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Lemur [1.5K]
2 years ago
8

If m∠ABC=7x-2 and ∠CDE=5x+16 are congruent, find m∠ABC?

Mathematics
2 answers:
aliina [53]2 years ago
6 0

Answer: m∠ABC = 61°

Step-by-step explanation: Since angles are congruent, make the equation

7x-2 = 5x + 16

7x-5x = 16 +2

2x = 19

x = 9

Substitute 9 for x

7(9) -2 = m∠ABC .    and      5(9) + 16 = m∠CDE

63-2 = 61° = m∠ABC             45 + 16 = 61   True!

max2010maxim [7]2 years ago
3 0

Answer:

idk im dumb i just need points

Step-by-step explanation:

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209 yan ang sagot brainliest po

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2 years ago
On a certain hot summer's day, 321 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for a
Paul [167]

Answer:

31 children and 290 adults

Step-by-step explanation:

Let a = number of adults and c = number of children.

a + c = 321

2a + 1.75c = 634.25

Multiply both sides of the the first equation by -2 and add it to the second equation.

         -2a -     2c = -642

(+)       2a + 1.75c = 634.25

--------------------------------------

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Substitute 31 for c.

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Subtract 31 from both sides.

a = 290

Answer: 31 children and 290 adults

5 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B5%7D%2B%5Cfrac%7B3x%7D%7B15%7D%3D%5Cfrac%7B2x%7D%7B3%7D%20%7D%20" id="TexF
Bezzdna [24]
Multiply all terms by 15
3x+3x= 10x+30

Combine like terms
6x=10x+30

Subtract 10x from both sides
-4x=30

Divide both sides by -4
x= -7.5

Final answer: -7.5
4 0
3 years ago
Which expressions have a value of 1/2?
tangare [24]
A) 8/16 = 1/2; YES

B) 2^-1 = 1/2^1 = 1/2; YES

C) 2^0 = 1; NO

D) 2^1 = 2; NO

Hope this helped!
7 0
3 years ago
Read 2 more answers
The prime factorization of 396 is _____ .
Elena L [17]

Answer:

396 : 2 * 2 * 3 * 3 * 11

Step-by-step explanation:

using long division of prime factors, you will end up with the following:

396 : 2 * 2 * 3 * 3 * 11

4 0
3 years ago
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