Answer:
x° = 149°
Step-by-step explanation:
According to the <u>Triangle Sum Theorem</u>, the sum of the measures of the angles in every triangle is 180°. Since we are given two angles with measures of m < 86° and m < 63°, then the third angle must be:
m < 86° + m < 63° + m < (angle 3) = 180°
149° + m < ? = 180°
Subtract 149° from both sides to solve for m < (angle 3)
149° - 149° + m < (angle 3) = 180° - 149°
m < ? = 31°
Therefore, the measure of the third angle is 31°.
To find x°, we can reference the <u>Triangle Exterior Angle Postulate</u>, which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
In other words, the measure of x° = m < 86° + m < 63°
x° = 149°
By the way, m< (angle 3) and x° are also supplementary angles whose sum equal 180°:
x° + m < (angle 3) = 180°
149° + 31° = 180°
Answer:
B)-4
Step-by-step explanation:
y=mx+c
sub in a point and gradient/slope to get c
-7=3(-1)+c
-7=-3+c
-7+3=c
c=-4
y=3x-4
if u looking for the y intercept make x=0
y=3(0)-4
y=-4
Answer:
C
Step-by-step explanation:
Line AC is equal to line DF.
we are given

Since, every value is in ft
so, we can take out ft

now, we can add them
and we get
............Answer
<span>3c - 2cd - 8c + 7d
= -5c </span> - 2cd + 7d
hope it helps