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3 years ago

What is the measure of XYZ?

Mathematics

2 answers:

Anuta_ua [19.1K]3 years ago

8 0

<XYZ = 1/2(86 + 44)

<XYZ = 1/2 (130)

<XYZ = 65

Answer

B. 65

kirza4 [7]3 years ago

7 0

Answer:

Option B. 65°

Step-by-step explanation:

By the theorem of intersecting chords of a circle.

∠ XYZ = $\frac{1}{2}$ [m(arc VM) + m(arc XZ)]

Now by putting values of arc VM and arc XZ, we can get the measure of

∠ XYZ.

∠ XYZ = $\frac{1}{2}$ [44 + 86]

= $\frac{1}{2}$ (130)

= 65°

Therefore, The measure of XYZ = 65°, Option B.

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Jaylan decided she no longer liked the car she was leasing and turned it in 1

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Answer:

Step-by-step explanation:

I'm pretty sure its lease penalty

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3 years ago

Suppose KLMN ~ PQRS. Find the value of x.

arlik [135]

Complete question is attached.

Answer:

B) 8

Step-by-step explanation:

In this question, KLMN ~ PQRS. This means they are similar shapes.

From the image, we could denote that:

KL ~ PQ

LM ~ QR

Given that:

KL = 12

PQ = 30

QR = 20

LM = x

To find x, let's use tge expression:

$\frac{KL}{PQ} = \frac{LM}{QR}$

$= \frac{12}{30} = \frac{x}{20}$

Cross multiplying, we have:

12 * 20 = 30x

240 = 30x

To find x, let's divide both sides by 30.

$\frac{240}{30} = \frac{30x}{30}$

8 = x

x = 8

The correct option is option B.

3 0

3 years ago

Ella purchased a game that was on sale for 12% off. The sales tax in her county is 6%. Let y represent the original price of the

klio [65]

Answer:

The expression that can be used to determine the final cost of the game is

1.06(0.88 y) ⇒ (C)

Step-by-step explanation:

If the price of an item is discounted, that mean its new price will be less its initial price

The taxes on item, makes its new price greater than the initial price because tax is add

Let us solve the problem

∵ Ella purchased a game that was on sale for 12% off

→ That means the new price will (100% - 12%) of the initial price

∵ y represented the initial price of the game

→ Multiply y by (100% - 12%) to get the new price

∴ The new price = y (100% - 12%)

∴ The new price = y (88%)

→ Change 88% to normal number by divide it by 100

∴ The new price = y ( $\frac{88}{100}$ )

∴ The new price = 0.88 y

∵ The sales tax in her county is 6%

→ That means the final cost will be (100% + 6%) of 0.88 y

∴ The final cost = (100% + 6%) × (0.88 y)

∴ The final cost = 106% × (0.88 y)

→ Change 106% to normal number by divide it by 100

∴ The final cost = $\frac{106}{100}$ × (0.88 y)

∴ The final cost = 1.06(0.88 y)

The expression that can be used to determine the final cost of the game is 1.06(0.88 y)

4 0

2 years ago

Choose the graph that represents the following system of inequalities:

Licemer1 [7]

Answer:

FIRST.

64 square inches matches to a cross section parallel to the base of a right rectangle prism that is 3 inches long, 7 inches wide, and 11 inches tall

This is shown in the first figure below. A right rectangular prism where every edge connecting its base and the opposite face makes right angles with both faces. Since the tall is the side that measures 11 inches, then the base is formed by 3 inches long and 7 inches wide. Therefore, the area of this shape can be found as the area of a rectangle, which is: 21 in squared.

SECOND.

64 square inches matches to a cross section parallel to the base of a cube whose edges are 8 inches long.

This is shown in the second figure below. A cube is a prism whose sides all have the same length and in this case is 8 inches. We name cross section is to the slice that cuts through a solid. If the cross section is parallel to the base of a cube, then it forms a square with length . Therefore, the area of this shape can be found as the area of a square, which is: 64 in squared.

Third.

7 square inches matches to a cross section passing through the diagonal of opposite faces of a cube with edges that are 7 inches long and a diagonal that is approximately 10 inches

This is shown in the third figure below. As you can see, the cross section passes through the diagonals of the base and the top of the cube that are two opposite faces. This form a rectangle having sides where:

So: 70 in squared

FOURTH.

300 square inches matches to a cross section perpendicular to the base and passing through the diagonals of the base and opposite face of a right rectangular prism that is 24 inches wide, 7 inches long, and 12 inches tall and measures 25 inches along the diagonal of the base.

This is shown in the fourth figure below. The cross section passes through the diagonals of the base and the top of the right rectangular prism. They are opposite to each other, so the shape of the cross section is a rectangle whose sides are where:

So: 300 in squared.

Step-by-step explanation:

6 0

3 years ago

Evaluate u +xy, for u = 12,x = 7, and y = 4

jeka57 [31]

Answer:

Step-by-step explanation:

Plug in 12 for u, 7 for x, and 4 for y in the given expression:

u + xy = 12 + (7)(4)

Remember to follow PEMDAS. First, multiply, and then add:

u + xy = 12 + (7 * 4) = 12 + (28) = 40

40 is your answer.

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3 years ago