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Sever21 [200]
3 years ago
8

Two angles are vertical angles. what are their measures if they are also complementary

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
7 0
If angles are x and y then

x = y   (as they are vertical angles)

also  x + y = 90

so 2x = 90 

x = 45 


They are both 45 degrees
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A spinner is divided into many different color sectors. Some sectors are larger than others. The spinner was spun 300 times. The
Furkat [3]
Solutions 

We know that <span>a spinner was divided into many different color sectors. Some sectors are larger than others. The spinner was spun 300 times. The results were tallied up and were written in a table. 

</span><span>Red:93

Blue:59

Green:105

Yellow:43
</span>
The spinner landed the highest on green. To find <span>the probability that the next spin will land on green we have add all the numbers and simplify them.  

93 + 59 + 105 + 43 = 300 

Out of 300 the spinner landed to green 105 times. We have the fraction 105/300. 

105/300 can be reduced. To reduce the fraction we need to the GCF of 105 and 300. The GCF is 15. 

</span>We can reduce the fraction by dividing the numerator and denominator by the GCF = 15. 

105 ÷ 15 = 7 

300 ÷ 15 = 20 

Our new fraction is 7/20 

The <span>probability that the next spin will land on green is 7/20. 
</span>≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
<span>
To get the answer to part (B) we have to add the results of red and green then simplify. 

93 + 105 = 198 

The fraction is 198/300. </span><span>198/300 can be reduced. To reduce the fraction we need to the GCF of 105 and 300. The GCF is 6. 

</span>We can reduce the fraction by dividing <span>the numerator and denominator by the GCF = 6.

</span>198 ÷ 6 = 33

300 ÷ 6 = 50<span>

The new fraction is 33/50 

</span>The probability that the next spin will land on either green or red is <span>33/50. 
</span>
Hope this helps 
4 0
3 years ago
Find the surface area of the prism shown (Remember, rectangular prisms have a total of 6 sides)
gregori [183]

Answer:

The answer is 190mm2

Step-by-step explanation:

(3x5)x2  30

(3x10)x2  60

(5x10)x2  100

add them all up to get 190

6 0
2 years ago
Read 2 more answers
What is the volume of this pyramid?<br><br> • 7560 cm³<br> • 5040 cm³<br> • 2520 cm³<br> • 1728 cm³
gavmur [86]

Answer:

Volume = 2520 cm^3.

Step-by-step explanation:

The volume of a pyramid = 1/3 * area of the base * height.

The base of this pyramid is a triangle and its area

= 1/2 * 18 * 24 cm^2 so the volume of the pyramid is:

1/3 * 1/2 * 18 * 24 * 35

= 2520 cm^3.

6 0
3 years ago
A train travels 180 miles in 2 hours. A jet goes 7 times faster. How far can the jet fly in 5 hours? Solve in space above.
Anton [14]

Answer: 3150 miles

Step-by-step explanation: Ok, let's break it down...

180 ÷ 2 = 90 / The train travels 90 mph....

90 * 7 = 630 / The jet travels 630 mph....

630 * 5 = 3150 / The jet will travel 3150 miles in 5 hours, I hope this helps!

7 0
3 years ago
What is 0.6 repeating simplified in a fraction
sineoko [7]
The answer is 2/3.

hope this helps!
3 0
3 years ago
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