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lora16 [44]
3 years ago
13

What is the converse of the statement?

Mathematics
2 answers:
Pavlova-9 [17]3 years ago
8 0

Answer:  The correct option is

(B) If two angles are congruent, then the angles are right angles.

Step-by-step explanation:  We are given to select the converse of the following conditional statement :

"If two angles are right angles, then the angles are congruent".

We know that

if the conditional statement is "if p, then q", then the converse statement is given by

"If q, then p".

That is, to find the converse of a conditional statement, we switch the hypothesis and conclusion.

Therefore, the converse of the given statement is

"If two angles are congruent, then the angles are right angles".

Thus, option (B) is CORRECT.

swat323 years ago
6 0
If two angles are congruent, then the angles are right angles.
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Find the volume of the garden shed
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47.3 m³

Step-by-step explanation:

The garden shed is made up of a rectangular prism and a pyramid.

<h3><u>Volume of a rectangular prism</u></h3>

\begin{aligned}\textsf{Volume of a rectangular prism}&=\sf width \times length \times height\\&=4 \times 4 \times 2\\&=16 \times 2\\&=32\;\; \sf m^3\end{aligned}

<h3><u>Volume of a pyramid</u></h3>

<u />

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Calculate the perpendicular height of the pyramid using Pythagoras Theorem:

\begin{aligned}\implies a^2+b^2&=c^2\\2^2+h^2&=3.5^2\\h^2&=8.25\\h&=\sqrt{8.25}\;\; \sf m\end{aligned}

Therefore:

\begin{aligned}\textsf{Volume of a pyramid}&=\dfrac{\sf length \times width \times height}{3}\\\\&=\dfrac{\sf 4 \times 4 \times \sqrt{8.25}}{3}\\\\& = 15.31883372\;\; \sf m^3\end{aligned}

<h3><u>Volume of the garden shed</u></h3>

\begin{aligned}\implies \textsf{Volume of shed}&=\textsf{Volume of rectangular prism}+\textsf{Volume of pyramid}\\&=32+15.31883372\\& = 47.3\;\; \sf m^3\;(nearest\;tenth)\end{aligned}

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