<h3>
Answer: A) 76 degrees</h3>
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Explanation:
Angle PQT = 35 degrees is given. This inscribed angle subtends or cuts off minor arc PT. This is the shortest distance along the circle from P to T. Any other inscribed angle that cuts off this same arc will also be the same measure. Note how angle PRT is such an inscribed angle, so,
angle PRT = 35 degrees
which we'll use later.
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Focus on triangle ROS. Interior angle O is 180-82 = 98 degrees due to it being supplementary to the 82 degree angle shown.
Triangle ROS is isosceles with OR = OS being the two equal radii. The opposite base angles R and S are congruent angles. Call them x for now
(angle O) + (angle R) + (angle S) = 180
98+x+x = 180
2x+98 = 180
2x = 180-98
2x = 82
x = 82/2
x = 41
For triangle ROS, interior angle R is 41 degrees. Put another way,
angle ORS = 41 degrees
we'll use it below along with angle PRT
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angle PRS = (angle PRT) + (angle ORS)
angle PRS = (35) + (41)
angle PRS = 76 degrees
Answer:
a. 4(d+3e)
b. 6(3x+5y)
c. 7(3a+4y)
d. 8(3f+7g)
Step-by-step explanation:
In each case we find the greatest common factor of the numbers. That is the greatest number that goes into both the numbers. Then we factor it out in front and inside parentheses we divide each original term by the greatest common factor:
a. 4d+12e, GCF: 4
b. 18x+30y, GCF: 6
c. 21a+28y, GCF: 7
d. 24f+56g, GCF: 8
Area of triangle = 0.5*(base)*(height)
Area of triangle = 0.5*(5)*(12)
Area of triangle = (0.5*12)*5
Area of triangle = 6*5
Area of triangle = 30 square inches
Its best to use the base equation they give you.
Y=-a(f(x+h))+k
a and k, the outer ones, are for the vertical part. Being multiplication as a stretch and division as a compression. While the k is translated left or right depending on its sign.
The same is for within the parentheses but always the opposite. Positive is negative. Stretch is compression and so on.
The answer is A.
Answer:
- 116
Step-by-step explanation:
Given
28 - ( )²
= 28 - (12)²
= 28 - 144
= - 116