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amid [387]
2 years ago
10

M∥n, m∠1 = 50°, m∠2 = 48°, and line s bisects ∠ABC. What is m∠3?

Mathematics
1 answer:
slavikrds [6]2 years ago
8 0
<h3>Answer:</h3>

49°

<h3>Step-by-step explanation:</h3>

∠DEF = ∠1 +∠2 = 50° +48° = 98°

∠ABC = ∠DEF because they are alternate exterior angles, hence congruent.

∠3 = ∠4 because they are vertical angles.

∠3 = (1/2)∠ABC = (1/2)·98° . . . . . ∠4 is half of ∠ABC

∠3 = 49°

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Find the distance between the points (-4,5), (-12,5)
posledela

Answer:

d = 8

Step-by-step explanation:

For:

(X1, Y1) = (-4, 5)

(X2, Y2) = (-12, 5)

Distance Equation Solution:

d=(−12−(−4))2+(5−5)2−−−−−−−−−−−−−−−−−−−−√

d=(−8)2+(0)2−−−−−−−−−−√

d=64+0−−−−−√

d=6–√4

d=8

Therefore, the distance between (-4,5), (-12,5) is 8.

5 0
2 years ago
2x+6=7x-14<br>algebraic form ​
Alchen [17]

Answer: If you want the answer then it is x=4

Step-by-step explanation:

Subtract 6 from both sides

2x=7x-20

subtract 7x on both sides

-5x=-20

Lastly divide both sides by the same term(-5)

x=4

Hope this helps and a brainliest would be appreciated

7 0
3 years ago
PLEASE HELP!!! ( I'll name you brainliest if you get it right)
aksik [14]

Answer:

10(5+4)^/4

10(9)^/4

90^/4

=2025

3 0
3 years ago
The total amount paid on a 35 year loan was $98,000. If the interest rate was 4.1% and compounded monthly, what was the principa
Levart [38]

Answer:

The principal amount was $23,393.45

Step-by-step explanation:

The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%

We will calculate Principal amount by this formula

A=P(1+\frac{r}{n})^{nt}

Where A = amount (98,000)

           P = Principal amount (P)

           r = rate of interest 4.1% (0.041)

           n = number of compounding interest monthly (12)

           t = time (35 years)

98,000=P(1+\frac{0.041}{12})^{(12)(35)}

98,000=P(1+0.003416)^{(420)}

98,000=P(1.003416)^{(420)}

98,000 = P(4.189386)

= 4.189386P = 98,000

P = \frac{98000}{4.189386}

P = 23,392.4494 ≈ $23,392.45

The principal amount was $23,393.45

5 0
3 years ago
Read 2 more answers
Fran has 18 paperback books and 24 hardcover books. What is the ratio of hardcover to paperback books?
kondaur [170]
The correct answer is 3:4
6 0
2 years ago
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