A number changes from 50 to 76. What type of percent change is this? Calculate the percent change.

Answer:

[tex]x=62\\y=94\\z=94[/tex]

Step-by-step explanation:

Let's start by identifying relevant angle theorems for two parallel lines cut by a transversal.

Alternate Interior Angles Theorem

Two angles that are on different sides of the transversal and inside of the two parallel lines are congruent (=).

Alternate Exterior Angles Theorem

Two angles that are on different sides of the transversal and outside of the two parallel lines are congruent (=).

Same-side Interior Angles Theorem

Two angles that are on the same side of the transversal and inside of the two parallel lines are supplementary (= 180).

Same-side Exterior Angles Theorem

Two angles that are on the same side of the transversal and outside of the two parallel lines are supplementary (=180).

Corresponding Angles Theorem

Two angles on a figure that correspond are congruent (=).

_

Now, let's look at the figure and apply these theorems.

[tex]z[/tex] and [tex]86[/tex] are same-side exterior angles, meaning they're supplementary:

[tex]z+86=180[/tex]

Subtract [tex]86[/tex] from both sides of the equation:

[tex]z=94[/tex]

Now that we know our [tex]z[/tex] value, let's recognize that [tex]z[/tex] ([tex]94[/tex])corresponds to [tex]x+32[/tex], meaning they're congruent:

[tex]x+32=94[/tex]

Subtract [tex]32[/tex] from both sides of the equation:

[tex]x=62[/tex]

Let's find the value of the angle:

[tex](62)+32[/tex]

Add:

[tex]94[/tex]

Since the corresponding angles are of the same value, they're congruent, proving our [tex]x[/tex] & [tex]z[/tex] values correct.

_

Since [tex]y[/tex] and the angle represented by the expression [tex]x+32[/tex] ([tex]94[/tex]°) are alternate-interior angles, they are congruent:

[tex]y=94[/tex]

Answer:

Step-by-step explanation:

Let m be the number of miles that evelyn can run in 60 minutes.

If evelyn can run 3 miles in 40 minutes, to calculate the number of miles she can run in 60 minutes, we will apply the equality postulate as shown;

3 miles = 40 minutes

m miles = 60 minutes

Cross multiply

40* m = 3* 60

40m = 180

Divide both sides by 40

40m/40 = 180/40

m = 180/40

m = 4.5 miles

The equation that can be used to find m is 40m = 180 and the value of m is 4.5miles

Answer: I can't write it with the cromebook i'm on but the answer is in the picture

Step-by-step explanation:

Given parameters:

Distance in a year = 18000miles

Car mileage = 24miles/gallon

Average cost per gallon = $2.72 per gallon

Problem;

Find the error in her calculation;

Step 1

18,000 miles/year    

18, 000 miles = 1,500 miles/month     -- Since there are 12months in a year

12 months

Step 2

1500 miles/month

      Car mileage  = 24miles/gallon

Gallons per month; [tex]\frac{1500}{24}[/tex]   = 62.5gallons/month

125 gallons/month   this is an error and should be 62.5gallons/month

12 miles/gallon  should be 24miles per gallon

Step 3

(125 gallons/month) x ($2.72/gallons) = $340 cost/month

Correct

Step 2 is wrong because it uses wrong values.

Answer:

Option 1

Step-by-step explanation:

Wilma made a mistake is step 2. Instead of dividing by 12, she should have divided by 24. She should budget $170 per month for fuel expenses.

Answer:

2

Step-by-step explanation:

Answer:

(0,3)

Step-by-step explanation:

(0,3) is where the line intersects the y- intercept.

Answer:

56mph

Step-by-step explanation:

Answer:

I dont see the graphs

Step-by-step explanation:

But thanks for the point lol

Answer:

~63%

Step-by-step explanation:

67/106

=0.63207 × 100

= 63.207% or just 63%

Answer:

[tex]4(x + 2) = 4(x + 11)[/tex] (The first one)

Step-by-step explanation:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's get the line using 2 points of the graph:

Slope-intercept formula:

So the line is:

The line is solid and shaded area is lower part, therefore the inequality is:

Answer:

y = -x+8

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

if you divide 18 by 3 you get six and if you divide 15 by 3 you get 5, so it simplifies to 6:3 which is the same as the ratio for rings

Answer:

50

4 were incorrect

44/50 would make it 88%

Step-by-step explanation:

Answer:

1. There are 50 questions on the test.

2. He answered 4 questions incorrectly.

3. To make an 88 he would have gotten 44/50 questions right.

Answer:

46

Step-by-step explanation:

Answer:

45.7, rounded, would be 46.

Answer: 25% decrease

Step-by-step explanation:

Answer:

3.5 per

Step-by-step explanation:

14/4=3.5

Answer:

21=1/2n+5

There were 32 volunteers on the first day

Step-by-step explanation:

number of volunteers on the first day=n

21=number of volunteers on the second day

21=1/2n+5

Answer:

slope = 1

Step-by-step explanation:

y=1x+3

a lotStep-by-step explanation:

Answer:

2,240

Step-by-step explanation:

Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy.

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Investment of Sara during her 1st year of college = US$ 2,000

Duration of the investment = 4 years

Annual interest rate = 3%

2. Let's find the future value of this investment after 4 years, using the following formula:

FV = PV * (1 + r) ⁿ

PV = Investment of Sara during her 1st year of college = US$ 2,000

number of periods (n) = 4

rate (r) = 3% = 0.03

Replacing with the real values, we have:

FV = 2,000 * (1 + 0.03) ⁴

FV = 2,000 * (1.03) ⁴

FV = 2,000 * 1.12550881

FV = 2,251.02

Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy. Later you round the answer and that gives you 2,240

plz mark me brainliest

Answer:

36 degrees =x

Step-by-step explanation:

If the polygon has 4 angles then it is a quadrilateral and must have 360 degrees. you can see that all angles in that polygon added up are 10x. If 10x=360 then x= 36 degrees, 2x=72 degrees, 3x=108 degrees, 4x=144 degrees

Answer:

36 degrees =x

Step-by-step explanation:

Math

Answer:

o resultado coreto é 59.001

Answer:

you get a one cup measurments and pour milk to the 1

Step-by-step explanation:

ive done it before

Answer:

a = -4 and b = -3

Step-by-step explanation:

Step 1: Solve 3a + 5b = -27 for a

3a + 5b = -27

3a + 5b + -5b = -27 + -5b

(Add -5b go both sides)

3a = -5b- 27

3a = -5b - 27

3 3

(Divide both sides by 3)

a = -5 b - 9

3

Step 2: Substitute -5 b - 9 for a in 4a + 10b = -46

3

4a + 10b = -46

4(-5 b - 9) + 10b = -46

3

10 b - 36 = -46

3

(Simplify both sodes of the equation)

10 b - 36 + 36 = -46 + 36

3

(Add 36 to both sides)

10 b = -10

3

10/3 b = -10

10/3 10/3

(Divide both sides by 10/3)

b = -3

Step 3: Substitute -3 for b in a = -5/3 b - 9

a = -5/3 (-3) - 9

a = -4

(Simplify both sides of the equation)

Answer:

I think it is D.

Step-by-step explanation:

let's see what to do buddy...

perimeter of rectangular =

[tex]2( \: (2x + 1) + (10x) \: ) = 2(12x + 1) = 24x + 2[/tex]

Answer:

The student made an error in step 3

Step-by-step explanation:

I did it on edge 2020 and have a cat witness

Answer:

he made an mistake in problem 3

Step-by-step explanation:

have a good day

did it on edge

Answer:  Choice D) [tex]x \ge -6[/tex]

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

Explanation:

Taking the square root of a negative number leads to a nonreal result.

So we want the radicand to be 0 or positive

Set the stuff under the square root to be 0 or larger. Solve for x.

[tex]\frac{1}{3}x+2 \ge 0\\\\\frac{1}{3}x \ge 0-2\\\\\frac{1}{3}x \ge -2\\\\x \ge 3(-2)\\\\x \ge -6[/tex]

If x is -6 or larger, then [tex]\frac{1}{3}x+2[/tex] is 0 or larger leading to some real number for f(x).

The inequality sign does not flip because we multiplied both sides by a positive number. The inequality sign only flips when we multiply both sides by a negative number.

The correct verbal expression for 8n is "the product of 8 and n". therefore, option H is the correct choice.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
The correct verbal expression for 8n is "the product of 8 and n". Therefore, option H is the correct choice.

Option F "n more than 8" would be written as "n + 8".

Option G "the quotient of 8 and n" would be written as "8/n".

Option J "8 increased by n" would be written as "8 + n".

Learn more about models here:
https://brainly.com/question/22591166
#SPJ1

Answer:

x = -2, 4

Step-by-step explanation:

find the solutions by first subtracting 5 from both sides.

|x-1| = -3

create 2 equations, one with pos. 3 and one with neg. 3.

|x-1| = -3

|x-1| = 3

solve both equations. you can ignore the absolute value signs now.

x = -2

x = 4

those are your two solutions!