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3 years ago

If two angles are vertical angles, then they are congruent

Mathematics

1 answer:

Yuliya22 [10]3 years ago

3 0

Answer:

True

Step-by-step explanation:

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Point C is in the interior of ∠ABD, and ∠ABC ≅ ∠CBC. If m∠ABC = (5/8x + 18) and m∠CBD = (4x), what is m∠ABD?

mixer [17]

Answer:

$\angle ABD =42.4^{\circ}$

Step-by-step explanation:

We are given that Point C is in the interior of ∠ABD

We are also given that ∠ABC ≅ ∠CBD

Now ,

$\angle ABC = (\frac{5}{8}x + 18)\\\angle CBD = (4x)$

Since we are given that ∠ABC ≅ ∠CBD

So, $\frac{5}{8}x + 18=4x\\4x-\frac{5}{8}x=18\\\frac{32x-5x}{8}=18\\\frac{27x}{8}=18\\x=\frac{18 \times 8}{27}\\x=5.3$

$\angle CBD = (4x)=4(5.3)=21.2^{\circ}$

$\angle ABD = \angle CBD+\angle ABC=21.2+21.2=42.4^{\circ}$

Hence $\angle ABD =42.4^{\circ}$

8 0

3 years ago

Describe this number line and the numbers and fractions shown.

liraira [26]

Answer:

the line extends from -2 to 0 and then to +2

1 point is divided into 5 intervals

the whole line has 20 intervals in total

5 0

3 years ago

Read 2 more answers

Creamy Brand ice cream costs $5.50 per gallon, How much would it cost you to buy 2.25 gallons of ice cream for a party if the to

yKpoI14uk [10]

Answer:

$13.00

Step-by-step explanation:

so you multiply $5.50 by 2.25 gallons

5.50

x 2.25 =

2750+1100+1100= 12.3750

then you round it off which will make your answer $12.38

then to find out how much it will be with the taxes you add $12.38 and .072 to it to make the total for the ice cream $13.00

4 0

4 years ago

Side and angle properties of a parallelogram (level 2). NO LINKS!!!

gogolik [260]

Answer:

Hello,

If we look at the solution we can calculate this very easily

A is 40

B is 121

C=y

D=x

THe answer

x=46

y=13

z= 116

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

BEGETA777777777777777777777777777777777777777777

notka56 [123]

Answer:

yes

Step-by-step explanation:

3 0

3 years ago