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antoniya [11.8K]
3 years ago
9

HELP.

Mathematics
1 answer:
wolverine [178]3 years ago
5 0

Answer:

x=8

Step-by-step explanation:

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The football coach is overseeing the installation of new goal posts on the football field. He is wondering if the goal posts are
Westkost [7]

Answer:

Correct option is D. No, since the ratios of the corresponding sides are not proportional.

Step-by-step explanation:

Please refer to the attached figure

Let height of coach represents by AB = 6 feet

And shadow of coach represents by BC = 4 feet

Let height of goal post represents by DE = x feet

And Shadow of goal post represents by EF = 12 feet.

Since measurement of shadows are at same time. therefore  ratio of height of coach and height of goal post  must be same as ratio of shadow of coach and shadow of goal post.

⇒ 6/x = 4/12

⇒x = 72/4 = 18 feet

So goal post is not at regular height , since expected height is 20 feet while actual height is 18 feet . And if we consider value of x as 20 feet instead of 18 feet , ratio of corresponding sides will not match.

Hence correct answer is D. No, since the ratios of the corresponding sides are not proportional.

8 0
3 years ago
A bag contains yellow marbles and blue marbles, 73 in total. The number of yellow marbles is 7 more than 5 times the number of b
Roman55 [17]

Answer:

number of yellow marbles=62.

Step-by-step explanation:

It is given that in a bag there are yellow marbles and blue marbles and the total number of marbles=73.

Let the number of Blue marbles=x, then according to the question, number of yellow marbles will be =5x+7.

Now, Total number of marbles= number of yellow marbles+number of blue marbles.

⇒73=x+5x+7

⇒73-7=6x

⇒66=6x

⇒x=11

Therefore, numberof blue marbles=x=11 and

number of yellow marbles=5x+7=5(11)+7=55+7=62.

8 0
3 years ago
A box is filled with 3 yellow cards , 4 green cards. A card is chosen at random from the box. What is the probability that the c
nasty-shy [4]

Answer:

3/7

Step-by-step explanation:

total cards 3+4 = 7

Not green = 7-4 = 3 cards

P ( not green )= not green cards / total = 3/7

6 0
2 years ago
Read 2 more answers
Midsegment of triangle <br> Find X
Charra [1.4K]

Answer:

10 = x

Step-by-step explanation:

This is what is called the Midsegment Theorem, which states that the relation of a triangle's midpunkt is parallel to the triangle's third side, and the mid-segment length is half the third side length, so you would take half of 4x + 20 and set that expression equal to the midsegment:

2x + 10 = 3x

-2x - 2x

____________

10 = x

You then plug this back into both expressions above to get the double-segment of 60 and the mid-segment of 30. We can tell this is correct because 30 and 60 are relatively proportional to each other.

I am joyous to assist you anytime.

4 0
3 years ago
What is the slope of the line that passes through the points (-5, -7)(−5,−7) and (4, -1) (4,−1)
strojnjashka [21]

Answer:

2/3

Step-by-step explanation:

REmember that the slope of a line is y/x. To find this, we must use the formula:

y2-y1/x2-x1=y/x

So this is -1 - -7/4- -5. The  -1 -- 7 is actually -1+7. This is 6, meaning y equals 6.

The x is 4 - - 5 is actually 4+5. This is 9, meaning x is equal to 9.

We can now write this as y/x. This would be 6/9.

Once we simplfy this, we get 2/3.

Answer:

<u>2/3</u>

<u />

6 0
2 years ago
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