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matrenka [14]
3 years ago
10

the measure of an exterior angle of triangle is 84 degrees. the measure of one of its remote interior angles is 22 degrees. what

are the measures of the other two interior angles of the triangle?
Mathematics
1 answer:
Ksju [112]3 years ago
3 0

Answer:

62° and 96°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 remote interior angles.

Let x be the other remote interior angle, then

22 + x = 84 ( subtract 22 from both sides )

x = 62

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 known angles from 180 for third angle

third angle = 180 - (62 + 22) = 180 - 84 = 96

The other 2 interior angles are 62° and 96°

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Your help would be appreciated
Schach [20]

Answer:

I think its the 1st one, but I'm not sure

8 0
3 years ago
K= 35.50x + 42<br> k=991x + 27
SSSSS [86.1K]

Answer:

k=42.5573 and x=0.015699

Step-by-step explanation:

Step: Solve k=35.5x+42for k:

k=35.5x+42

Step: Substitute 35.5x+42 for k in k=991x+27:

k=991x+27

35.5x+42=991x+27

35.5x+42+−991x=991x+27+−991x(Add -991x to both sides)

−955.5x+42=27

−955.5x+42+−42=27+−42(Add -42 to both sides)

−955.5x=−15

−955.5x

−955.5

=

−15

−955.5

(Divide both sides by -955.5)

x=0.015699

Step: Substitute0.015699 for x in k=35.5x+42:

k=35.5x+42

k=(35.5)(0.015699)+42

k=42.5573(Simplify both sides of the equation)

Hope this helps!

:)

6 0
3 years ago
If you divide me by 42, the<br> quotient is 56. What number<br> am I?
Tasya [4]

2352

hope it helps...!!!

3 0
2 years ago
Read 2 more answers
Can someone help I’m not good with word problems
pickupchik [31]

Answer:

I agree that this question can be confusing:

Apparently point A and point B must be on the same straight line (measured from the light house or the question would be nonsensical)

tan 13 = H / DA      where H is height of lighthouse

tan 8 = H / DB       tangent measured from point B

tan 13 / tan 8 = DB / DA

DB = .2309 / .1405 * 1279 = 2101 ft

DB - DA = 2101 - 1279 = 822.0 ft

3 0
3 years ago
The square of a number is 15 more than 2 times the number
UkoKoshka [18]

x^2 = 2x + 15

x^2 -2x - 15 = 0

Factor:

(x-5)(x+3) = 0

x = 5 or x = -3

3 0
3 years ago
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