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3 years ago

If 5 over 6 gallon covers 1 over 4 of the house then how much paint is needed for the entire house

1 answer:

4 0

If 5/6 gallons covers a quarter of the house, then you would need 4 times as much paint:
$\frac{5}{6} \times 4$
Which is 20/6 gallons or 3 and 1/3 gallons
Hope this helped

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If the measure of angle BCD=51 degrees, solve for x.

BabaBlast [244]

Answer:

$x=5$

Step-by-step explanation:

step 1

Find the measure of angle EFD

In this problem I will assume that ABCD is a parallelogram

In a parallelogram opposite angles are congruent and consecutive angles are supplementary

$m\ angle BCD=m\angle BED=51^o$

$m\ angle FED=(1/2)m\angle BED=(1/2)51^o=25.5^o$ --- > given problem

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

In the triangle EFD

$m\ angle FED+m\ angle FDE+m\ angle EFD=180^o$

substitute the given values

$25.5^o+55^o+m\ angle EFD=180^o$

$80.5^o+m\ angle EFD=180^o$

$m\ angle EFD=180^o-80.5^o$

$m\ angle EFD=99.5^o$

step 2

Find the measure of angle EFB

we know that

$m\angle EFB+m\angle EFD=180^o$ ---> by supplementary angles

we have

$m\ angle EFD=99.5^o$

substitute

$m\angle EFB+99.5^o=180^o$

$m\angle EFB=180^o-99.5^o$

$m\angle EFB=80.5^o$

step 3

Find the value of x

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

In the triangle EBF

$m\ angle BEF+m\ angle EFB+m\ angle EBF=180^o$

we have

$m\angle BEF=m\ angle FED=25.5^o$

$m\angle EFB=80.5^o$

$m\angle EBF=(14x+4)^o$

substitute

$25.5^o+80.5^o+(14x+4)^o=180^o$

solve for x

Combine like terms

$(14x+110)^o=180^o$

$14x=180-110$

$14x=70$

$x=5$

4 0

3 years ago

Find the sum of 7.7, 0.94, and 13

san4es73 [151]

Answer:

21.64

Step-by-step explanation:

7.7+0.94+13=21.64

6 0

3 years ago

How many triangles can be made if two sides are 4 inches and the angle between them is 90°?

Tcecarenko [31]

2 triangles can be made

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4 years ago

Round 100.9158 to the nearest whole number

Natalka [10]

The answer would be 101

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3 years ago

How is adding and subtracting radical expressions similar to adding and subtracting variables ?????

steposvetlana [31]

Answer: To add or subtract radicals, the indices and what is inside the radical (called the radicand) must be exactly the same. If the indices and radicands are the same, then add or subtract the terms in front of each like radical. If the indices or radicands are not the same, then you can not add or subtract the radicals.

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3 years ago

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