The measure of angle (m ∠A) is 136°
<h3>Vertical angles theorem</h3>
From the question, we are to find the measure of angle A
From the given information, we have that
∠A and ∠B are vertical angles
Thus
∠A = ∠B
and
Also, from the given information,
m ∠A=(2x+26)°
and
m ∠B= (3x−29)°
∴ (2x+26)° = (3x−29)°
Now, solve for x
2x + 26 = 3x - 29
26 + 29 = 3x - 2x
55 = x
∴ x = 55
But measure of angle A is given by
m ∠A=(2x+26)°
Put the value of x into the equation,
m ∠A=(2(55)+26)°
m ∠A=(110+26)°
m ∠A = 136°
Hence, the measure of angle (m ∠A) is 136°
Learn more on Vertical angle theorem here: brainly.com/question/24839702
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Answer:
The average rate of change in that space would be 12.
Step-by-step explanation:
To find this, use the two ordered pairs (-1, 3) and (1, 27) in the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (27 - 3)/(1 - -1)
m = 24/2
m = 12
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Answer:Combine like terms
3
+
5
−
=
9
−
7
+
1
2
{\color{#c92786}{3x}}+5{\color{#c92786}{-x}}=9x-7+12
3x+5−x=9x−7+12
2
+
5
=
9
−
7
+
1
2
{\color{#c92786}{2x}}+5=9x-7+12
2x+5=9x−7+12
2
Add the numbers
3
Subtract the same term from both sides of the equation
4
Simplify
5
Subtract the same term from both sides of the equation
6
Simplify
7
Divide both sides of the equation by the same term
8
Simplify
HOPE THIS HELPS :)
Step-by-step explanation: