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Goshia [24]
3 years ago
15

If ∠1 and ∠2 are equal, why are lines l and m are parallel.

Mathematics
2 answers:
rosijanka [135]3 years ago
8 0
The answer is D, the alternate exterior angles theorem.

Alternate, because the two angles are on opposite sides of line t.
Exterior, because both angles are outside of the parallel lines.

Therefore, alternate exterior angles theorem.
Scorpion4ik [409]3 years ago
3 0

Answer:

the answer is D (alternate exterior angles theorem)

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What is the surface area of the composite figure
leva [86]

Answer:

The answer is 672.

Step-by-step explanation:

To solve this problem, first let's find the surface area of the rectangular prism. To do that, multiply each dimension with each (times 2 | just in case you don't understand [what I'm talking about is down below]).

8 x 8 x 2 = 128

8 x 11 x 2 = 176

8 x 11 x 2 = 176

Then, add of the products together to find the surface area of the rectangular prism.

176 + 176 + 128 = 480

Now, let's find the surface area of the square pyramid. Now, for this particular pyramid, let's deal with the triangles first, then the square. Like we did with the rectangular prism above, multiply each dimension with each other (but dividing the product by 2 | in case you don't understand [what i'm talking about is down below]).

8 x 8 = 64.

64 ÷ 2 = 32.

SInce there are 4 triangles, multiply the quotient by 4 to find the surface area of the total number of triangles (what i'm talking about is down below).

32 x 4 = 128.

Now, let's tackle the square. All you have to do is find the area of the square.

8 x 8 = 64.

To find the surface area of the total square pyramid, add both surface areas.

128 + 64 = 192.

Finally, add both surface areas of the two 3-D shapes to find the surface area of the composite figure.

192 + 480 = 672.

Therefore, 672 is the answer.

6 0
3 years ago
A line has a slope of 9. One of the points on the line is (-2, p). Another point on the line is (2, 2p+1). Determine the value o
igomit [66]

As we travel from (-2, p) to (2, 2p+1), x increases by 4 and y increases by p+1.  Note that -2 + 4 = 2 (which is correct), and that p + (p+1) = 2p+1 (which is also correct).                                                        

                                                                           p+1

Thus, the slope of this line is m = rise / run = -------- = 9

                                                                               4


Then p + 1 = 36, and p = 35.

8 0
3 years ago
First question. The midpoint of SR is...
Blizzard [7]

The formula of a midpoint SR:

M\left(\dfrac{x_S+x_R}{2},\ \dfrac{y_S+y_R}{2}\right)

We have

S(4, 1) and M(7, -5)

Substitute:

\dfrac{4+x_R}{2}=7\qquad|\cdot2\\\\4+x_R=14\qquad|-4\\\\x_R=10\\\\\dfrac{1+y_R}{2}=-5\qquad|\cdot2\\\\1+y_R=-10\qquad|-1\\\\y_R=-11

<h3>Answer: R(10, -11)</h3>
6 0
3 years ago
Help me on this one please !
Semenov [28]
Look at my work below I plugged it in multiple times and tried plugging in A. D is the only answer that is probable

6 0
3 years ago
A line contains the points (3, 8) and (6, 5). Write the equation of the line in slope-intercept form. Use no spaces in your equa
Artyom0805 [142]
5-8
------ =-3/3=1
6-3
y=1x+b
4 0
3 years ago
Read 2 more answers
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