To the nearest hundred thousandths: 200,000
To the nearest ten-thousandths: 210,000
To the nearest thousands: 206,000
The measure of angle ∠EGF is 65°. And the measure of the angle ∠CGE is 115°.
<h3>What is the triangle?</h3>
A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Triangle GEF is shown with its exterior angles.
Line GF extends through point B.
Line FE extends through point A.
Line EG extends through point C.
Angles ∠FEG and ∠EGF are congruent.
∠FEG = ∠EGF = x
Sides EF and GF are congruent.
Angle ∠EFG is 50° degrees.
∠EFG + ∠FGE + ∠GEF = 180°
50° + x + x = 180°
2x = 130°
x = 65°
∠FEG = ∠EGF = 65°
Then angle ∠CGF will be
∠CGF + ∠FGE = 180°
∠CGF + 65° = 180°
∠CGF = 115°
More about the triangle link is given below.
brainly.com/question/25813512
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The measurements are in inches but the answer needs to be in feet, so we'll convert the numbers to feet first.
6"=1/2 ft
2"=1/6 ft
3"=1/4 ft
V=l×w×h
V=1/2*1/6*1/4
V=1/48 cubic ft
Step-by-step explanation:
-5(p + 3/5 ) = -4
-5p - 3/5 *5 = -4
-5p - 3 = - 4
-5p = -4 +3
-5p = -1
therefore p = 1/ 5
The equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2
<h3>How to determine the functions?</h3>
A quadratic function is represented as:
y = a(x - h)^2 + k
<u>Question #6</u>
The vertex of the graph is
(h, k) = (-1, 2)
So, we have:
y = a(x + 1)^2 + 2
The graph pass through the f(0) = -2
So, we have:
-2 = a(0 + 1)^2 + 2
Evaluate the like terms
a = -4
Substitute a = -4 in y = a(x + 1)^2 + 2
y = -4(x + 1)^2 + 2
<u>Question #7</u>
The vertex of the graph is
(h, k) = (2, 1)
So, we have:
y = a(x - 2)^2 + 1
The graph pass through (1, 3)
So, we have:
3 = a(1 - 2)^2 + 1
Evaluate the like terms
a = 2
Substitute a = 2 in y = a(x - 2)^2 + 1
y = 2(x - 2)^2 + 1
<u>Question #8</u>
The vertex of the graph is
(h, k) = (1, -2)
So, we have:
y = a(x - 1)^2 - 2
The graph pass through (0, -3)
So, we have:
-3 = a(0 - 1)^2 - 2
Evaluate the like terms
a = -1
Substitute a = -1 in y = a(x - 1)^2 - 2
y = -(x - 1)^2 - 2
Hence, the equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2
Read more about parabola at:
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