Answer:
= 130°
Step-by-step explanation:
Angles subtended at the center by the arcs
and
are ∠HPG and ∠EPF.
Since these angles are the vertical angles both will be equal.
m∠HPG ≅ m∠EPF
3x - 10 = 2x + 10
3x - 2x = 10 + 10
x = 20
Therefore,
= 50°
Similarly
= 50°
In the same way angles subtended at the center will be equal.
m∠EPH ≅ m∠FPG
and 
Since
°



Therefore, measure of arc EH = 130°
Answer:
16
Step-by-step explanation:
First, substitute the values of the variables into the expression:
3(y + 4) - (x - 1)
3(2 + 4) - (3 - 1)
Now, simplify both parentheses:
3(6) - 2
18 - 2
Finally, simplify:
16
It would be C because |-6| + |4| is basically 6+4 because the lines make the number positive. 6+4 is 10, which is the x value for the point. That 4 unites us the distance between the points.
A <em>circle</em> is a figure <u>bounded</u> by a <em>curved</em> side which is referred to as <em>circumference</em>. Thus the area of the <u>shaded</u> region is option D. 81.65.
A <em>circle</em> is a figure<u> bounded</u> by a <em>curved</em> side which is referred to as <u>circumference</u>. Some of its <u>parts</u> are radius, diameter, sector, arc, etc.
The area of a <u>circle</u> can be determined by the given <em>expression:</em>
Area = π
where r is the <u>radius</u> of the circle and π = 
So, the area of the <u>shaded</u> region can be determined as:
Area of the <em>shaded</em> region = <em>area </em>of the <u>larger</u> circle - <em>area</em> of the <u>smaller</u> circle
Area of the<em> shaded </em>region = π
- π
= π (46.24 - 20.25)
=
x 25.99
= 
<u>Area</u> of the <em>shaded</em> region = 81.683
Thus the<u> appropriate</u> answer to the question is option D. 81.65.
For more clarifications on the area of a circle, visit: brainly.com/question/3747803
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Answer:
<1=63°
<2=49°
<3=87°
<4=44°
Step-by-step explanation:
<1=180-68-49=63°
<2=49°
<3=180-93=87°
<4=180-49-87=44°