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solong [7]
3 years ago
8

Guys pls help me!!!!!

Mathematics
1 answer:
KiRa [710]3 years ago
8 0
I think c, 36 cubic feet. I’m not sure though
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Determine which of the lines are parallel and which of the lines are perpendicular. Select all of the statements that are true.
slega [8]

Answers:

Line A is parallel to line D.

Line A is perpendicular to line C.

Line C is perpendicular to line D.

=====================================================

Explanation:

Let's use the slope formula to calculate the slope of the line through (-1,-17) and (3,11)

(x_1,y_1) = (-1,-17) \text{ and } (x_2,y_2)  = (3,11)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{11 - (-17)}{3 - (-1)}\\\\m = \frac{11 + 17}{3 + 1}\\\\m = \frac{28}{4}\\\\m = 7\\\\

The slope of line A is 7

-------------

Now let's find the slope of line B.

(x_1,y_1) = (0,4) \text{ and } (x_2,y_2)  = (7,-5)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-5 - 4}{7 - 0}\\\\m = -\frac{9}{7}\\\\

-------------

Now onto line C.

(x_1,y_1) = (7,1) \text{ and } (x_2,y_2)  = (0,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - 1}{0 - 7}\\\\m = \frac{1}{-7}\\\\m = -\frac{1}{7}\\\\

-------------

Lastly we have line D.

(x_1,y_1) = (-1,-6) \text{ and } (x_2,y_2)  = (1,8)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{8 - (-6)}{1 - (-1)}\\\\m = \frac{8 + 6}{1 + 1}\\\\m = \frac{14}{2}\\\\m = 7\\\\

------------------------------

Here's a summary of the slopes we found

\begin{array}{|c|c|} \cline{1-2}\text{Line} & \text{Slope}\\\cline{1-2}\text{A} & 7\\\cline{1-2}\text{B} & -9/7\\\cline{1-2}\text{C} & -1/7\\\cline{1-2}\text{D} & 7\\\cline{1-2}\end{array}

Recall that parallel lines have equal slopes, but different y intercepts. This fact makes Line A parallel to line D.

Lines A and C are perpendicular to one another, because the slopes 7 and -1/7 multiply to -1. In other words, -1/7 is the negative reciprocal of 7, and vice versa. These two lines form a 90 degree angle.

Lines C and D are perpendicular for the same reasoning as the previous paragraph.

Line B unfortunately is neither parallel nor perpendicular to any of the other lines mentioned.

You can use a graphing tool like Desmos or GeoGebra to verify these answers.

6 0
1 year ago
NEED HELP PLS thank u
Mandarinka [93]
Hey I can help. Do u still need it?
7 0
3 years ago
Read 2 more answers
Figure A - Figure B. Find the volume of figure B.
Cloud [144]

Answer:

use this to help you

Step-by-step explanation:

In math, volume is the amount of space in a certain 3D object. For instance, a fish tank has 3 feet in length, 1 foot in width and two feet in height. To find the volume, you multiply length times width times height, which is 3x1x2, which equals six.

6 0
2 years ago
13 Create trig ratios to solve for the variables. Round your answer to one decimal place: 8 cm ms y 50° x= y​
vovangra [49]

Answer:

Step-by-step explanation:

Ifk

4 0
2 years ago
Triangle ABC is similar to Triangle FGH. What is the value of x in centimeters?
EleoNora [17]

<u>Given</u>:

Given that the triangle ABC is similar to triangle FGH.

We need to determine the value of x.

<u>Value of x:</u>

Since, the triangles are similar, then their sides are proportional.

Thus, we have;

\frac{AC}{FH}=\frac{AB}{GF}=\frac{BC}{GH}

Let us consider the proportion \frac{AB}{GF}=\frac{BC}{GH} to determine the value of x.

Substituting AB = 9 cm, GF = 13.5 cm, BC = 15 cm and GH = x, we get;

\frac{9}{13.5}=\frac{15}{x}

Cross multiplying, we get;

9x=15 \times 13.5

9x=202.5

 x=22.5 \ cm

Thus, the value of x is 22.5 cm

Hence, Option F is the correct answer.

8 0
3 years ago
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