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Natasha_Volkova [10]
2 years ago
11

Find the value of x? Please help?

Mathematics
1 answer:
quester [9]2 years ago
6 0

Answer:

x=7

Step-by-step explanation:

x+5=3x-9

<u>    +9    +9</u>

x+14=3x

<u>-x       -x</u>

<u>14=2x (divide by 2)</u>

   2

7=x

Check answer:

<u>7+</u>5= 12 (substitue x)

3(7)-9= 12 (substitute x)

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Isosceles triangle has an angle that measures 80°. which other angles could be in that isosceles triangle?-
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There are two probabilities of the solution. First if 80° acts as one of the leg angles, second if 80° acts as the vertex angle.

FIRST PROBABILITY
If 80° is one of the leg angles, then the other angle would be 80° too, because iscosceles has two congruent angles on the leg.

Find the vertex angle
the sum of interior angles in a triangle is 180°
vertex angle + angle on the leg + angle on the leg = 180°
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vertex angle + 160° = 180°
vertex angle = 180° - 160°
vertex angle = 20°
The interior angles are 80°,80°,20°


SECOND PROBABILITY
If 80° is the vertex angle, we should find the value of the two leg angles. The two legs has congruent angles.

Find the leg angles
the sum of interior angles in a triangle is 180°
leg angle + leg angle + vertex angle = 180°
2 × leg angle + vertex angle = 180°
2 × leg angle + 80° = 180°
2 × leg angle = 180° - 80°
2 × leg angle = 100°
leg angle = 50°
The interior angles are 80°, 50°, 50°
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