In the diagram, what is mAngleVSR?
1 answer:
The mAngleVSR m Angle VSR is mathematically given as
= 80°
This is further explained below.
<h3>What is mAngleVSR?</h3>Generally, Draw two lines: one that connects the points R, S, and U, and another that connects the points V, S, and T. (see attached diagram). At point S, these lines come together to create four angles, which are denoted by the letters RSV, VSU, UST, and TSR respectively.
The angles VSU and RST are both considered to be vertical angles, as are the angles RSV and UST. Vertical angles are equivalent, therefore
m∠VSU = m∠RST = 100°
m∠RSV = m∠UST
In conclusion, Angles RSV and VSU are considered supplementary angles since their sum is equal to 180 degrees. Som
m∠RSV = 180° - m∠VSU =180° - 100° = 80°
Angle RSV is the same as angle VSR (the name of the angle may be read either from the right to the left or from the left to the right).
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The statements that are true about the pyramid are
- The base of the pyramid is a square with four sides, each measuring 756 feet.
- The slant height of the pyramid is 612 feet.
- All four triangular faces are congruent.
- The pyramid has four lateral faces.
From the question, we are to determine the statements that are true about the pyramid
The diagram shows a square pyramid,
The length of a side of its base is 756 ft
and
The height / altitude of a triangular face is 612 ft
Since the pyramid is a square pyramid,
Then, the base must be a square with each side measuring 756 feet
∴ The first statement is true
Since the height of a triangular face is 612 ft,
Then,
∴ The slant height of the pyramid is 612 feet
NOTE: Slant height of a pyramid is the altitude of the triangle comprising a lateral face
Thus, the second statement is true
Since the triangular faces each have a base of 756ft and a height of 612 ft,
Then,
All four triangular faces are congruent
∴ The fourth statement is true
NOTE: Lateral sides of a solid are the faces on the <u>sides</u> of the shape
The pyramid has four lateral faces which are each a triangle
∴ The last statement is true
Hence, the statements that are true about the pyramid are
- The base of the pyramid is a square with four sides, each measuring 756 feet.
- The slant height of the pyramid is 612 feet.
- All four triangular faces are congruent.
- The pyramid has four lateral faces.
Learn more on Pyramid here: brainly.com/question/10042135
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