幾何
三角形、円、座標幾何、証明問題。
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the equation of a circle is given in standard form. complete parts a th…
b) B (the graph with center at $(-3,4)$ and radius $\approx5.29$) c) A. The x-intercept(s) is/are $x=-3+2\sqrt{3}, -3-2\sqrt{3}$ The y-intercept(s) is/are $y=4+\sqrt{19}, 4-\sqrt{…
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the areas of the rectangles are given. factor out the gcf to find expre…
The width is $5xy^2$. The length of the first rectangle is $5$, and the length of the second rectangle is $6xy^2$.
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question 3 (1 point) x = ____ degrees 4. find the value of $x$ where tw…
Question 3: $65$ degrees Question 4: $6$ degrees
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14. higher order thinking δefg and δhij have the same perimeter and sid…
a. The possible coordinates of point $J$ are $(5, 2)$, $(-5, 2)$, $(5, 1)$, $(-5, 1)$ b.
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question 2 (1 point) match the term on the left with the counterpart on…
1. Supplementary Angles - e. Have a sum of 180 degrees 2. Complementary Angles - d. Have a sum of 90 degrees 3. Linear Pair - c. Two adjacent angles with a sum of 180 degrees 4. V…
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$(x-5)^{2}+(y+7)^{2}=8$ b) sketch the graph of the circle. choose the c…
b) C c) B. There is no x-intercept
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question 1 (1 point) x = degrees 14. $(6x + 3)^\\circ$ $(7x - 44)^\\cir…
$47$
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the two triangles below are similar. also, $m\\angle h=20^\\circ$ and $…
$m\angle X = 20^\circ$ $m\angle Y = 90^\circ$ $m\angle Z = 70^\circ$
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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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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 vertical vertices at $(0, 3)$ and $(0, -3)$, horizontal vertices at $(2, 0)$ and $(-2, 0)$, forming a smooth, elongated…
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write the ordered pairs that describe the location of the points. point…
1. Point R: $(-5, 0)$; Point S: $(4, -6)$ 2. Points at 2.5 units from H: Point K 3. Point G is plotted at $(-5, -2)$ 4. Circled points: the point at $(-7, 0)$ and the point at $(-…
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in the figure below, $k \\parallel m$. find the values of $z$ and $x$. …
$z = 68$ $x = \frac{100}{3}$ (or approximately 33.33)
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to graph the equation $2x + 5y = 10$, znplyn draws a line through the p…
$-\frac{2}{5}$ (corresponding to the first option)
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how many sides does a regular polygon have if each interior angle measu…
9
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the equation of a circle is given in standard form. complete parts a th…
### For x-intercepts: A. The x-intercept(s) is/are $x = -4+\sqrt{13}, -4-\sqrt{13}$ ### For y-intercepts: The y-intercept(s) is/are $y = -6+\sqrt{33}, -6-\sqrt{33}$ *(Note: The gr…
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the measures of the angles of a triangle are shown in the figure below.…
$x = 7$
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13. higher order thinking alejandro is making a frame for a rectangular…
No, he does not have enough framing material. The minimum perimeter of a rectangle with a 12-inch diagonal (a square) is approximately 33.94 inches, which is greater than the 24 i…
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the measures of the angles of a triangle are shown in the figure below.…
# Explicación: ## Paso 1: Sumar los ángulos del triángulo $$90^\circ + 48^\circ + (2x+16)^\circ = 180^\circ$$ ## Paso 2: Simplificar la suma de constantes $$138^\circ + 2x + 16^\c…
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the measures of the angles of a triangle are shown in the figure below.…
$x = 14$
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solve for $x$ and graph the solution on the number line below. $\frac{x…
Inequality Notation: $x > 0$ For the number line: - Draw an open circle at 0 (since the inequality does not include equality) - Shade the region to the right of 0 (all values grea…
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the measures of the angles of a triangle are shown in the figure below.…
$x=6$
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12. a triangle has two side lengths of 4.75 centimeters and 8.5 centime…
4 centimeters, 7 centimeters, 10 centimeters
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1. which point best represents $(2\\frac{1}{2}, -3\\frac{1}{2})$?○ poin…
Point D --- ### Top Right Question
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the measures of the angles of a triangle are shown in the figure below.…
$x = 22$
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the measures of the angles of a triangle are shown in the figure below.…
$x=4$
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question how many sides does a regular polygon have if each interior an…
30
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the equation of a circle is given in standard form. complete parts a th…
### For part c) x-intercepts: B. There is no x-intercept ### For part c) y-intercepts (implied by the process): $y=-6+\sqrt{7}, -6-\sqrt{7}$ ### For part b) graph: The circle has …
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11. a triangle has two side lengths of 9 and 11 inches. the third side …
2 possible triangles can be formed. Both potential third side lengths ($\frac{9}{4}$ inches and $\frac{11}{4}$ inches) satisfy the triangle inequality theorem, meaning valid trian…
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4 a pie is baked in a circular pan with a diameter of $10\\frac{1}{2}$ …
$43.29$ in² (approximate, matches the given value of $43.28$ in² due to slight $\pi$ rounding differences)
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the measures of the angles of a triangle are shown in the figure below.…
$x = 6$
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solve for $x$ and graph the solution on the number line below. $-10x > …
### Inequality Notation: $x < 9$ ### Number Line: - Draw an open circle at 9 on the number line (since the inequality is strict, no equality). - Draw an arrow pointing to the left…
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the measures of the angles of a triangle are shown in the figure below.…
$80^\circ$
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the measures of the angles of a triangle are shown in the figure below.…
$x = 19$
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1. which ordered pair is inside the parallelogram and is within quadran…
1. $(-4\frac{1}{4}, 2)$ 2. J. $(3.9, -5.7)$ 3. $(1.5, 2)$ 4. $(-6,-4)$
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question what is the volume of the rectangular prism below in cubic inc…
3456 cubic inches
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the measures of the angles of a triangle are shown in the figure below.…
$x = 13$
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the measures of the angles of a triangle are shown in the figure below.…
$x = 13$
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the measures of the angles of a triangle are shown in the figure below.…
$x = 5$
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in $\trianglejkl, \text{m}angle j = (4x - 1)^circ, \text{m}angle k = (7…
$17$
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in $delta def$, $overline{df}$ is extended through point f to point g, …
$7$
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what is the slope of the line that passes through the points $(5, -6)$ …
$0$
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7. use patterns and structure what is the minimum side length needed to…
The minimum side length needed is just greater than 2 inches. This is because of the Triangle Inequality Theorem, which requires the sum of the two shorter sides of a triangle to …
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you do: check for understanding consider a triangle with vertices at th…
The triangle is acute.
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in $delta stu$, $\text{m}angle s = (5x + 9)^circ$, $\text{m}angle t = (…
$104^\circ$
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question in $delta stu, \text{m}angle s=(5x + 4)^circ, \text{m}angle t=…
$17$
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1 label the dimensions in the diagram at the right. 2 find the area of …
1. Label the two unlabeled bottom segments as 3 in. each. 2. $36$ in$^2$ 3. $9$ in$^2$ 4. Equation: $\text{Area of trapezoid} = \text{Area of square} + 2 \times \text{Area of one …
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what are the coordinates of point v? write your answer as an integer or…
$(-1, 1)$
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given rhombus efgh below. if $m\\angle hie = (-2x + 6)^\\circ$, solve f…
$x = -42$
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7. in the triangle, the angles are $x^\\circ$, $82^\\circ$, $24^\\circ$…
For problem 7: $x = 58$ For problem 8: $x = 30$
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leveled practice in 1-6, determine if the given side lengths could form…
1. No 2. Yes 3. Yes 4. No 5. Yes 6. No
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1) in a right triangle, one acute angle is 45°, one right side is $5\\s…
$x = 5\sqrt{6}$, $y = 5\sqrt{3}$
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given parallelogram defg below, $eh = 57$. if $hg = -x + 1$, solve for …
$x = -56$
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find the missing side of the right triangle. leave your answer in simpl…
$4\sqrt{6}$ ft
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find the space inside a parallelogram with a base of 17 and a height of…
85
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given parallelogram fghi below, $m\\angle ijf = 110^\\circ$. if $m\\ang…
$109$
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5. you are finding the area of a circle with a radius of 2 feet. is the…
The area of the circle is $4\pi$ square feet, which is an irrational number. This is because $\pi$ is irrational, and multiplying it by the rational number 4 results in an irratio…
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u6a lc#1 (w) find the measure of the side indicated. round to the neare…
12.1
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in parallelogram rstu if tv=14 find vr. answer attempt 2 out of 2
14
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find the coordinates of the centroid of the triangle with the vertices …
$(1, 10)$
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in parallelogram ghjk if kl=24 find kh. answer attempt 2 out of 2
48
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bcde ~ tsru. find de and rs. write your answers as decimals or whole nu…
$DE = 21$ $RS = 18$
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in parallelogram hjkl if hm=24 find mk. answer attempt 1 out of 2
24
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20. find the perimeter and area of this triangle. dimensions are in kil…
Perimeter: $\boldsymbol{36.3}$ kilometers Area: $\boldsymbol{52}$ square kilometers
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19. find the perimeter and area of this parallelogram. dimensions are i…
Perimeter: 112 kilometers, Area: 560 square kilometers
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find the missing side lengths. leave your answers as radicals in simple…
1) $x=5\sqrt{6}$, $y=5\sqrt{3}$ 2) $m=2\sqrt{3}$, $n=2$ 3) $x=2$, $y=\sqrt{2}$ 4) $a=14$, $b=7$ 5) $m=5\sqrt{2}$, $n=5$ 6) $x=3\sqrt{3}$, $y=3$ 7) $x=5\sqrt{2}$, $w=10$ 8) $x=16$,…
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the floor of a rectangular living room is 4 meters by 5.3 meters. what …
6.6 meters
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39 in.15 in.36 in.not drawn to scalescaleneisoscelesequilateralclassify…
Classify by sides: Scalene Classify by angles: Right
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b a triangle has two sides with lengths 9 inches and 16 inches. describ…
The length of the third side must be greater than 7 inches and less than 25 inches, or $7 < x < 25$. --- ### Exercises 2 and 3
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in exercises 2 and 3, determine which two statements contradict each ot…
A. $\triangle LMN$ is equilateral, B. $LM eq MN$ --- ### For Exercise 3:
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find the measure of the exterior angle. the measure of the exterior ang…
$139^\circ$
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find $m\\angle1$. then classify the triangle by its angles. $m\\angle1=…
$m\angle1 = 110^\circ$ The triangle can be classified by its angles as an obtuse triangle.
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which process will transform figure h onto figure k?reflect figure h ov…
Rotate Figure $H$ $180^\circ$ about the origin, then translate 2 units to the left.
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which process will create a figure that is not congruent to the figure …
Every point is moved so that it is $\frac{1}{2}$ as far from the x-axis.
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if figure b is transformed, which of these transformations will preserv…
All of the above
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which process will create a figure that is not congruent to the figure …
Every point on the figure is moved $\frac{1}{2}$ the distance to the origin.
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two-word completions select the pair of words that best completes the m…
1. d. durable ... gingerly 2. a. frugal ... amass 3. c. collaborate ... churlish 4. a. antics ... plaudits 5. b. prodigious ... bonanza 6. d. enterprise ... citadels 7. c. jostlin…
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find the measure of the three missing angles in the rhombus below. answ…
$x = 119$, $y = 61$, $z = 119$
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1. place a point at $(-3,-6)$ draw a line with a slope of 2 write the e…
$y=2x$
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9. if $jg = jf$, $gd = 13$, and $m\\widehat{cd} = 136^\\circ$, find eac…
## Problem 9 $ED=26$ $CF=13$ $m\overset{\frown}{ED}=136^\circ$ $m\overset{\frown}{HD}=68^\circ$ $m\overset{\frown}{CE}=88^\circ$ ## Problem 10 $QU=8$ $QR=16$ $m\overset{\frown}{ST…
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what is the length of the hypotenuse? if necessary, round to the neares…
15 miles
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angles independent practice answer each question below. m find the valu…
$28$ --- For the second incomplete question (missing diagram for $\angle ADC$ and $\angle BDC$), please provide the full diagram or additional details so I can assist you with tha…
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exterior angles (triangle)score: 2/3 penalty: 1 offquestiona side of th…
# Explicación: ## Paso 1: Usar propiedad de ángulos externos El ángulo externo es igual a la suma de los dos ángulos internos no adyacentes. $$x = 76^\circ + 52^\circ$$ ## Paso 2:…
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exterior angles (triangle) score: 1/3 penalty: 1 off question a side of…
$44^\circ$
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zoe is playing on the slide. over and over, she climbs the 3-meter ladd…
10.2 meters
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two cars leave the same parking lot, with one heading north and the oth…
9.4 kilometers
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the floor of a storage unit is 1.2 meters long and 4.2 meters wide. sta…
9.8 meters
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20. the area of a square is $9\\ cm^2$. a. how long is each side of the…
20. a. $3\ \text{cm}$ b. $12\ \text{cm}$ 21. a. 6 faces b. A net of 6 connected squares (e.g., 4 in a horizontal row, with 1 square attached to the top and bottom of the second sq…
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6.6 cm a 3.6 cm what is the length of the missing leg? if necessary, ro…
$5.5$ centimeters
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given $l \\parallel m \\parallel n$, find the value of $x$.
$56$
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find the tangents of the acute angles in the right triangle. write each…
$\tan D = \frac{7}{24} \approx 0.2917$ $\tan F = \frac{24}{7} \approx 3.4286$
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look at this graph: what are the coordinates of the vertex?
$(0, -10)$
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look at this graph: what is the equation of the axis of symmetry?
$x = -\frac{3}{2}$ (or $x = -1.5$)
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given $m \\parallel n$, find the value of $x$ and $y$.
$x = 36^\circ$, $y = 144^\circ$
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summerfield street and oxford avenue intersect. if the diagonal distanc…
8.3 meters
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8.8 km 7.8 km what is the perimeter? if necessary, round to the nearest…
20.7 kilometers
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on the school playground, the slide is 6.4 meters due west of the tire …
9.6 meters
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a pigeon was sitting 5 meters from the base of a telephone pole and fle…
8.7 meters
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three students are sitting on a school bus. ronald is 4 feet directly b…
17.2 feet
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use the graph of the quadratic equation for questions 7-10. 7. describe…
7. The parabola is increasing for $x > -5$ (all real numbers greater than -5). 8. The parabola is decreasing for $x < -5$ (all real numbers less than -5). 9. A vertical line $x=-5…
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what is the length of the missing leg? if necessary, round to the neare…
3.3 centimeters