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lana [24]
2 years ago
14

Interior and Exterior Triangle Angles

Mathematics
1 answer:
Luden [163]2 years ago
6 0

Sum of two interiors=exterior

\\ \rm\bull\rightarrowtail 2x-3+2x+15=7x-18

\\ \rm\bull\rightarrowtail 4x+12=7x-18

\\ \rm\bull\rightarrowtail 3x=30

\\ \rm\bull\rightarrowtail x=10

  • m<GHI=2(10)-3=17
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Hey friend please solve this question
Bas_tet [7]

yes and yes.

you're told ∠A=∠B. this means angle A and B are equal. so the value you get for cos A will be the same as the value you'll get for cos B

also, the value you get for tan A will be the same as the value you'll get for tan B


if that doesn't make sense you could also draw the triangle and solve for A and B.

you're told it's a right angled triangle meaning one of the angles = 90

you're told that C is that angle so if C is a right angle, angle C=90

the sum of all the angles in a triangle = 180

so angle A+ angle B + angle C = 180

angle A+ angle B + 90 = 180

angle A+ angle B = 180 - 90

angle A+ angle B = 90

  • A and B could be any value but you're told angle A = angle B

        angle A+ angle B = 90

        you can divide 90 by 2 because A and B are equal. that will give you 45 for A and 45 for B

or

  • angle A+ angle B = 90

        since angle A = angle B,

1. you can substitute angle A with angle B like this

  angle B+ angle B = 90

  2 angle B = 90

  angle B = 90/2

  angle B=45; ∴ angle A is also 45 ( because angle A= angle B)

2. or you could substitute angle B with angle A

   angle A+ angle A = 90

2 angle A = 90

  angle A = 90/2

  angle A =45; ∴ angle B is also 45 ( because angle A= angle B)


Now you know what A and B are,

sin A = sin 45; sin B = sin 45

sin 45 = sin 45

tan A = tan 45; tan B = tan 45

tan 45 = tan 45

7 0
3 years ago
Last year, sales at a book store increased from $5,000 to $10,000. This year, sales decreased to $5,000 from $10,000. What perce
suter [353]

Sales increased 50% last year, from $5,000 to $10,000. When sales dropped from $10,000 to $5,000 this year, sales decreased 50%

5 0
3 years ago
Write a function (equation) that can be used to find the relationship between x and y.
Andreas93 [3]
I think it would be y = -3x +2
8 0
3 years ago
Read 2 more answers
HELP QUICKY <br><br> Which statement is true about the end behavior of the function?
satela [25.4K]

As the x-values go to positive infinity, the function's values go to positive infinity.

7 0
3 years ago
Read 2 more answers
I need help with this one I try doing it and I don’t think I’m getting it
skad [1K]

Answer:

C) P=56cm^2

Step-by-step explanation:

P=(a*h)/2 a=14, h=8

P=(14*8)/2

P=112/2

P=56

6 0
3 years ago
Read 2 more answers
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