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ohaa [14]
4 years ago
8

Line r is parallel to line s. In which diagram MUST angle 1 be congruent to angle 2?

Mathematics
1 answer:
sattari [20]4 years ago
5 0

Answer:

C

Step-by-step explanation:

In C, angle 1 and 2 are alternate exterior angles, meaning that they are equivalent. They are only corresponding angles in the other options and corresponding angles are not always congruent. So the answer must be C.

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which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x?
kicyunya [14]
First, take a look at 3 less than twice x. Twice x would be 2x and 3 less than it would become 2x-3. 

Next, 2 more than the quantity 3 times x. The quantity of 3 times x is 3x and 2 more than that would be 3x+2. 

Now that we have our two equations, we need to multiply them together, which can be shown as (2x-3)(3x+2).

Then, multiply the two equations together using FOIL (multiply the first two terms, then the outside terms, then inside, and lastly, the last two terms): 2x times 3x, 2x times 2, -3x times 3x, and 2 times -3, which equates to 6x^2+4x-9x-6. 

Your final answer is 6x^2-5x-6. 
7 0
4 years ago
Barbara runs once around the track in 3 minutes 45 seconds. Liad runs around the track in 2
seropon [69]

Answer:

2/3rds of liad's run

Step-by-step explanation:

3 min 45s = 3 3/4 min = 15/4 min; 10/(15/4) = 8/3 laps

2min 30s = 2 1/2 min = 5/2 min; 10/(5/2) = 4 laps

(8/3)/4 = 2/3

3 0
2 years ago
5. Which step is included in the construction of inscribed polygons? (5 points)
RideAnS [48]

Answer:

Your answer is D

Step-by-step explanation:

Your welcome

5 0
3 years ago
Help me find the surface area of the candle
ExtremeBDS [4]

Answer:

Easy!

Step-by-step explanation:

1) To find the surface area of a regular triangular pyramid, we use the formula SA = A + (3/2)bh, where A = the area of the pyramid's base, b = the base of one of the faces, and h = height of one of the faces.

or

2)Multiply the side length of the base by the slant height and divide by two. Then, multiply by 4. This will give you the lateral surface area of the pyramid. Add the base surface area and the lateral surface area.

4 0
3 years ago
Keira goes shopping at a supermarket
Damm [24]
What is the rest of it
6 0
3 years ago
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