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S_A_V [24]
3 years ago
9

Use the figure to identify each pair of angles as complementary angles, supplementary angles, vertical angles, or none of these.

Mathematics
1 answer:
zhenek [66]3 years ago
8 0

Answer:

a is true and becomes complimentary as they both add up to 90 degree.

b. is true it is the only vertical angle group. As points AE, and BD cross and create these angles.

c is supplementary as both 3,4 together add up to 180

but each of these do not fit other description, as 5,1 would be also supplementary if 2 was in that group.

Step-by-step explanation:

Points 3, 4 as a group and 3,2,1 as a group and 2,1,5 as a group are each supplementary as each group add up to 180 degree. 1,5 on its own is not supplementary

Points 2 is complimentary on its own and also 1,5 combined are complimentary so this is true and  1,5 on its own as a group is complimentary.

Points 3,5 become vertical angles as a group.

Angles A:B + D:E are also vertical angles this shows points 1,2 and 4 as a group of vertical angles.

Vertical Angles are the angles opposite each other when two lines cross. "Vertical" in this case means they share the same Vertex (corner point), not the usual meaning of up-down

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2 years ago
Two cars travel at the same speed to different destinations. Car A reaches its destination in 17 minutes. Car B reaches its dest
Goryan [66]

Answer:

speed of car A =Speed of car B=0.8 miles/minutes.

Step-by-step explanation:

We are given that speed of car A is equal to speed of car B.

Also let car A travels x miles.

and car B travels y miles.

Car A  reaches its destination in 17 minutes.

this means that speed of car A is given by:  \dfrac{x}{17} miles/minutes  ( since speed is defined as the ratio of distance and time).

Car B reaches its destination in 32 minutes.

This means that the speed of car B is given by: \dfrac{y}{32} miles/minutes

as speed of both cars are equal this means:

\dfrac{x}{17}=\dfrac{y}{32}------(1)

Also we are given Car B travels 12 miles farther than Car A.

this means y-x=12

y=12+x------(2)

on using equation (1) and (2) we have:

\dfrac{x}{17}=\dfrac{12+x}{32}\\  \\32x=17(12+x)\\\\32x=17\times12+17x\\\\32x-17x=17\times12\\\\15x=122\times17\\\\x=13.6

Hence the speed of car A is 0.8 miles/minutes  ( since x/17 is the speed of car A)

Speed of car B=0.8 miles/minutes.



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kykrilka [37]

Answer:

58.25

Step-by-step explanation:

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Cross multiply. One hundred times amount of the sales tax equals forty-eight dollars and seventy-five cents times four point five.

Divide both sides by one hundred to find that the sales tax equals two dollars and nineteen cents.

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Finally, add the amounts together to find the total cost of the meal was fifty-eight dollars and twenty-five cents.

4 0
2 years ago
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