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Airida [17]
3 years ago
7

If < ABC forms a linear pair with < CBD, use the linear pair postulate to determine the value of X. Then find the measure

of each angle.
X = _____ ??

m < ABC _____ ??

m < CBD _____ ??

Please help! I’ll give brainliest!!

Mathematics
1 answer:
Elanso [62]3 years ago
8 0

Step-by-step explanation:

2x+13x-15=180 since a linear pair is a pair of consecutive angles that adds up to 180 degrees.

15x-15=180 because we combine like terms.

15x=165 because of the subtraction property of equality.

x=11 by the division property of equality.

abc=22 by substitution and multiplication

cbd=143-15 by substitution and multiplication

cde=128 by subtraction

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Answer:

7560 cubic units

Step-by-step explanation:

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Combine like terms. 5/6x - 2/3x A. 1/6x B. 1/3x C. 1/2x D. x
professor190 [17]
The answer would be A
\frac{5}{6} - \frac{2}{3}  or  \frac{4}{6} =  \frac{1}{6}
3 0
3 years ago
What is the length of x? What is the length of EF? Only enter numbers in the answer boxes below:
dimaraw [331]

Focus on triangles DFC and DFE:

  • They are both right triangles because DF is perpendicular to EC
  • DC=DE
  • DF is a common side

So, the two triangles are congruent. It follows that CF=FE, and in particular

8x=3x+15 \iff 5x=15 \iff x=3

And since x=3, the length of EF is

EF=3x+15=3\cdot 3+15=24

7 0
3 years ago
Aaron invested $740 in an account paying an interest rate of 5%
vlada-n [284]

The amount of money   Justin would have in his account than Aaron, to the nearest dollar is $0

What is the future value formula for continuous compounding cash flow?

The future value, which is used to determine the worth of this investment of $740 made now in 18 years is as shown below:

FV=PV*e^(rt)

FV=the worth of the investment in 18 years=unknown

PV=the amount invested today=$740

e=mathematical exponential value=2.7182818

r=rate of interest which compounded continuously=5%

t=time of investment in years=18

FV=$740*2.7182818^(5%*18)

FV=$740*2.7182818^(0.90)

FV=$740*2.459603087981220

FV=$1,820.11

Justin:

FV=PV*(1+r/m)^(n*m)

PV=$740

r=5%

m=number of times in a year that interest is compounded=365

m=number of years=18

FV=$740*(1+5%/365)^(18*365)

FV=$1,819.99

difference=$1,820.11-$1,819.99

difference=$0.12($0 to the nearest dollar)

Find out more about continuous compounding on:brainly.com/question/23136156

#SPJ1

8 0
1 year ago
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