<h3>Answer:
122 degrees</h3>
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Explanation:
Angle BAC can be shortened to "angle A" since the letter A is in the middle.
Angle BCA can be shortened to "angle C" for similar reasoning.
We're told that angles A and C are base angles. For any isosceles triangle, the base angles are congruent
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Let's use this fact to solve for x.
angle A = angle C
7x+1 = 5x+9
7x-5x = 9-1
2x = 8
x = 8/2
x = 4
Once we know what x is, we can find each base angle
- angle A = 7x+1 = 7*4+1 = 28+1 = 29
- angle C = 5x+9 = 5*4+9 = 20+9 = 29
Both angles A and C are 29 degrees each, so this confirms we have the correct x value.
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The last step is to use the fact that all three angles of a triangle add to 180 degrees. This will help us find angle B, which is the vertex angle.
A+B+C = 180
29+B+29 = 180
B+58 = 180
B = 180-58
B = 122
The vertex angle is 122 degrees.
So we can say either angle B = 122, or we could say angle ABC = 122
"angle ABC" is the same as "angle CBA".
Answer:
the answer to this question is A
Step-by-step explanation:
l*w*h
Answer:
X= -6, Y= 3
Step-by-step explanation:
1)
- X - Y = 3
- X - 3= Y
Y= - X - 3
2)
6X + 2Y = -30
3X + Y = -15
Y = -15 - 3X
3) Combine
- X- 3 = - 15 - 3X
- X = -15 - 3X +3
-X + 3X = - 12
2X = - 12
X= - 6
4)
- X-Y=3
-(-6) - Y = 3
-Y= 3-6
-Y= - 3
Y = 3
Answer: X= -6, Y= 3
{
6x + 2y = -30, 6(-6)+2(3)= -30
}
