Answer: the third angle is 106 degrees.
The base angles are 37 degrees each.
Step-by-step explanation:
In an isosceles triangle, the base angles are equal.
Let x represent the measure of each of the base angles.
The third angle in an isosceles triangle is 32 more than 2 times as large as each of the two base angles. It means that the measure of the third angle would be
(2x + 32) degrees
The sum of the angles inna triangle is 180 degrees. It means that
x + x + 2x + 32 = 180
4x = 180 - 32
4x = 148
x = 37
The third angle is
2x = 32 = (2 × 37) + 32
= 74 + 32 = 106
Answer: 6n + 2 = 8
Step-by-step explanation:
2 more means add but due to order of operations, you do multiplication first. a number is represented by n. 6n means 6 x n. Then add 2 to get 8. You can sub in 1 for n and it will be solved.
4(x+x+7) x=1
4(1+1+7)
4+4+28 = 36
(-2x+7-4) x=2
-2(2)+7-4
-4+7-4 = -1
Answer:
Step-by-step explanation:
Pythagorean Theorem: 
BC= x
AB= 10 cm
AC= 8 cm
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Now, Substitute
Square root x^2= x, √(36)=6
Therefore, the length of x = 6
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9514 1404 393
Answer:
x
Step-by-step explanation:
There is already an expression given for x, so that is the easiest variable to substitute for.
Substituting for x using the second equation, you have ...
-3(-2y+14) +y = -14
6y -42 +y = -14
7y = 28
y = 4
x = -2(4) +14 = 6
The solution is (x, y) = (6, 4).
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Substitution for x is the easiest.
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The first equation could be rearranged to give an expression for y:
y = 3x -14
Then that can be used to substitute for y in the second equation. My lazy brain judges that to be more work.
