<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".
The answer is a² + 6. "Sum of a squared and 6" means you square a value and then add 6 to it.
Answer:
Step-by-step explanation:
Check attachment for solution
<u>Answer:</u>

<u>Explanation:</u>
let the number be x, now we are given that four times the cube of a number which means four multiplied by the cube of number
i.e 4 multiplied by
is less than the difference of 40 and the number x i.e 40 - x
x is for sure less than 40 as
is less than the difference between 40 and x so if we write x - 40 then we will obtain negative value which will be greater than
.
So, the inequality obtained can be written as 