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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.
If 7sin 2 ?+3cos 2 ? = 4, show that tan? = 1/√3 . Ans: If 7 Sin 2 ? + 3 Cos 2 ? = 4 S.T. Tan? 1/√3 7 Sin 2 ? + 3 Cos 2 ? = 4 (Sin 2 ? + Cos 2 ?)
Michael scored 260 points during his junior year on the school basketball team. He scored 20% more points during his senior year. How many points did he score during his senior yea
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tom has 150 feet of fencing to enclose a rectangular garden. if the length is to be 5 feet less than three the width, find the area of the garden
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