7 is the value of x, and 64° is the measure of the unknown angle.
Triangle angles of 76°, (9x+1)°, and 40° are provided.
According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the interior angles in a triangle is always 180o, regardless of whether it is acute, obtuse, or right.
One of the most commonly applied properties in geometry is the triangle's angle sum property. Most often, the unknown angles are calculated using this attribute.
Now, the total of a triangle's three angles equals
76°+(9x+1)°+40°= 180°
⇒ 116+9x+1 = 180
⇒ 9x + 117 = 180
⇒ 9x = 63
⇒ x = 7
So, 9x+1=64°
As a result, x is equal to 7 and the unmeasured angle is 64°.
To learn more about the angle sum property of a triangle, refer to this link:
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Answer:
1
Step-by-step explanation:

Answer:
Radius=9
Diameter=18
Step-by-step explanation:
Answer:
The rate of change or slope m = -50
Step-by-step explanation:
The slope-intercept form of the line equation

where
- m is the rate of change or slope
Given that there is $500 in Holly's bank account.
Thus, the y-intercept b = 500
It is stated that she takes out $50 from her account each month but doesn't put money back in.
It means the rate of change or slope is decreasing.
Thus, the rate of change or slope m = -50
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We can also determine the line equation by substituting m = -50 and b = 500 in the slope-intercept form

y = -50x + 500
Here:
The slope m = -50
The y-intercept = 500
Answer:
x=24
Step-by-step explanation:
8x-13 = 7x+11; (because it's a rectangle)
8x - 7x = 11 + 13; (moving xs to one side, the rest to the other)
x = 24