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:
-539.25
Step-by-step explanation:
(w^2x−3)÷10⋅z
w=−9, x = 2.7, and z=−25
((-9)^2*2.7−3)÷10⋅(-25)
Parentheses first
The exponent in the parentheses
(81*2.7−3)÷10⋅(-25)
Then multiply
(218.7−3)÷10⋅(-25)
Then subtract
(215.7)÷10⋅(-25)
Now multiply and divide from left to right
21.57*(-25)
-539.25
Answer:
Step-by-step explanation:
By the trapezoid midsegment theorem,
2x = (x-6) + (2x-8)
2x = x - 6 + 2x - 8
2x = 3x - 14
x = 14
So we know AD = 8, EF = 14, and BC = 20
<h3>
Answer: Negative</h3>
Reason:
The template 
applies to any quadratic to graph out a parabola. The coefficient for the x^2 term is 'a', and it solely determines whether the parabola opens upward or downward.
If 'a' is negative, then the parabola opens downward. The way to remember this is that 'a' being negative forms a negative frown.
On the other hand if 'a' is positive, then it forms a positive smile, and the parabola opens upward.
In this case, the points are fairly close to a parabola opening downward. This means 'a' is negative and a < 0.
