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4 years ago

Using the following image, solve the problems below given that U is the midpoint point of TV.

Mathematics

1 answer:

Inessa05 [86]3 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

Given that U is the midpoint of TV, then

TU = UV , substitute values

8x + 11 = 12x - 1 ( subtract 12x from both sides )

- 4x + 11 = - 1 ( subtract 11 from both sides )

- 4x = - 12 ( divide both sides by - 4 )

x = 3

Thus

TU = 8(3) + 11 = 24 + 11 = 35

UV = 12(3) - 1 = 36 - 1 = 35

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Verify the identity. cos 4x + cos 2x = 2 - 2 sin^2(2x) - 2 sin^2 x

Advocard [28]

So are you trying to simplify one side to get it to look like the other?

8 0

3 years ago

Which is a solution for 7 (x + 2) = 35? A. -2 B. 7/33 C. 3 D. 5 E. 26

enot [183]

7(x+2) = 35

Use the distributive property:

7x + 14 = 35

Subtract 14 from each side:

7x = 21

Divide both sides by 7:

x = 21 / 7

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The answer is C. 3

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3 years ago

Read 2 more answers

Find the Area of the parallelogram 14cm 1 12cm

Black_prince [1.1K]

Answer:

1568 cm

Step-by-step explanation:

Base x Height = Area

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4 0

3 years ago

-5x - 8y = 17 2x - 7y = -17

Mrac [35]

Answer:

x = -5

y = 1

Step-by-step explanation:

-5x - 8y = 17

x = -5

y = 1

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4 0

3 years ago

a rectangular pyramid has a volume of 190 cubic centimeters. Find two possible sets of measurements for the base area and height

DerKrebs [107]

<h3>One possible set for the base area and height of the pyramid is 570 cm and 1 cm respectively</h3><h3>Other possible set for the base area and height of the pyramid is 285 cm and 2 cm respectively</h3>

Solution:

The volume of rectangular pyramid is given as:

$Volume = \frac{1}{3} \times base\ area \times height$

Given that,

Rectangular pyramid has a volume of 190 cubic centimeters

$190= \frac{1}{3} \times base\ area \times height$

Substitute, base area = 570 and height = 1

Then we get,

$190 = \frac{1}{3} \times 570 \times 1\\\\190 = 190$

Thus one possible set for the base area and height of the pyramid is 570 cm and 1 cm respectively

Substitute, base area = 285 and height = 2

$190 = \frac{1}{3} \times 285 \times 2\\\\190 = \frac{1}{3} \times 570\\\\190 = 190$

Thus other possible set for the base area and height of the pyramid is 285 cm and 2 cm respectively

6 0

4 years ago