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Alja [10]
2 years ago
10

Lines AD and BC are parallel. Find the measures

Mathematics
1 answer:
nlexa [21]2 years ago
4 0

Answer:

45, 30, & 105

Step-by-step explanation:

<B=<D by alt. interior <s

180-150=30, so <C=30, <C=<A by alt interior <s

30+45=75

180-75=105

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My question is in the picture pls help
eduard
Your answer is accute
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3 years ago
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For the right triangle shown, the lengths of two sides are given. Find the third side. Leave your answer in simplified, radical
sleet_krkn [62]

Answer: c=4\sqrt{2}

Step-by-step explanation:

For this exercise you need to apply the Pythagorean Theorem. This is:

h^2=l^2+m^2

Where "h" is the hypotenuse of the Right triangle and "l" and "m" are the legs.

In this case, you can identify that:

h=c\\\\l=a=4\\\\m=b=4

Knowing these values, you can substitute them into  h^2=l^2+m^2:

c^2=4^2+4^2

Now you must solve for "c":

c=\sqrt{4^2+4^2}

Evaluating, you get:

c=\sqrt{16+16}\\\\c=\sqrt{32}

To simplify the result:

- Descompose 32 into its prime factors:

32=2*2*2*2*2=2^5

- By the Product of powers property, you know that:

2^5=2^4*2

- Make the substitution:

c=\sqrt{2^4*2}

- Finally, knowing that \sqrt[n]{a^n}=a, you get:

c=2^2\sqrt{2}\\\\c=4\sqrt{2}

6 0
3 years ago
Age of Peter + age of Pol = 39
GalinKa [24]

Answer:

PETER 18

POL 21

MARY 26

Step-by-step explanation:

I dont know if I did in the right way...

1st: Take any number for peter's or pol's age

I took 18 for peter, RANDOMLY

2nd: Subtract the age from the total to get pol's age

39-18=21 Hence, pols age is 21

3rd: Subtract peter's age from the total to get marys age

47-18=26 Hence, Marys age is 26

4th: Add the age of pol and mary

aaand, you get 47

Done!

Hope it helps!!!

6 0
3 years ago
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What is the discounted price of an
motikmotik

Answer:

The answer is $55.50

Step-by-step explanation:

$74-25%

8 0
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At a fundraiser, 8000 tickets are sold at $10 each for four prizes: a new car worth
MrRa [10]

Answer:

11000

Step-by-step explanation:

7 0
3 years ago
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