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3 years ago

For each sequence, find the common difference.

Mathematics

1 answer:

Juliette [100K]3 years ago

8 0

Answer:

first is 18

second is 36

third is -10

fourth is -10

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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

What is 6/51 written as a lowest term

daser333 [38]

2/17 is the lowest term for 6/51

7 0

3 years ago

How much change will you get back if you bought three $0.78 chocolate bars and paid with a 5$ bill

Crazy boy [7]

3 times 0.78 = 2.34 dollars

5.00 - 2.34 = 2.66

So your change is $2.66

8 0

3 years ago

Read 2 more answers

The sum of 15 and the product of five and V

soldi70 [24.7K]

put it into an equation..

15+5v

sum is addition and product is multiplication

4 0

3 years ago

On a scale drawing of a fence, 3.75 inches represents 12 feet. Estimate the actual length of a second fence that is 2.8 in the d

MA_775_DIABLO [31]

In order to find the scale they are using first you must divide 12 by 3.75.

But since we get to estimate, the 3.75 will be made into a 4 because it's the whole number closest to 3.75.

12/4=3

Take your 3 inch scale and multiply it by 3 (we are using 3 instead of 2.8 because it's a whole number) to get the real life fence size.

3x3=9

The fence is about 9 feet.

3 0

3 years ago