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3 years ago

Find the value of x? Enter your answer in the box.

Mathematics

1 answer:

8090 [49]3 years ago

5 0

Answer:

x = 21

Step-by-step explanation:

We know that a triangle equals to 180 degrees.

Combine like terms. (x + 3x) and (-4 + 100)

x - 4 + 3x + 100 = 180

Subtract 96 on both sides.

4x + 96 = 180

-96 -96

Divide 4 on both sides.

4x = 84

--- -----

4 4

And you get a solution of 21.

x = 21

Check:

Substitute 21 into x.

Add/Subtract from left to right.

21 - 4 + 3(21) + 100 = 180

17 + 63 + 100 = 180

80 + 100 = 180

180 = 180

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Is (9,-17) a function?

choli [55]

Yes. All inputs are different.

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3 years ago

Read 2 more answers

Last week, Gina's art teacher mixed 9 pints of red paint with 6 pints of white

kherson [118]

Answer:

Step-by-step explanation:

First mix: 4 pints red and 3 pints white = 7 pints in 4:3 ratio.

Second mix: 5 pints red and 2 pints white = 7 pints in 5:2 ratio

Second music is redder than first mix.

4 0

3 years ago

The data to the right represent the weights (in grams) of a random sample of 50 candies. Complete parts (a) through (f). 0.92

Inessa05 [86]

Answer:

0.069

Step-by-step explanation:

The given data set is

0.92, 0.87, 0.88, 0.82, 0.82, 0.87, 0.97, 0.86, 0.89, 0.84, 0.81, 0.88, 0.77, 0.86, 0.93, 0.84, 0.72, 0.82, 0.74, 0.83, 0.93, 0.75, 0.79, 0.91, 0.84, 0.91, 0.88, 0.88, 0.83, 0.78, 0.99, 0.81, 0.78, 0.75, 0.82, 0.76, 0.82, 0.87, 0.91, 0.77, 0.72, 0.94, 0.71, 0.73, 0.81, 0.81, 0.86, 0.93, 0.93, 0.82.

Formula for mean:

$Mean=\frac{\sum x}{n}$

Sum of all terms = 41.98

Mean of the data set is

$Mean=\frac{41.98}{50}$

$Mean=0.8396$

Formula for standard deviation for population:

$\sigma=\sqrt{\frac{\sum (x-\overline{x})^2}{n}}$

Formula for standard deviation for sample:

$\sigma=\sqrt{\frac{\sum (x-\overline{x})^2}{n-1}}$

$\sigma=\sqrt{\frac{0.231792}{50-1}}$

$\sigma=\sqrt{0.004730449}$

$\sigma=0.06877826$

$\sigma\approx 0.069$

Therefore, the standard deviation of the data set is 0.069.

5 0

3 years ago

Please help on this problem

Harlamova29_29 [7]

Answer: EP is 12 and EO is about 10.91.

To find the length of EP, we can use the Pythagorean Theorem with the 2 legs of the right triangle it would form, EC and CP. CP would be 5 because it is the midpoint of the side.

5^2 + (EP)^2 = 13^2
EP = 12

Now, to find EO, we write and solve another Pythagorean Theorem equation using 12 for EP.

5^2 + (EO)^2 = 12^2
EO equals the square root of 119 or about 10.91.

6 0

3 years ago

Quadrilateral BCDE is a rhombus. What is DE? D с 9z E 2+72 B

aleksklad [387]

Answer:

DE = 81

Step-by-step explanation:

The sides of a rhombus are congruent , thus

9z = z + 72 ( subtract z from both sides )

8z = 72 ( divide both sides by 8 )

z = 9

Then

BC = 9z = 9 × 9 = 81

Since the sides are congruent, then DE = 81

6 0

3 years ago