Answer: The answer is -x^2 + 12x + 5
Answer:
d)
Step-by-step explanation:
<u><em>Explanation</em></u>
Given expression
= 
By using
(ab)ⁿ = aⁿbⁿ

= 
After simplification , we get


Answer: the third angle is 106 degrees.
The base angles are 37 degrees each.
Step-by-step explanation:
In an isosceles triangle, the base angles are equal.
Let x represent the measure of each of the base angles.
The third angle in an isosceles triangle is 32 more than 2 times as large as each of the two base angles. It means that the measure of the third angle would be
(2x + 32) degrees
The sum of the angles inna triangle is 180 degrees. It means that
x + x + 2x + 32 = 180
4x = 180 - 32
4x = 148
x = 37
The third angle is
2x = 32 = (2 × 37) + 32
= 74 + 32 = 106
Answer:
She swims for 3 hours each morning.
Step-by-step explanation:
To determine the number of hours that Kenny swims in the morning, it is necessary to perform the following equation, taking into account that he swims 5 days a week for a total of 30 hours a week, and that in the afternoon he swims for 3 hours:
X + 3 x 5 = 30
X + 3 = 30/5
X = 6 - 3
X = 3
Therefore, Kenny swims for 3 hours in the morning.
Answer:
Vertical angles
Step-by-step explanation:
The diagram shows two straight line intersecting to form vertical angles. One of such pair of vertical angles formed is <1 and <2.
Vertical angles are congruent to each other. Therefore, the reason why <1 ≅ <2 is because they are vertical angles or vertical angles pair.