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Radda [10]
2 years ago
9

Solve the system of equations by substitution: y = x - 2

Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
4 0

Step-by-step explanation:

y = x - 2

x + y = 12

Substitute the first expression for y into the second equation.

x + (x - 2) = 12

2x - 2 = 12

2x = 14

x = 7

Now plug into either equation to find y.

y = 7 - 2

y = 5

So the solution is (7, 5).

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What is the surface area of this triangular prism? The base of each triangle is 42 m and the height of the triangular base is 20
shutvik [7]

<u>Given</u>:

The base of each triangular base is 42 m.

The height of each triangular base is 20 m.

The sides of the triangle are 29 m each.

The height of the triangular prism is 16 m.

We need to determine the surface area of the triangular prism.

<u>Surface area of the triangular prism:</u>

The surface area of the triangular prism can be determined using the formula,

SA=bh+(s_1+s_2+s_3)H

where b is the base of the triangle,

h is the height of the triangle,

s₁, s₂ and s₃ are sides of the triangle and

H is the height of the prism.

Substituting the values, we get;

SA=(42)(20)+(42+29+29)(16)

SA=840+(100)(16)

SA=840+1600

SA=2440

Thus, the surface area of the triangular prism is 2440 m²

8 0
3 years ago
Find the circumference of the circle shown. round to the nearest tenth .
aivan3 [116]

Answer:

The answer is B (110.0 cm).

Step-by-step explanation:

If you multiply the diameter 35 by pi (3.14) you get 109.9.

When you round to the nearest tenth the answer 110.

4 0
3 years ago
Are the triangles congruent if they are which theorem and why?
leonid [27]
Yes the sides are equal to each other
7 0
3 years ago
i was supposed to be on a bus, but there was a lady with a chicken on there. what is this, like, guatemala? what the hell? leave
dsp73

lol thats interesting.

4 0
3 years ago
Help picture attached
Vilka [71]
I would say c or d. but since its multiple choice, its ok to guess sometimes.
6 0
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