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2 years ago

Find the value of x.

Mathematics

1 answer:

zepelin [54]2 years ago

8 0

Answer:

Step-by-step explanation:

Using the Z theorem, the upper angle on the right = 60 degrees.

The angle which includes 3x is 120 because this is a parallelogram and consecutive angles must add to 180. So 180 - 60 = 120

The angle above the 3x is 120 - 3x

120 - 3x + 90 + 2x = 180 These angles make a straight line line. Combine.

210 - x = 180 Subtract 210 from both sides.

- x = 180 - 210 Combine

-x = - 30 Multiply both sides by - 1

x = 30

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What is the value of x and the length of segment DE?

Mandarinka [93]

Answer:

Part 1) $x=6.6\ units$

Part 2) $DE=16.2\ units$

Step-by-step explanation:

Part 1) Find the value of x

we know that

Triangles CDF and FDE are similar

therefore

The ratio of its corresponding sides is proportional and its corresponding angles are congruent

$CD/FD=FD/DE$

$\frac{5}{9}=\frac{9}{2x+3} \\ \\5*(2x+3)=9*9\\ \\10x+15=81\\ \\10x= 81-15\\ \\10x=66\\ \\ x=6.6\ units$

Part 2) Find the length of DE

$DE=2x+3$

substitute the value of x

$DE=2(6.6)+3=16.2\ units$

8 0

2 years ago

Read 2 more answers

Is 10 a solution of 2y+7(y-3)=60

slamgirl [31]

The answer to 2y+7(y-3)=60 is y=9

6 0

2 years ago

PLEASE HELP WILL MARK BRAINLIEST

bogdanovich [222]

Answer:

I believe the answer is 39.368, if we round that it makes it, 39.4

Step-by-step explanation:

5 0

2 years ago

I don’t really understand this

PtichkaEL [24]

Answer:

you put the -3 where the x's are

Step-by-step explanation:

f(x)= -2(-3)^2 - 3(-3) + 6

i think i hope thats right

3 0

3 years ago

Read 2 more answers

Pls answer asap 7 - 3 r = r - 4 ( 2 + r)

Marianna [84]

Answer:

no real answer

Step-by-step explanation:

distribute the -4 and combine all of the like terms on the left side = r-8-4r, then -8-3r

then we have 7-3r=-8-3r

from here, we can already tell that there's no real answer. this is because the two -3r will cancel, leaving no variable.

since 7 doesn't equal -8, there is no answer.

if, for example, the value on both sides of the equal sign were the same after the variable was eliminated, then your answer would be all real numbers

8 0

2 years ago