Answer:
x = 1
Step-by-step explanation:
7x - 3 = 4x
-3 = 4x - 7x
-3 = -3x
x = 1
Step-by-step explanation:
<u>Statement Reason </u>
BA and BC opposite rays Given
AC is a straight line Definition of opposite rays
∠ABD + ∠CBD = ∠ABC Angle addition postulate
∠ABD + ∠CBD = 180° Definition of linear pair
m∠ABD = 5x + 7 Given
m∠CBD = 9x + 19 Given
5x + 7 + 9x + 19 = 180 Substitution property of equality
14x = 180 - 26 Subtraction property of equality
x = 154/14 Division property of equality
x = 11 Proved
x = age of Alex
4x + x = 70
5x = 70
x = 14 = Alex's age
4x = 56 = Alex's uncle's age
Answer:
<h2>37 ft</h2>
Step-by-step explanation:
Use the Pythagorean theorem:
We have
Substitute:
