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Fynjy0 [20]
4 years ago
9

Find the pair of similar triangles shown . find the length of side h .

Mathematics
1 answer:
kupik [55]4 years ago
3 0
\frac{21}{h} =  \frac{6}{7}

6*h = 21*7
6h = 147
h = 24,5
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On a certain IQ test, eleven people averaged a 101.5. A certain reality TV star took
dem82 [27]

Answer:

59.98

Step-by-step explanation:

To find the average of a set of numbers, we sum them all together and divide them by the size of the set. Here, we start out with 11 IQ scores. We don't know what they are, but we can still set up an equation with the information we do have. Let's call the sum of those 11 score <em>s</em>. The average must be s/11, which we know is 101.5. With that, we can set up and solve and equation for <em>s</em>:

\dfrac{s}{11}=101.5\\s=101.5(11)\\s=1116.5

Let's call the score of the reality TV star <em>r</em>. If we add their score to the set, we now have <em>12</em> scores. The sum of those scores is gonna be the sum of the previous scores, 1116.5, plus the reality TV star's score, r. To find the average, we divide the sum by 12. Finally, we're told that this average is exactly 98.04. Putting all of this into an equation gives us

\dfrac{1116.5+r}{12}=98.04

We can now solve for r algebraically, first by multiplying both sides by 12:

1116.5+r=98.04(12)\\1116.5+r=1176.48

And then subtracting 1116.5 from both sides:

r=1176.48-1116.5\\r=59.98

6 0
3 years ago
Point \blue{A}Astart color blue, A, end color blue is at \blue{(-4, 8)}(−4,8)start color blue, left parenthesis, minus, 4, comma
ASHA 777 [7]

Answer:

The coordinates of point B are (6,7).

Step-by-step explanation:

Given points are

Blue = A(-4,8)

Purple = M(1,7.5)

Green = B

It is given that point M is the midpoint of point A and B.

Let coordinates of points are (a,b).

Midpoint of two points is

Midpoint=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})

M=(\dfrac{-4+a}{2},\dfrac{8+b}{2})

Coordinates of midpoint are (1,7.5).

(1,7.5)=(\dfrac{-4+a}{2},\dfrac{8+b}{2})

On comparing both sides we get

1=\dfrac{-4+a}{2}\Rightarrow 2=-4+a\Rightarrow a=6

7.5=\dfrac{8+b}{2}\Rightarrow 15=8+b\Rightarrow b=7

Therefore, the coordinates of point B are (6,7).

6 0
3 years ago
Sarihas to read a book for English class by the end of the week.She wants to read at least 200 pages in the first 5days of the w
zzz [600]
200/5 = 40...she should read at least 40 per day to reach her goal
6 0
3 years ago
A researcher decides to determine if the type of writing utensil that a student uses while doing their math affects their accura
alexandr1967 [171]

Since the variable type of writing utensil assumes labels and not numbers, it is classified as qualitative.

<h3>What are qualitative and quantitative variables?</h3>
  • Qualitative variables: Assumes labels or ranks.
  • Quantitative variables: Assume numerical values.

In this problem, the type of writing utensil has 4 labels: regular pencil, mechanical pencil, pen, whatever.

Hence, since the variable assumes labels and not numbers, it is classified as qualitative.

More can be learned about quantitative and qualitative variables at brainly.com/question/20598475

5 0
3 years ago
A winter jacket cost $200. It is on sale for 30% off when you have a coupon to save another 20%. How much do you have to pay for
Luba_88 [7]

Answer:

$100

Step-by-step explanation:

20%+30% = 50% off

50/100 = 1/2

200*1/2 = $100

5 0
3 years ago
Read 2 more answers
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