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3 years ago

In the construction of a segment congruent to a given segment shown, what is CD?

Mathematics

1 answer:

pogonyaev3 years ago

4 0

If segments AB and CD are congruent, then they have equal lengths:

5x-2=2x+7.

Solve this equation.

1. Separate terms with x and without x in different sides:

5x-2x=7+2,

3x=9.

2. Divide by 3:

x=3.

Then CD=2x+7=2·3+7=6+7=13.

Answer: correct choice is B.

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Iteru [2.4K]

Answer:

y= 32

Step-by-step explanation:

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8 0

2 years ago

What is the mean (average) of these five numbers?

IRINA_888 [86]

Answer:

C. 5

Step-by-step explanation:

Mean: Numbers over amount of numbers

(2 + 4 + 5 + 6 + 8)/5

25/5

4 0

2 years ago

Solve for z 3=(z+1) write your answers as integers or as proper or improper fractions

ch4aika [34]

Answer:

z=2

Step-by-step explanation:

Just solve

1 + z = 3 (minus 1 on both sides)

z = 2

Plug in

3=(2+1)

3 = 3

7 0

3 years ago

Kyle held a balloon 8 feet off the ground, straight above his head. Ava is standing 15 feet directly to the right of Kyle.

Mazyrski [523]

Complete Question:

Kyle held a balloon 8 feet off the ground, straight above his head. Ava is standing 15 feet directly to the right of Kyle.

Write an equation using the Pythagorean Theorem to find the value of x.

How far are Ava's feet from the balloon?

Answer:

Ava's feet is 17ft away from the balloon

Step-by-step explanation:

Given

$height = 8ft$

$distance = 15ft$

The attached image represents the scenario

Using Pythagoras theorem (from the attachment), we have:

$x^2 = 8^2 + 15^2$

$x^2 = 64 + 225$

$x^2 =289$

Take square roots of both sides

$x = \sqrt{289$

$x = 17$

6 0

3 years ago

What is the slope of the line whose equation is y-4=5/2(x-2)

bezimeni [28]

Answer:

m=5/2

Step-by-step explanation:

To find the slope, use the formula y=mx+b. m is the slope. The line with the equation y-4=5/2(x-2) gives us a slope of m=5/2. Hope it helps!

6 0

3 years ago