(A)Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.

$\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}$

Step-by-step explanation:

In Triangles WUV and XZY:

$\angle VUW$ and \angle YXZ$ are congruent. \\\angle U W V$ and \angle X Z Y$ are congruent.\\ \angle U V W$ and \angle Z Y X$ are congruent.$

Therefore:

$\triangle UWV \cong \triangle XZY$

To show that the triangles are similar by the SSS similarity theorem, we have:

$\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}$

As a check:

$\dfrac{UW}{XZ}=\dfrac{40}{32}=1.25\\\\\dfrac{WV}{ZY}=\dfrac{60}{48}=1.25\\\\\dfrac{UV}{XY}=\dfrac{50}{40}=1.25$

The correct option is A.

4 0

3 years ago

On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula o

monitta

Answer:

(1,3)

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Help me pls i dont understand math

e-lub [12.9K]

Answer:

c = -6

Step-by-step explanation:

Let us solve your equation step-by-step, which is this: c /−3 + 5 = 7

The first step is to simplify both sides of the equation: −1 /3 c + 5 = 7

Then, subtract 5 from both sides: -1/3c + 5 - 5 = 7 - 5 ---> -1/3c = 2

Multiply both sides by -3/1 making it equal to: c = -6.

4 0

3 years ago

Two families go skiing on a Saturday. One family purchases three adult lift tickets and four lift tickets for $188. Another fami

Mnenie [13.5K]

Answer:using elimination to solve for x

9x +6y = 3*134 | Multiplying 1st equation by 3

-4x -6y = -2*146 | Multiplying 2nd equation by -2

5x = 3*134 - 2*146

5x = $110

x = $22, the cost of the youth ticket

Step-by-step explanation:This question Sets Up two equations with 2 unknowns

Let x and y represent the cost of the youth and adult ticket respectively

Question states***

3x + 2y = $134

2x + 3y = $146

7 0

3 years ago