Find the value of x in the figure and choose the correct result,​

Answer:

x = 14

Step-by-step explanation:

if the triangles are similar then

16/24 = x/21 cross multiply expressions

336 = 24x divide both sides by 24

14 = x

№7

[tex]4(5y - 2) = 52\\4*5*y - 4 * 2 = 52\\20y - 8 = 52\\20 y = 52 + 8\\20y = 60\\y = 60 : 20\\y = 3[/tex]

№11

[tex]2x + 17 = 5x - 4\\17 + 4 = 5x - 2x\\21 = 3x\\x = 21 : 3\\x = 7[/tex]

№12

[tex]2x + 7 = 16 - 4x\\2x + 4x = 16 - 7\\6x = 9\\x = 9 : 6\\x = \frac{3}{2}\\x = 1,5[/tex]

№14

[tex]4(2y + 1) = 2 (12 - y)\\4*2*y + 4 * 1 = 2 * 12 - 2 * y\\8y + 4 = 24 - 2y\\8y + 2y = 24 - 4\\10y = 20\\y = 20 : 10\\y = 2[/tex]

№15

[tex]7 - 3x = 2(x + 1)\\7 - 3x = 2x + 2\\7 - 2 = 2x + 3x\\5 = 5x\\x = 5 : 5\\x = 1[/tex]

№16

[tex]\frac{x-3}{2} = 5\\x-3 = 5*2\\x - 3 = 10\\x = 10 + 3\\x = 13[/tex]

Answer:

z≥-10

Step-by-step explanation

it just is, trust.

Answer:

-50 N

Step-by-step explanation:

125 - 75 = 50

left = negative

right = positive

The ball is going to be kicked to the left because the net force on the right is larger, and as you can see above, left = negative and right = positive. So the answer would be -50 N

Answer:350

Step-by-step explanation:70x500 divide by 100=350

Answer:

50

Step-by-step explanation:

30% * n = 15

Change to decimal form

.30 *n = 15

Divide each side by .30

.30n/.30 = 15/.30

n =50

The number is 50

Answer:

$320

Step-by-step explanation:

An easy way to solve this problem is to undo the operations, Find the total amount of money, and then find half of the amount. Since (80) is ([tex]\frac{1}{8}[/tex]) the total amount of money, one has to multiply (80) by (8) to find the total amount of money.

(80) * (8)

= 640

Now one is asked to find (50%) of the money. It is known that (50%) is equivalent to (0.5), therefore multiply (640) by (0.5) to find how much (50%) of the money is.

(640) * (0.5)

= 320

Answer:

9-(2/x)

Step-by-step explanation:

Answer:

9-(2/x)

Step-by-step explanation:

This represents the expression.

Answer:

1306 feet

Step-by-step explanation:

sin∅ = opp/hyp

sin21 = 468/hyp

hyp = 468/sin21

hyp = 1305.920355304657206

Rounded

1306 feet

==================================================

Explanation:

From the given info, we see that 91 is two standard deviations above the mean. The diagram shows 91 is two tickmarks to the right of center. Or we could note that z = (x-mu)/sigma = (91-75)/8 = 2.

Roughly 95% of the normal distribution is within 2 standard deviations of the mean. I'm using the Empirical Rule.

So about 95% of the population is between 59 and 91 inches tall. That leaves 5% of the population in both tails combined. Cut this in half to get 2.5%

We have 2.5% of the population taller than 91 inches

2.5% of 4500 = 0.025*4500 = 112.5 = 113

Roughly 113 people are taller than 91 inches

----------

Side notes:

Answer:

72 yd^3

Step-by-step explanation:

Answer:

Volume of this pyramid is 72.

Answer:

For angle of 210°, coterminal angles are; 570° and -150°.

For angle of -120°, coterminal angles are; 240° and -480°

Step-by-step explanation:

Since we are asked to angle find angle that's coterminal, we will add/ subtract 360° from each angle respectively to get that because coterminal angles are defined as those that share the same terminal side. Thus;

For angle of 210°, coterminal angles are;

>> 210° + 360° = 570°

>> 210° - 360° = - 150°

For angle of -120°, coterminal angles are;

>> - 120° + 360° = 240°

>> - 120° - 360° = - 480°

Answer:

There are 59,049 different ways of answering the exam.

Step-by-step explanation:

The first thing we need to count is the total number of selections, then we need to count the number of options for each one of these selections. The total number of combinations will be equal to the product between all the numbers of options.

Here, the selections are each one of the 10 questions, so we have 10 selections.

And each one of these selections has 3 options (true, false, blank)

So, we have 10 selections with 3 options each, then the total number of combinations will be:

C = 3*3*3*3*3*3*3*3*3*3 = 3^10

C = 59,049

There are 59,049 different ways of answering the exam.

Answer:

45 meals.

Step-by-step explanation:

Answer:

45 meals

Explanation:

Given :

Alonzo has bought 30pounds of dog food

He feed his dog 2/3 ponds for each meal,

To Find :

How meals will the food last

Solution :

Total pounds he bought => 30

He feeds 2/3 pounds in each meals

Therefore, consumed in each meal  =>

Therefore, food will last for 45 meals

Answer:

45 Meals

Step-by-step explanation:

It's pretty simple, just divide 30 by 2/3. Doing so will get 45.

Answer:

7b - 2 = 6b

3b + 7 = 10b

6b + 6b + 10b +10b

12b + 20b

34b

Answer:

B.) 40°

Step-by-step explanation:

because the sum of all the interior angles should be 180°, so 50°+90°+y=180°

y must equal 40°

Answer:

the interquartile is 4

Step-by-step explanation:

Answer:

range:7 inter. range: 4

Step-by-step explanation:

All possibilities were discussed in order to write the required linear equation.

The given linear equation is:

[tex]10x+5y=20[/tex]

An equation of the form ax+by+c=0 is called a linear equation where a, b, c∈R

For a unique solution, we need an equation ax+by+c=0 such that

[tex]\frac{10}{a} \neq \frac{5}{b}[/tex]

For infinitely many solutions, we need an equation ax+by+c=0 such that

[tex]\frac{10}{a} =\frac{5}{b} =\frac{-20}{c}[/tex]

Hence, all possibilities were discussed in order to write the required linear equation.

To get more about linear equations visit:

https://brainly.com/question/14323743

Answer:

angle c is 82 degree because 82 degree and angle c are corresponding angles.

Step-by-step explanation:

note :corredponding angles are always equal.

Answer:

Step-by-step explanation:

(23,0)

23 computers

the they make 0 dollars

Answer:

its right because any object can be measure no matter how curve it is

Step-by-step explanation:

9514 1404 393

Answer:

  35%

Step-by-step explanation:

Of those 28+52 = 80 who would recommend their game, 28 tested game A. The probability is ...

  28/80 = 0.35 = 35%

The probability that a recommending customer tested game A is 35%.

Answer:

The Sitting Store has a better price at $97.50 while The Dining Depot is at $107.95

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

We need to solve the equation .The given equation is ,

→ 8 - 6x = -28

→ -6x = -28-8

→ -6x = -36

→ x = -36/-6

→ x = 6

The solution is: When the line passes through x = -6, the value of y is: -13.

Here, we have,

given that,

A line on a coordinate plane passes through the point (2, -7) and has a slope of 0.75.

we know the equation of straight line is: ;

y = mx + c

here, m = 0.75 and, (x,y) =(2, -7)

so, we get,

c = -7 - 0.75*2 = - 8.5

So, the equation of straight line is:

y = 0.75x - 8.5

now, when the line passes through x = -6,

we get,

y =  0.75* (-6) - 8.5

  = - 13

Hence, The solution is: When the line passes through x = -6, the value of y is: -13.

To learn more on Equation 0f Straight-Line click:

brainly.com/question/25124441

#SPJ1

Answer:

G

Step-by-step explanation:

I did this assignment yesterday

Answer:

x = 91

y = 98

Your answer is F.

Step-by-step explanation:

Since a straight angle is 180° you have to subtract 89 from 180 and 82 from 180.

180 - 89 = 91

180 - 82 = 98

Hope this helps, and have a wonderful day! :)