square meters}$.
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find fg. write your answer as an integer or as a decimal rounded to the…
$6.0$
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triangle with one side labeled 18, another side labeled 2y - 6, angle l…
# Explanation: ## Step1: Identify the triangle type The triangle has two equal sides (marked with ticks), so it's isosceles. Thus, the two equal sides are \(2y - 6\) and \(18\), a…
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solve for ( x ) and graph the solution on the number line below. if pos…
Inequality Notation: $x \leq -6$ ### Number Line: Draw a closed circle at $-6$ on the number line, and shade all values to the left of $-6$ (including $-6$).
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the vertex is (-1,-2)
The vertex is \((-1, -2)\)
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8. given $\\triangle stu \\sim \\triangle vtw$, solve for $x$. remember…
Problem 8: $x = 18$ Problem 9: $x = 2$ Problem 10: $x = 4.5$
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question show examples solve for ( x ) and graph the solution on the nu…
$x > 6$ To graph this on a number line: Draw an open circle at 6, and shade all values to the right of 6.
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use the formula for radian measure to calculate the measure of a centra…
1.75 or $\frac{7}{4}$ radians
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c. use your algebra skills to find the angle measurements. 13) a) find …
a) $x=22$ b) $m\angle MHT=125^\circ$ c) $m\angle AHM=55^\circ$
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e the inequality and graph the solution on the line ided. $-2x + 73 \\g…
$ x \leq -2 $ *(For graphing: Draw a closed circle at $x=-2$ on the number line, and shade all values to the left of this point.)*
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plotting the x - intercept plot the x - intercept of the function ( f(x…
$(-4, 0)$
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angle relationships worksheet #2 a. fill in the correct angle. 1) ∠axe …
1) $\angle DXF$ 2) $\angle AXE$ 3) $\angle AXE$ 4) $\angle BXC$ 5) $\angle AXD$ 6) $\angle EXF$
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calculate the area of the regular polygon. round the final answer to tw…
21.42 (or 21.40, depending on calculation method, but likely 21.42 when using perimeter and apothem with given side length)
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shade the portion of the venn diagram to illustrate the given set. $(ac…
23456
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7. in the diagram, $\\triangle jkl \\sim \\triangle mnp$. a. maya and d…
a. Dylan's proportion is correct. For similar triangles $\triangle JKL \sim \triangle MNP$, corresponding sides must be proportional: $\overline{MN}$ ($a$) corresponds to $\overli…
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6. given $\\triangle mno \\sim \\triangle pqr$, find the lengths of $\\…
$NO = 40$, $PQ = 18$, $QR = 80$
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x - 4y ≤ 4 y < x + 1
The correct graph is the third one (top right, the graph with overlapping blue and red shading covering the upper left and lower right regions relative to the lines).
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a point travels halfway around a wheel with a radius of 1 foot. to the …
3
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what is the formula for the circumference of a circle? 〇 $c = pi r^2$ 〇…
B. $C = 2\pi r$
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how many degrees are in a full circle? 360 complete how many degrees ar…
C. $90^\circ$
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how many degrees are in a full circle?
360
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similarity identifying similar or congruent shapes on a grid which pair…
1. Top-left pair: Congruent? No Similar? No 2. Top-right pair: Congruent? No Similar? Yes 3. Bottom-left pair: Congruent? No Similar? Yes 4. Bottom-right pair: Congruent? No Simil…
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homework - area, perimeter, and circumference find the area of the shap…
The area of the semicircular shape is approximately \( 6.28 \, cm^2 \) (or \( 2\pi \, cm^2 \)).
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homework - area, perimeter, and c find the area of the shape below. 12 …
The area of the triangle is \( 54 \) square inches.
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9.71. multiple choice: which of the points below is a solution of ( y <…
b. \((-4, 5)\)
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homework - area, perimeter, and circumference how many square feet of s…
5400
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triangles separating overlapping triangles and identifying common featu…
### Part (a) To fill in the missing vertex labels for \(\triangle HIJ\) and \(\triangle LKJ\), we analyze the original figure: - For \(\triangle HIJ\): The sides are labeled \(9\)…
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units of length customary system units\tmetric system units 1 inch\t2.5…
$\frac{2.54 \text{ cm}}{1 \text{ in}}$, $\frac{1 \text{ meter}}{100 \text{ cm}}$
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5. $\\triangle mnp \\sim \\triangle qrp$ (the image shows triangle mnp …
\(x = 10\)
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complete the proof by choosing the correct eason\. given ( mangle ejg =…
To solve this proof, we analyze each step's reason: ### Step 1: \( m\angle EJG = m\angle 1 + m\angle 2 \) This is the **Angle Addition Postulate**, which states that if a point li…
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match each quadratic function given in factored form with its equivalen…
1. $f(x)=(x-12)(x+1) \iff f(x)=x^2-11x-12$ 2. $f(x)=(x-3)(x+4) \iff f(x)=x^2+x-12$ 3. $f(x)=(x-4)(x+3) \iff f(x)=x^2-x-12$ 4. $f(x)=(x+2)(x-6) \iff f(x)=x^2-4x-12$
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graph each equation. 9) \\(\frac{x^2}{4} + \frac{y^2}{9} = 1\\)
The graph is an ellipse with vertices at \((0,\pm3)\) and co - vertices at \((\pm2,0)\), plotted and connected smoothly on the given coordinate grid. (The actual graph is a smooth…
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27) circle the congruence theorem would you use to prove that the two t…
\( 75^\circ \) ### 28)
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solve the inequality. graph the solution. 3x + 4 > 16 the solution is \…
The solution is $x > 4$. For the graph, select the open circle at 4 with an arrow pointing to the right.
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angle fgh is a right angle. the measure of angle fgj is 50°. the measur…
$x = 140$
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3. given $\\triangle ghi \\sim \\triangle wvu$, what is the length of $…
1. The length of $\overline{GI}$ is 18 2. The length of $\overline{UW}$ is 5.2
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23) an altitude is drawn from vertex ∠y to the opposite side xz at poin…
\( YW \) is perpendicular to \( XZ \) (or \( YW \perp XZ \)) ### Question 24
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analyze structure annotate: underline words in paragraph 2 that reveal …
The core difference between Hamilton and Jefferson's views lies in their opposing stances on federal power, states' rights, and constitutional interpretation: 1. Hamilton advocate…
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1. $\\triangle abc$ is a right triangle with side lengths 7.5, 10, and …
A. 1.5, 2, 2.5 B. 3, 4, 5 E. 15, 20, 25 --- ### Problem 2
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choosing a path to the solution how many cups are in 1 liter? (some tab…
## Conversion Paths: - $\boldsymbol{\circ}$ Liters → quarts → cups - $\boldsymbol{\circ}$ Liters → gallons → quarts → cups ## Number of cups in 1 liter: Approximately $\boldsymbol…
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1. the sides of three squares join to form a right triangle as shown. i…
$\boldsymbol{100}$ $\text{cm}^2$
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3. write an inequality for each graph.
$y \leq -\frac{1}{2}x - 2$ (or $x + 2y \leq -2$)
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explain whether this dilation is an enlargement or a reduction, and how…
This dilation is an enlargement because the image triangle $A'B'C'$ is larger than the original pre-image triangle $ABC$, and the distance from the center of dilation $O$ to the i…
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19) if \\( \\overline{de} \\) is a midsegment of \\( \\triangle abc \\)…
Equation: \( x - 3=\frac{1}{2}(3x - 12) \) \( x = 6 \), \( DE = 3 \), \( BC = 6 \) ### Problem 20
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7) 2.5 cm (with a circle diagram)
If we use \( \pi \approx 3.14 \), the circumference is \( 15.7 \, \text{cm} \); in terms of \( \pi \), it is \( 5\pi \, \text{cm} \).
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1. find the missing side length of the right triangle. 12 ft 5 ft ? 10.9
13 ft
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determine if lines r and s are parallel. select the correct choice belo…
C. The slope of line r is $-\frac{1}{2}$, and the slope of line s is $1$. Since the slopes are different, lines r and s are not parallel.
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17) given isosceles triangle abc as shown below where \\( \\overline{ab…
Equation: \( 7x + 8 = 4x + 26 \) \( x = 6 \) \( BC = 28 \) ### Problem 18
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describing a solution set describe the graph of ( y > mx ), where ( m >…
- dashed line - half plane - positive slope - origin - shading above the line