Given Angle 1 =xº and angle 2 = (x +50)°.
Find the value of x. Then find angle 1 and 2

Answer: [tex]\dfrac{20}{7}[/tex]

Step-by-step explanation:

Given

The ratio of the area of the similar triangles is equal to the square of the side of the corresponding sides

Suppose the corresponding side on figure A is [tex]x[/tex]

On solving

[tex]\Rightarrow \dfrac{16}{49}=[\dfrac{x}{5}]^2\\\\\Rightarrow \dfrac{x}{5}=\sqrt{\dfrac{16}{49}}\\\\\Rightarrow \dfrac{x}{5}=\dfrac{4}{7}\\\\\Rightarrow x=\dfrac{20}{7}[/tex]

Answer:

4 miles in 1 hour.

Step-by-step explanation:

1 hour = 60 mins

Ratios:

[tex]\frac{3}{45} =\frac{x}{60} \\\\45x=180\\x=4[/tex]

Answer:

4 miles

Step-by-step explanation:

45/3=15 she runs 1 mile in 15 mins so in 1 hour she can jog 60/15=4 miles

Answer:

Radius: R = 12 in

Diameter: D = 24 in

Circumference: C = 75.4in

Area: A = 452.39 in²

Step-by-step explanation:

Solutions:

Diameter d= 2r

D = 2 × 12

D = 24

Circumference

C = 2πr

C = 2 × π × 12

C = 24π

C = 75.3982237

Area:

A = πr²

A = π × 12²

A = 144π

A = 452.389342

Answer:

17

Step-by-step explanation:

using Pythagorus theroem, you do (√514)² - 15².

This gives you 289 which you then need to square root, giving you 17

the line segment KN is the radius

Answer:

0

48

24

12

36

Step-by-step explanation:

Answer:648

Step-by-step explanation:

V=a2h

3=92·24

3=648

Answer:

648 in.^3

Step-by-step explanation:

V = (1/3)Bh

V = (1/3)(9 in.)^2(24 in.)

V = 648 in.^3

Answer:

1/4

Step-by-step explanation:

jdkdbejenrdjeiuidur

Answer:

(x−2)(x+3)

Step-by-step explanation:

x²-x-6=x²+3x−2x−6=x(x+3)−2(x+3)=(x−2)(x+3)

Answer:

g(-3) = 0

Step-by-step explanation:

hello :

g(-3) = (-3)² + 3(-3) = 9-9 =0

Answer:

Step-by-step explanation:

The inequality Equation =

42 + 5x < 60

To stay within her budget of less than $60 she must use less than 3.6 Gigabytes

Step-by-step explanation:

Under her cell phone plan, Brooklyn pays a flat cost of $42 per month and $5 per gigabyte. She wants to keep her bill under $60 per month.

Let the number of gigabytes = x

Under $60 means less than $60

The inequality =

$42 + $5×x < $60

42 + 5x < 60

Solving for x

42 + 5x < 60

5x < 60 - 42

5x < 18

x < 18/5

x < 3.6 Giga bytes

Hence, to stay within her budget of less than $60 she must use less than 3.6 Gigabytes

9514 1404 393

Answer:

  a = 3

Step-by-step explanation:

Evaluating the given function at the point, we have ...

  f(-1) = a(-1)^2 +1 = 4

  a +1 = 4

  a = 3

The value of 'a' is 3.

Answer:

x = 27, y = 74

Step-by-step explanation:

Hi again :)

Since the angles of 5x + 4 and the one adjacent to x = 14 are corresponding angles, they are equal. That means that (5x + 4) + (x + 14) = 180 degrees.

5x + 4 + x + 14 = 180

6x + 18 = 180

6x = 162

x = 27

Also, the angle (5x + 4) and (2y - 9) are vertical angles, they are equal in value. We know the value of x now, so we'll substitute that in and solve for y.

5(27) + 4 = 2y - 9

135 + 4 = 2y - 9

139 = 2y - 9

148 = 2y

y = 74

As always, lmk if you have questions.

Answer:

21) 18

22) 9

Step-by-step explanation:

21) (4+8)/2*3 = 18

22) (8+10)/2 = 9

Answer

2/3

Step-by-step explanation:

there are only 3 kinds of candy here and since they all have a equal number they have a chance of 1/3 each but since it is starburst OR jolly its 2/3

Answer:

i THINK anyson earned 1742.4 a month in June but I’m a middle schooler so

Step-by-step explanation:

The internet

Find total centimeters by multiply total steps by centimeters per step:

15 x 60 = 900 centimeters total needed.

Convert centimeters to meters by dividing total centimeters by 100:

900/100 = 9

He will need 9 meters

Answer:

Ms nelson need 900 centimeters of carpet

Step-by-step explanation:

15 times 60 cm = 900cm

Answer:

0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of 116 cm and a standard deviation of 5.4 cm.

This means that [tex]\mu = 116, \sigma = 5.4[/tex]

Find the probability that one selected subcomponent is longer than 118 cm.

This is 1 subtracted by the pvalue of Z when X = 118. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{118 - 116}{5.4}[/tex]

[tex]Z = 0.37[/tex]

[tex]Z = 0.37[/tex] has a pvalue of 0.6443

1 - 0.6443 = 0.3557

0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.

Answer:

[see below]

Step-by-step explanation:

-7n is getting subtracted from 15.

7n is 'the product of 7 and n'

15-7n could be 'the difference of fifteen and the product of 7 and n'. The correct answer choice would be the one closest to this/

Hope this helps.

Answer:

The tree grows 3,14 centimeters per year

Answer:

A) Ed

Explanation: How i got it was by first looking at what Eric’s weight loss program, I then guessed he lost about the same amount of weight each week (1.5), i then did that times 4 since that’s how many weeks were recorded on the chart which gave me 6. I then looked at the chart again and saw that Ed first started with the weight 205 and by week 4 his weight was 197, I then did 205-197 which equals 8, I then decided that Ed lost more weight.

Answer: Ed

Step-by-step explanation:

Answer: 600 sq cm

Step-by-step explanation: Each side is 100 cm^2, and there are a total of 6 sides. 100•6=600.

Hope this helps!

Answer:

SA = 600

Step-by-step explanation:

A cube has six sides.

The formula to find the SA of a cube is 6a^2

6 x 10^2 = 6 x 100 = 600

Answer:

The rectangle is a parallelogram.

Step-by-step explanation:

Parallelograms are shapes with two pairs of parallel sides.

The rectangle is the only shape that meets those requirements.

Answer:

720

Step-by-step explanation:

First you divide 600 by 5 to get 1/5 if the 600 which is 120

Then you add the 120 to the 600 which is your answer 720

Answer

d

Step-by-step explanation: The chain rule states that the derivative of f(g(x)) is f'(g(x))⋅g'(x). In other words, it helps us differentiate *composite functions*.

Answer:

reflection reflection

Step-by-step explanation:

rotation doesn't make sense and there is no indication of a center of rotation.

so the obvious answer is reflection reflection

Answer:

srry can't help with out the picture, but I would think that if it wasn't the for sure amount that it wouldn't work

The p-value from the appropriate t-test illustrated is 0.1802.

The p-value simply means the measure of the probability that an observed difference will have occured due to chance.

In this case, from the complete question, the p-value from the test from the table illustrated is 0.1802. The lower the p-value, the higher the statistical significance.

Learn more about p-value on:

https://brainly.com/question/4621112