Becky says that lines c and d are parallel.

Mathematics

1 answer:

katen-ka-za [31]3 years ago

5 0

A) angle 1 = angle 2 - Incorrect

These angles are only on one of the following lines, which means that they do not show that lines C and D are parallel. In addition, angles 1 and 2 are supplementary, so they could not be equal.

B) angle 1 + angle 2 = 180 - Incorrect

Though this is true, this does not prove that lines C and D are parallel because both of these angles are on the same line.

C) angle 2 = angle 3 - Correct

These angles are alternate interior angles and there are angles on both lines, which proves that lines C and D are parallel.

D) angle 2 + angle 3 = 180 - Incorrect

These angles are equivalent, so they cannot add up to 180 degrees unless the intersecting line was perpendicular to both lines C and D.

Hope this helps!! :)

You might be interested in

can some on help me that way smarter wants the expression in words for 9×(8+4) and plz show me how to write it

torisob [31]

P - parenthesis
e - exponents
m - multiplication
d - division
a - addition
s - subtraction
_______________
so parenthesis is first, p, so 8 plus four equals to 12
multiplication is next, m, so 12 x 9 is 108
the answer is 108

6 0

4 years ago

Which pair of angles must be supplementary? HURRYYYYY!

lisabon 2012 [21]

Answer:

1 and 3, if im wrong i am sorry I have not don this in a long time

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Find the volume of the garden shed

Leno4ka [110]

Answer:

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 />

From inspection of the given diagram, the slant height of the pyramid is 3.5 m.

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>

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