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Sphinxa [80]
3 years ago
14

Lines C and D below are cut by transversal, t. Which of the following is true about the angles formed? *

Mathematics
1 answer:
vlada-n [284]3 years ago
4 0

Answer: a is true

Step-by-step explanation:

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A group of 100 students took a quiz. Their average score was 76 points. If the average score for the boys was 80 points and the
sveta [45]

Answer:

The number of girls participated in quiz is 40 .

Step-by-step explanation:

Given as :

Total number of students took quiz = 100

Average score of 100 students = 76 points

The Average score of boys = 80 points

The Average score of girls = 70 points

Let The number of boys participated in quiz = b

Let The number of girls participate in quiz = g

Now, According to question'

Total number of students took quiz = number of boys participated in quiz + number of girls participated in quiz

Or, b + g = 100           ........A

<u>Again</u>

∵ Average score of 100 students = 76 points

∴ Total score of 100 students = 76 × 100 = 7600

So, Average score of boys × number of boys participated + Average score of girls × number of girls participated = Total score of 100 students

Or, b × 80 + g × 70 = 7600

Or, 80 b + 70 g = 7600             .........B

Now, Solving equation A and B

(80 b + 70 g ) - 70 ×( b + g ) = 7600 - 70 × 100

I.e (80 b - 70 b) + (70 g - 70 g) = 7600 - 7000

Or, 10 b + 0 = 600

∴  b = \dfrac{600}{10}

i.e b = 60

So, The number of boys participated in quiz = b = 60

Put the value of b into eq A

∵ b + g = 100

So, g = 100 - b

Or, g = 100 - 60

i.e g = 40

So, The number of girls participated in quiz = g = 40

Hence, The number of girls participated in quiz is 40 . Answer

6 0
3 years ago
A lighthouse has a shadow that is 36 feet long. Zara is 4 feet tall, and she is standing next to the lighthouse. Zara has a shad
larisa [96]

Answer:

Explanation:

7 0
2 years ago
Find the value of x.<br> x=
Free_Kalibri [48]
Answer: 110

Reasoning: all of the numbers should add up to 360.

140+110=250

360-250=110

The angles of 110 look the same, go for it.
4 0
3 years ago
Need to know if this is true or false
Basile [38]

Both #2 is true and #3 is true.

That is how you do the distributive property for that question.

5 0
3 years ago
Read 2 more answers
Using the technique in the model above, find the missing sides in this 30°-60°-90° right triangle. Hypotenuse = 10 Short =
balandron [24]

Answer:

Short = 5

Step-by-step explanation:

The ratio of sides of a 30°-60°-90° right triangle is ...

  1 : √3 : 2

That is, the hypotenuse is twice the length of the short side, and the long side is √3 times the length of the short side.

Then the short side is 1/2 the length of the hypotenuse.

For the given triangle, Short = (1/2)×10 = 5.

6 0
3 years ago
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