Since <A is congruent to <C , so triangle ABC is an isoceles triangle and side AB is congruent to BC.
AB = BC
Therefore, we can set up an equation as following:
10x - 7 = 2x + 33
10x - 7 - 2x = 2x + 33 -2x Subtracting 2x from each sides.
8x -7 = 33
8x - 7 + 7 = 33 + 7 Add 7 to each sides.
8x = 40
Divide each sides by 40.
So, x = 5
Answer:
A
Step-by-step explanation:
Solve the inequality by simplifying the parenthesis with the distributive property. Then use inverse operations to isolate x.
1/6 (3-2x)<1/3x
1/6*3 - 1/6*2x < 1/3x
3/6 - 2/6x < 1/3x
1/2 - 1/3x < 1/3 x
1/2 < 1/3x + 1/3x
1/2 < 2/3x
1/2 * 3/2 < x
3/4 < x or x>3/4
The angles must add up to 360 degrees, so we can set the sum of the interior angles equal to 360 and solve for x.
106 + 94 + 135 + x + (x + 5) = 360
Combine like terms:
340 + 2x = 360
2x = 20
x = 10
A number that has exactly3 factors is 24
