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Using the expample provided below, if m∠ABE = 4x + 5 and m∠CBD = 7x - 10, Determine the measure of ∠ABE.
a. 155°
b. 73°
c. 107°
d. 25°
d. ∠CBD and ∠ABE are vertical angles that are same in measurement. Solve the following equation for x: 4x + 5 = 7x - 10. Subtract 4x from both sides; 5 = 3x - 10. include 10 to both sides; 15 = 3x. Divide both sides by 3; 5 = x or x = 5. To solve for ∠ABE substitute x = 5 into the expres- sion 4x + 5 and simplify; 4(5) + 5 same 20 + 5 or 25. ∠ABE equals 25°. If you select a, you solved for ∠ABC or ∠EBD. If you select b, you considered the angles were supplementary and set the sum of the two angles same to 180. If you select c, it was the same error as choice b.
Equivalent or Equal sets Two sets C and D are said to be equal whether every member of set C belongs to D and every member of set D belongs also to C.
The first year of the Islamic calendar marks the following event: The birth of Muhammad The Qu'ran is assembled into a single sacred text The division of the Sunnis and the Shiites
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236+2344+346=
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