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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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3 years ago
-k+3k combine like terms to create an equivalent expression​
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2k

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Need help with the questions?
gulaghasi [49]
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3 0
2 years ago
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A boy has only dimes and quarters in his piggy bank. if he has 70 coins worth 12 dollars and 40 cents altogether, how many quart
dlinn [17]

Let us bear in mind the equivalent value of these coins: 

One dime = $0.10 

One quarter = $0.25 

Let x = number of dimes 

        y<span> = number of quarters</span> 

Since the boy has 70 coins in total, we can say that: 

<span>x + y = </span><span>70 </span>(can be written as x = 70 – y) 

Since the boy has a total of $12.40, we can say that: 

0.10x + 0.25y = 12.40 

To solve this problem, we need to solve this system of equation. We have to substitute the value of x as written in the first equation (x = 70 –y) 

0.10(70 – y) + 0.25y = 12.40 

7 – 0.10y + 0.25y = 12.40 

0.15y = 5.40 

y = 36 

X = 70 – 36 

X = 34 

Therefore,<span> the boys </span>has<span> 34 dimes and 36 quarters. To check our answer, we just have to check if his money would total $12.40.</span> 

34 dimes = $3.40 

36 dimes = $9.00 

<span>Total           </span><span>$12.40</span>

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2 years ago
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The worng answer is [b] 
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