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3 years ago

The parallelograms below are similar.

Mathematics

1 answer:

Alexxx [7]3 years ago

8 0

9514 1404 393

Answer:

AB = 4

∠E = 30°

Step-by-step explanation:

Side AD is 4 times the length of corresponding side EH, so we expect side AB to be 4 times the length of side EF.

AB = 4·EF = 4·1

AB = 4

Angle E will have the same measure as corresponding angle A.

angle E = 30°

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The volume V of a prism with base area B and height h is V=Bh. Solve the formula for h. Then use both formulas to find the heigh

GalinKa [24]

Answer:

Height is 5 ft

Step-by-step explanation:

The prism is attached.

The volume formula is:

$V=Bh$

Where

V is volume

B is area of base

h is height of prism

Now, solving for "h", gives us:

$V=Bh\\h=\frac{V}{B}$

Looking at the prism, it is given:

V = 175

B = 35

Substituting, we get the height:

$h=\frac{V}{B}\\h=\frac{175}{35}\\h=5$

The height is 5 ft

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3 years ago

Fond the value of x.

GalinKa [24]

Answer:

Step-by-step explanation:

The sum of internal angles in a triangle is equal to 180

58 + 47 + x = 180

105 + x = 180 subtract 105 from both sides

x = 75

5 0

3 years ago

Read 2 more answers

Five times a number is the same as 30 more than 8 times the number. Find the number

WARRIOR [948]

Hello.

5x = 8x+30

5x-8x+30 = 0

-3x=-30

x=-10

Have a nice day

5 0

4 years ago

Read 2 more answers

Find the area of the figure

sveticcg [70]

Answer:

What figure?

Step-by-step explanation:

3 0

3 years ago

Solve. 14/n+7=10/n-4 N=5.25 N=3.5 N=31.5 N=30

Ilya [14]

Answer:

n=31.5

Step-by-step explanation:

The given question is:

$\frac{14}{n+7}=\frac{10}{n-4}$

Cross multiply to get:

$14(n-4)=10(n+7)$

Expand the parenthesis:

$14n-56=10n+70$

Group similar terms:

$14n-10n=70+56$

Combine the like terms

$4n=126$

Divide both sides by 4

$n=\frac{126}{4}$

n=31.5

5 0

3 years ago