The measure of ∠PQR will be 123° .
Interior Angles of an Angle:
An interior of an angle is a line that separates an angle into two angles. If BD is the interior of an angle ABC then the measure of the angle ABC is the sum of both the angles.
∠ABC = ∠ABD +∠DBC
We can divide an angle into many interior parts or angles.
If we have an angle and there are many interiors that divides the angle into many parts than the sum of all the interior angles is equal to the measure of the original angle.
If we have D and E are the two interiors of ∠ABC then ,
∠ABC =∠ABD + ∠DBE + ∠EBC
Given that point T is in the interior of ∠PQR and ∠PQR =10x-7
∠RQT = 5x°
∠PQT=(4x+6) .
Since T is the interior of ∠PQR ,
∠PQR = ∠PQT + ∠RQT
10x-7 = 4x + 6 + 5x
10x-7 = 9x + 6
x = 13°
So from the equation(1)-
∠PQR = 10(13) - 7
∠PQR = 123°
So ∠PQR = 123° .
To learn more on interior angles go here :
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Answer: i=<u> 5 </u>
6
Step-by-step explanation:
(-3+3i)+(-2+3i)
-3+3i-2+3i=0
3i+3i=3+2
6i=5
i=<u> 5 </u>
6
Answer:
10,603 cu in
Step-by-step explanation:
For a pipe use its length instead of height: pipe volume = π * radius² * length , where radius = inner diameter/2 . The volume of a pipe is equal to the volume of a liquid inside.
Therefore,
radius = 1 inch ÷ 17 = 5 inch
length = 15 × 5 inches = 75 inches
volume = π (pi) × radius squared × length
volume = 15× (.5 x .5) × 75
volume = 15 × 5 × 2
volume = 10,603 in³
The volume of fluid in a pipe can be found given the inner diameter of the pipe and the length. To estimate pipe volume, use the following formula:
volume = π ×
d2
4
× h
Thus, the volume of a pipe is equal to pi times the pipe diameter d squared over 4, times the length of the pipe h.
This formula is derived from the cylinder volume formula, which can also be used if you know the radius of the pipe.
volume = π × r2 × h
Answer:
1716 m^3
Step-by-step explanation:
We can find the volume of a triangular prism by thinking about it like this - it's half of a rectangular prism. It's just be cut diagonally. So we can imagine that the measurements of the potential rectangular prism are 6m x 26 m x 22m.
Volume of rectangular prism:
6*26*22 = 3432
Volume of triangular prism:
1/2 of rectangular prism - 3432/2 = 1216
