(a) the given triangle is a isosceles triangle, therefore the two leg sides will be congruent, as well as the two base angles. It is given that one of the base angles ∠XYW is 70°, therefore, due to the law of a isosceles triangle, the measurement of ∠XWY is also 70°. Remember, a triangle's interior angles add up to 180°, so:
180 - (70 + 70) = 180 - 140 = 40
40° is your answer.
m∠X = 40°
(b) All sides are congruent, making it a equilateral triangle. If it is a equilateral triangle, then all the angles also have the same measurement. The total of the interior angle's measurement is 180°. Divide by the amount of angles, 3:
180/3 = 60
60° is your answer.
m∠V = 60°
~
Answer:
24m3−168m2+225m+30
Step-by-step explanation:
(3m+−6)(8m2+−40m+−5)
=(3m)(8m2)+(3m)(−40m)+(3m)(−5)+(−6)(8m2)+(−6)(−40m)+(−6)(−5)
=24m3−120m2−15m−48m2+240m+30
=24m3−168m2+225m+30
Answer:
Option B is the correct answer.
They have the same measurements but they are turned different ways
Answer:
(p + 6)(p + 2)
Step-by-step explanation:
I believe you meant p^2 + 8p + 12 = 0, in which " ^ " indicates exponentiation.
Note that 12 = 2*6, and that these two factors, 2 and 6, add up to 8. Thus,
p^2 + 8p + 12 = 0 = (p + 6)(p + 2)
