Answer:
j= -4,6
Step-by-step explanation:
j^2 -2j -24 =0
Factor
What 2 numbers multiply to -24 and add to -2
-6*4 = -24
-6+4 = -2
(j-6) (j+4) =0
Using the zero product property
j-6 =0 j+4 =0
j =6 j=-4
False. An angle bisector is a bisector starting at the vertex and cutting an angle in half. It could be obtuse angles, but not always. It is usually two smaller angles. It is a ray, though.
I hope this helps!
~kaikers
Answer:
4.7 yd
Step-by-step explanation:
The horizontal lines in the diagram are parallel, so the angle of depression at D and the angle of elevation at F are congruent. So, you have a right triangle with the measure of one acute angle (F) and the length of the adjacent side (EF = 10 yd). You are being asked to find the opposite side (DE).
The mnemonic SOH CAH TOA reminds you of the necessary relation:
Tan = Opposite/Adjacent
Filling in the given information, you have ...
tan(25°) = DE/(10 yd)
Multiplying by 10 yd gives ...
(10 yd)tan(25°) = DE ≈ 4.663 yd ≈ 4.7 yd
