Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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find the area of the figure. round to the nearest hundredths when neces…
\(297.48\) \(ft^{2}\)
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find the area of the figure. round to the nearest hundredths when neces…
\(214.35\space m^{2}\)
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what is the volume of the solid generated by rotating a semicircle with…
\( 36\pi \)
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6) matching. theorem 5.5b states that if the measure of one angle of a …
B. \( a eq b \) (assuming the second option is labeled as B, with the option text \( a eq b \))
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what is the volume of the object generated by rotating the rectangle ab…
$50\pi$
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4) matching. theorem 5.5a states that if one side of a triangle is long…
s: ### Question 4 First blank: longer; Second blank: shorter ### Question 5 The correct answer is: C. inequality (assuming the options are labeled A: theorem, B: postulate, C: ine…
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2) choose the correct answer. the triangle inequality theorems states t…
greater than (the option with "greater than") ### Question 3
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statements 1. δabc with ac > ab; \\(\\overline{bd}\\) is drawn so that …
3. b. Def. $\cong \angle$s 4. g. $\angle$ addition Postulate 6. c. Substitution 8. d. Comp. Prop. of $ eq$ 9. f. Trans. Prop. of $ eq$
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graph the solution of the inequality. 1 ≤ x + 1 first select the ray th…
To graph \(x\geq0\), use the ray with a closed endpoint (filled circle) pointing to the right, with the endpoint located at 0 on the number line.
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graph the solution of the inequality. 1 ≤ x + 1 first select the ray th…
To graph \(x \geq 0\), use the closed - circle (filled dot) ray pointing to the right (\(\bullet ightarrow\)) and place its endpoint at \(0\) on the number line.
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select all the pairs of adjacent angles. ∠tsv and ∠rsv ∠uvx and ∠uvs ∠w…
The pairs of adjacent angles are \(\boldsymbol{\angle TSV}\) and \(\boldsymbol{\angle RSV}\), \(\boldsymbol{\angle UVX}\) and \(\boldsymbol{\angle UVS}\), \(\boldsymbol{\angle WVX…
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select all the pairs of corresponding angles. ∠gfd and ∠jif ∠jik and ∠h…
The correct pairs of corresponding angles are $\boldsymbol{\angle GFD}$ and $\boldsymbol{\angle JIF}$, $\boldsymbol{\angle EFD}$ and $\boldsymbol{\angle HIF}$. (If we consider the…
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now its time to practice on your own graph the solution of the inequali…
The solution to the inequality \( 2\frac{1}{2}+p > - 1\frac{1}{2} \) is \( p > - 4 \). To graph it, use an open circle at \( - 4 \) and a ray pointing to the right.
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4. jeff states that $\\triangle pln \\cong \\triangle cvb$ because of a…
Nancy knows that the sum of the interior angles of a triangle is \(180^{\circ}\), so if two angles of one triangle are congruent to two angles of another triangle, the third angle…
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graph the solution of the inequality. $2\\frac{1}{2} + p > -1\\frac{1}{…
The ray should be the open - circle ray pointing to the right (the \( \boldsymbol{\circ ightarrow} \) symbol) with the endpoint located at \(-4\) on the number line.
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select all the pairs of alternate interior angles. ∠poq and ∠pol ∠nol a…
The correct pairs of alternate interior angles are $\boldsymbol{\angle KLO}$ and $\boldsymbol{\angle POL}$, and $\boldsymbol{\angle KLO}$ and $\boldsymbol{\angle NOQ}$. (So the op…
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select all the pairs of consecutive interior angles. ∠lkn and ∠onk ∠mnk…
The correct pairs of consecutive interior angles are $\boldsymbol{\angle LKN}$ and $\boldsymbol{\angle ONK}$, $\boldsymbol{\angle MNP}$ and $\boldsymbol{\angle JKN}$, and $\boldsy…
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select all the pairs of vertical angles. ∠nor and ∠pom ∠sro and ∠qrt ∠s…
The correct pairs of vertical angles are $\boldsymbol{\angle NOR}$ and $\boldsymbol{\angle POM}$, $\boldsymbol{\angle SRO}$ and $\boldsymbol{\angle QRT}$. (If we consider the chec…
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select all the pairs of alternate exterior angles. ∠ijl and ∠hgj ∠kjg a…
The correct pairs of alternate exterior angles are \(\angle FGE\) and \(\angle KJL\), \(\angle HGE\) and \(\angle IJL\) (and also, if we consider the other valid one, \(\angle FGE…
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select all the pairs of consecutive interior angles. ∠vwt and ∠stw ∠utr…
The correct pairs are \(\angle VWT\) and \(\angle STW\), \(\angle XWT\) and \(\angle UTW\)
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7-41. the triangles in the diagram at right are similar. solve for x. s…
$x = 10$
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rectangle defg is rotated 180° clockwise about the origin to produce re…
\((x,y)\to(-x,-y)\)
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select all the pairs of alternate interior angles. ∠onk and ∠lki ∠lkn a…
The correct pairs of alternate interior angles are \(\boldsymbol{\angle LKN}\) and \(\boldsymbol{\angle ONP}\), \(\boldsymbol{\angle MNK}\) and \(\boldsymbol{\angle LKN}\) (assumi…
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hi is rotated 90° clockwise about the origin to produce hi. write the r…
\((x,y)\to(y, -x)\)
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1 for each solid, write down an expression for the volume v: a b c (dia…
a. \( V=\boldsymbol{\frac{32}{3}\pi x^{3}} \) b. \( V=\boldsymbol{abc} \) c. \( V=\boldsymbol{3\pi y^{2}(y - 4)} \)
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use the law of cosines to find the indicated side length in this triang…
\(6.79\)
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△ghi is rotated 180° counterclockwise about the origin to produce △g′h′…
\((x,y)\to(-x,-y)\)
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select all the pairs of adjacent angles. ∠stw and ∠vwy ∠stw and ∠str ∠x…
$\angle STW$ and $\angle STR$, $\angle VW T$ and $\angle XWT$
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quadrilateral hijk is reflected across the x-axis to produce quadrilate…
\((x,y)\to(x,-y)\)
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9 (no text description of the problem, only figures of various geometri…
For the cylinder (top right), the volume is approximately \( 19.46 \, \text{m}^3 \) (or other values depending on the shape chosen for calculation).
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select all the pairs of alternate interior angles. ∠hil and ∠jig ∠kli a…
The correct pairs of alternate interior angles are $\angle KLI$ and $\angle JIL$, $\angle MLI$ and $\angle HIL$. So the correct options (from the given choices) are the ones with …
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hi is reflected across the x-axis to produce hi. write the rule for the…
\((x,y)\to(x,-y)\)
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quadrilateral klmn is rotated 180° counterclockwise about the origin to…
\((x,y)\to(-x,-y)\)
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quadrilateral rstu is reflected across the y-axis to produce quadrilate…
\((x,y)\to(-x,y)\)
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select all the pairs of adjacent angles. ∠ijg and ∠ijl ∠hge and ∠hgj ∠h…
The pairs of adjacent angles are \(\angle IJG\) and \(\angle IJL\), \(\angle HGE\) and \(\angle HGJ\), \(\angle HGJ\) and \(\angle FGJ\), \(\angle KJG\) and \(\angle IJG\) (all th…
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△ijk is reflected across the y-axis to produce △ijk. write the rule for…
\((x,y)\to(-x,y)\)
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△hij is rotated 270° clockwise about the origin to produce △hij. write …
\((x,y)\to(y, -x)\)
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select all the pairs of corresponding angles. ∠mnk and ∠onk ∠onp and ∠l…
$\angle ONP$ and $\angle LKN$, $\angle MNP$ and $\angle JKN$
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select all the pairs of adjacent angles. ∠efd and ∠gfd ∠jif and ∠hik ∠j…
The pairs of adjacent angles are \(\angle EFD\) and \(\angle GFD\), \(\angle JIF\) and \(\angle HIK\), \(\angle JIK\) and \(\angle JIF\), \(\angle HIF\) and \(\angle JIK\)
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5. why does hl (hypotenuse – leg) work as a triangle congruence criteri…
HL (Hypotenuse - Leg) works for right - angled triangles. Using the Pythagorean theorem ($a^{2}+b^{2}=c^{2}$), if hypotenuse ($c$) and one leg ($a$) of two right - angled triangle…
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select all the pairs of alternate exterior angles. ∠kli and ∠mln ∠hil a…
The correct pair of alternate exterior angles is $\angle MLN$ and $\angle HIG$ (among the given options, the pair $\angle MLN$ and $\angle HIG$ is the correct one for alternate ex…
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which angles are alternate exterior angles? (image of intersecting line…
$\angle TUW$ and $\angle SRP$ (the option with $\angle TUW$ and $\angle SRP$)
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which angles are alternate exterior angles? ∠nmj and ∠kjh ∠ijh and ∠ijm…
$\angle LMO$ and $\angle KJH$ (the option with $\angle LMO$ and $\angle KJH$)
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which angles are vertical angles? \ (image of lines and angles with poi…
$\angle HGE$ and $\angle FGJ$ (the option with $\angle HGE$ and $\angle FGJ$)
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find the area of this triangle. 5 110° 7 ? square units round to the ne…
\( 16.44 \)
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a training field is formed by joining a rectangle and two semicircles, …
\( 9817.84 \) square meters
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a rectangular piece of paper with length 27 cm and width 12 cm has two …
\( 210.96 \, \text{square centimeters} \) (or \( 210.96 \, \text{cm}^2 \))
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graph the image of δklm after a translation 10 units right and 5 units …
The translated triangle \( \triangle K'L'M' \) has vertices at \( (7, 2) \), \( (8, 10) \), and \( (6, 4) \) (graph by plotting these points).
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a rose garden is formed by joining a rectangle and a semicircle, as sho…
\( 420.48 \) square feet (or \( 420.48\ \text{ft}^2 \))
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find sec θ. (-5, √11) r θ sec θ = -?/
\(\frac{6}{5}\) (the numerator is 6, the denominator is 5)
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a grain silo has a cylindrical shape. its radius is 8.5 ft, and its hei…
10890 cubic feet (or \( 10890\ \text{ft}^3 \))
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the radius of a cylindrical construction pipe is 2 ft. if the pipe is 2…
251 cubic feet (or \( 251\ \text{ft}^3 \))
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the diameter of a cylindrical water tank is 13 ft, and its height is 19…
2521 cubic feet (or \( 2521\space ft^{3} \))
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what is sin α? (-√5,2) sin α = ?
\(\frac{2}{3}\)
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find the volume of this rectangular pyramid. be sure to include the cor…
\( 56 \) cubic inches (or \( 56 \text{ in}^3 \))
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try again the value in your answer is incorrect. find the volume of thi…
\(\frac{224}{3}\) cubic feet (or approximately \( 74.67\,\text{ft}^3 \))
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which angle is coterminal with 170°? -450° -350° -190°
\(-190^\circ\) (the third option, \(-190^\circ\))
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these figures are congruent. what is m∠i? □°
\( 84 \)
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in the above figure, o is the center of the circle, segment bc is a dia…
# Explanation: ## Step1: Find the radius of the circle The diameter \( BC = 24 \, \text{cm} \), so the radius \( OB = OD=\frac{24}{2}=12 \, \text{cm} \). ## Step2: Analyze the tan…
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find the measure of \\( \\theta \\), in radians, if \\( r = 5 \\) and t…
\( 3.1 \)
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passage tools show hide enter the answer in the blank what is the measu…
# Explanation: ## Step1: Analyze circle properties Since \( O \) is the center, \( OB = OC = OD \) (radii of the circle). Also, \( BC \) is a diameter, so \( OB = OC = 12 \, \text…
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a triangle is graphed on the unit circle as shown. what is the value of…
D. - 0.71
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a cone has a height of 17 millimeters and a diameter of 14 millimeters.…
\( 872.65 \)
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a triangle is graphed on the unit circle as shown. what is the value of…
D. -1.73
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a cone has a height of 20 inches and a radius of 7 inches. what is its …
1026.25
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2. a circle’s circumference is approximately 76 cm. estimate the radius…
- Radius: Approximately \( \boldsymbol{12} \) cm (or more precisely ~12.1 cm) - Diameter: Approximately \( \boldsymbol{24} \) cm (or more precisely ~24.2 cm) - Area: Approximately…
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art wants to cover an isosceles triangle with a height of 9 centimeters…
31.5 square centimeters
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what is the volume of this cone? round your answer to the nearest hundr…
\( 974.02 \)
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a wooden shipping crate is a cube with a volume of 64 cubic feet. what …
4 feet
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find the volume of: a b c d e f
s: a. \( \boldsymbol{25.116 \, \text{cm}^3} \) b. \( \boldsymbol{765.486 \, \text{cm}^3} \) c. \( \boldsymbol{\approx 2972.47 \, \text{cm}^3} \) (or exact form \( 8.2^2 \times 13.…
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what is the edge length of the cube? ? cm v=27 cm³
3 cm
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a cone has a volume of 1526.04 cubic meters and a radius of 9 meters. w…
\( 18.00 \)
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what is the volume of this cone? round your answer to the nearest hundr…
\( 1139.19 \)
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a cone has a volume of 3183.96 cubic inches and a radius of 13 inches. …
\( 17.99 \)
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a cone has a volume of 640.56 cubic feet and a height of 17 feet. what …
\( r\approx\boxed{6.00} \) (rounded to the nearest hundredth)
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what is the volume of this cone? round your answer to the nearest hundr…
2279.64
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diane is pumping water into a tank at a rate of 17 liters per minute. s…
(a) The solution to the inequality is \(x < 4\). For graphing, an open circle at 4 and shade left. (b) To meet the goal, the tank will have less than \(\boldsymbol{52}\) liters of…
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what is the volume of this cone? round your answer to the nearest hundr…
\( 769.69 \)
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a cone has a height of 9 meters and a radius of 3 meters. what is its v…
84.82
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what is the scale factor from δabc to δdef? images of triangles with si…
D. 8
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a cone has a height of 18 yards and a radius of 15 yards. what is its v…
\( 4241.15 \)
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complete the indirect proof of the exterior angle inequality theorem. 5…
54. $m\angle 1 \leq m\angle Y$ 55. $m\angle1=m\angle Y+m\angle Z$; $m\angle Y=m\angle Y+m\angle Z$; $m\angle Z=0$ (impossible) 56. $m\angle1=m\angle Y+m\angle Z$; $m\angle1 - m\an…
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what is the volume of this cone? round your answer to the nearest hundr…
\( 513.13 \)
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6.6 ft. 3.8 ft. what is the length of the hypotenuse? if necessary, rou…
\(7.6\)
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5 mi. 8 mi. what is the length of the hypotenuse? if necessary, round t…
\( 9.4 \)
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selena’s class is painting a mural on the wall of her school. the mural…
10 feet No, because the mural can't be -10 feet high.
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6.1 ft. 1.3 ft. what is the length of the hypotenuse? if necessary, rou…
\( 6.2 \)
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selenas class is painting a mural on the wall of her school. the mural …
10 feet
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what is the length of the hypotenuse? if necessary, round to the neares…
\(9.9\)
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what is the length of the hypotenuse? if necessary, round to the neares…
$9.2$
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which descriptions from the list below accurately describe the relation…
Same size, Congruent, Similar, Same shape (all four options apply as the triangles are congruent, hence satisfy all these relationships)
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what is the length of the hypotenuse? if necessary, round to the neares…
80
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what is the scale factor from δabc to δuvw? (image of two right triangl…
C. 5
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c 18 km 80 km what is the length of the hypotenuse? if necessary, round…
82.0
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what is the length of the hypotenuse? if necessary, round to the neares…
60
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which descriptions from the list below accurately describe the relation…
Similar, Same shape
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what is the length of the hypotenuse? if necessary, round to the neares…
45
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what is the length of the hypotenuse? if necessary, round to the neares…
10
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the length of a rectangle is five times its width. if the perimeter of …
length: \( 30 \) yd width: \( 6 \) yd
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what is the scale factor from δabc to δdef? a. 10 b. 5 c. 1 d. 0
C. 1