Ask question

Ask question

All categories

3 years ago

11

Triangles PQR and XYZ are similar.

1 answer:

laiz [17]3 years ago

7 0

Answer:

Option A. 5.25 units

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

$\frac{PR}{XZ}=\frac{QR}{YZ}$

substitute the given values

$\frac{7}{XZ}=\frac{4}{3}$

solve for XZ

$XZ=7(3)/4\\XZ=5.25\ units$

You might be interested in

The coordinates of the vertices of a polygon are (-2, 1). (-3, 3), (-1, 5), (2, 4), and (2, 1). What is the perimeter of the pol

kobusy [5.1K]

Answer:

$15.2\ units$

Step-by-step explanation:

step 1

Plot the vertices of the polygon to better understand the problem

we have

$A(-2, 1). B(-3, 3), C(-1, 5), D(2, 4),E(2, 1)$

using a graphing tool

The polygon is a pentagon (the number of sides is 5)

see the attached figure

The perimeter is equal to

$P=AB+BC+CD+DE+AE$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 2

<em>Find the distance AB</em>

$A(-2, 1). B(-3, 3)$

substitute in the formula

$d=\sqrt{(3-1)^{2}+(-3+2)^{2}}$

$d=\sqrt{(2)^{2}+(-1)^{2}}$

$d_A_B=\sqrt{5}=2.24\ units$

step 3

<em>Find the distance BC</em>

$B(-3, 3), C(-1, 5)$

substitute in the formula

$d=\sqrt{(5-3)^{2}+(-1+3)^{2}}$

$d=\sqrt{(2)^{2}+(2)^{2}}$

$d_B_C=\sqrt{8}=2.83\ units$

step 4

<em>Find the distance CD</em>

$C(-1, 5), D(2, 4)$

substitute in the formula

$d=\sqrt{(4-5)^{2}+(2+1)^{2}}$

$d=\sqrt{(-1)^{2}+(3)^{2}}$

$d_C_D=\sqrt{10}=3.16\ units$

step 5

<em>Find the distance DE</em>

$D(2, 4),E(2, 1)$

substitute in the formula

$d=\sqrt{(1-4)^{2}+(2-2)^{2}}$

$d=\sqrt{(-3)^{2}+(0)^{2}}$

$d_D_E=\sqrt{9}\ units$

$d_D_E=3\ units$

step 6

<em>Find the distance AE</em>

$A(-2, 1).E(2, 1)$

substitute in the formula

$d=\sqrt{(1-1)^{2}+(2+2)^{2}}$

$d=\sqrt{(0)^{2}+(4)^{2}}$

$d_A_E=\sqrt{16}\ units$

$d_A_E=4\ units$

step 7

Find the perimeter

$P=AB+BC+CD+DE+AE$

substitute the values

$P=2.24+2.83+3.16+3+4=15.23\ units$

Round to the nearest tenth of a unit

$P=15.2\ units$

6 0

2 years ago

Solve 32x+3 = 243 for x. <br><br> A. x = 10<br> B. x = 1<br> C. x = 2/5<br> D. x = 2

Kaylis [27]

The answer is not any of the letters. I got x=15/2 or x=7.5. You may have made an error in your question.

3 0

2 years ago

Ap:3, 2, 1....<br>what is its coomon difference

Nastasia [14]

Answer:

-1

Step-by-step explanation:

3-1=2

2-1=1

3 0

1 year ago

Explain or show how you could find by using the value of 5⋅3. If needed, use this diagram to support your reasoning.

Anika [276]

Answer:

Step-by-step explanation:

HELLOO

8 0

2 years ago

Abigail bought some mangoes at 3 for GH¢ 0.90 and sold all at 4 for GH¢ 1.60.If she made a profit of GH¢ 35.00,how many mangoes

umka21 [38]

Answer:

2

Step-by-step explanation:

Total costs = 4 + (3 * 2) + 5 + 15

Total costs = 4 + 6 + 5 + 15

Total costs = $ 30

Substituting values we have:

Total change = 32 - 30

Total change = 2 $

6 0

2 years ago