Question 3 (10 points)
(02.06 MC)

In the figure shown, line AB is parallel to line CD.

Part A: What is the measure of angle x? Show your work. (5 points)

Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)

AB and CD are parallel lines, and PQ and PR are transversals which intersect AB at P and CD at Q and R. Angle APQ is labeled as 65 degrees, angle QPR is equal to x, angle PRD is equal to 120 degrees.

Answer:

400 is the answer

Step-by-step explanation: do the math

Answer: 114%

Step-by-step explanation:

From the question, we are informed that it usually takes Roger's father 35 minutes to get to work but that after the snowstorm it took him an hour and 15 minutes to get to work.

We should first convert 1 hour, 15 minutes to minutes. Since 60 minutes = 1 hour; Therefore, 1 hour, 15 minutes = 60 minutes + 15 minutes = 75 minutes.

The percent increase in his commute time to work will then be:

= [(75 - 35) / 35] × 100

= 40/35 × 100

= 114.28571%

= 114%

The percentage increase is 114%.

Answer:

h (5) = -4 .........

Answer: 1  - 2 + 4 - 8 + 16

Step-by-step explanation:

Answer:

-1-2-4-8-16

Step-by-step explanation:

(-2⁰)+(-2¹)+(-2²)+(-2³)+(-2⁴)

-1-2-4-8-16

-31

Answer:

m=-42

Step-by-step explanation:

hope this helps:)

Answer:

-42

Step-by-step explanation:

Subtract 11 from both sides making it 2m=-84

Divide 2 from both sides making the expression m=-42

Answer:

y = 15x+32

Step-by-step explanation:

Given

y to be the total minutes Andrew will play video games today

x is the total number of games played after school

If he wants to play an additional 15 minutes each of x games after school today, the total minutes he will use for the x games will be 15* x = (15x)minutes

We are told that he has initially spent 32minutes on video games. hence;

Total minutes Andrew used on games y = (15*x)+32

The required equation will be y = 15x+32

Answer:

sneha was owing one of her friends 9$, she asked them for another 5 dollars

now she owes 14

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the percentage of money to be paid is 125% which is equivalent to 1.25 in fraction

The equivalent expression is" 1.25x because adding 25% to the cost of the haircut is the same as multiplying the cost by 1.25. Option B is correct.

It is defined as the combination of constants and variables with mathematical operators.

It is given that, Dillon pays x dollars to get a haircut. He gives the stylist a 25% tip. The expression representing his total cost is,x + 0.25x

Expressions that function identically while having distinct appearances are called equivalent expressions. If two algebraic expressions are equivalent, then they both have the same result when the same value of the variable is entered.

=x + 0.25x

=1.25x

Thus, the equivalent expression is" 1.25x because adding 25% to the cost of the haircut is the same as multiplying the cost by 1.25. Option B is correct.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ6

Answer:

x=5 y=38

Step-by-step explanation:

180 degrees total minus the right angle (90) = 90... divide that by the two angels and its 45 each so for x; 45/3 = 5 for y; 45-7= 38

Answer:

y=−3x+83

x= −1 /3 y+ 83 /3

Step-by-step explanation:

right angles=90

triangles=180 degrees

180=3x+y+7+90

solve for x

3x+y+97=180

Add -y to both sides

3x+y+97+−y=180+−y

3x+97=−y+180

Add -97 to both sides

3x+97+−97=−y+180+−97

3x=−y+83

Divide by 3

x= −1 /3 y+ 83 /3

now solve for y

180=3x+y+7+90

Add -3x to both sides

3x+y+97+−3x=180+−3x

y+97=−3x+180

Add -97 to both sides

y+97+−97=−3x+180+−97

y=−3x+83

Answer:

The change should Sara receive from the $10 bill is $3.56.

Step-by-step explanation:

Given:

The table shows the prices of some breakfast items at a restaurant.

Item                                      Price

One egg                               $1.69

Slice of bacon                      $1.49

Glass of orange juice           $1.09

Sara ordered 2 eggs, a slice of bacon, and  a glass of orange juice for breakfast.

The sales tax for the order was $0.48.

She paid for her breakfast with a  $10 bill.

Now, to find the change should Sara receive from the $10 bill.

Bill for the Sara's breakfast:

2 eggs =  2 x 1.69 = 3.38

A slice of bacon = $1.49.

A glass of orange = $1.09.

The sales tax = $0.48.

Total bill =  3.38 + 1.49 + 1.09 + 0.48 = 6.44

Sara paid for the breakfast bill = $10.

Now, to get the change Sara should receive we subtract the amount of bill from the money Sara paid for the bill:

sara paid for the breakfast bill - total bill

=10 - 6.44

=3.56

Therefore, the change should Sara receive from the $10 bill is $3.56.

hope it helps!

Answer:

9.2 but I am not sure because it shows that 8.5 so yeah

Step-by-step explanation:

HOPE THIS HELPS

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

Explanation:

Check out the diagram below

In that diagram, I've marked the highest and lowest bars with red ink.

The range is simply the difference of the highest and lowest values

So,

range = max - min

range = 8.4 - 0.8

range = 7.6

The answer is choice A.

Answer:

x=1.2,y=3.4

Step-by-step explanation:

Answer:

=(-6/11,-1/11)

Step-by-step explanation:

Answer:

y = 18

Step-by-step explanation:

y = 2(4) + 10

y = 8 + 10

y = 18

Answer:

Graph is in the picture below

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

drdbbd

Answer:

Answer is 3

3 is the answer

Answer:

the answer is 3!!!!!!!!!

Step-by-step explanation:

is correct on EDGE jus did the test review

Answer:

A: 0.55 < [tex]\frac{6}{9}[/tex]

C: 0.70 < [tex]3\frac{4}{5}[/tex]

D: 5 < [tex]2\frac{3}{4}[/tex]

Step-by-step explanation:

Turn all the fractions into decimals.

A: 0.55 < 0.67 (Correct)

B: 5.15 = 5.33 (Incorrect)

C: 0.70 < 3.8 (Correct)

D: 2.5 < 2.75 (Correct)

Answer:

Its true

Step-by-step explanation:

Answer:

Uh yes it is true

Step-by-step explanation

I honestly don't know if you are trolling me or really have a confusion

Answer:

the answer is 12 because the distance between-12and0 is -12

Answer:

12981

Step-by-step explanation:

Given that :

Initial number of residents = 12575

Yearly growth rate (r) = 1.6%

Population in 2 years :

Using the relation :

Population in t years P(t) :

P(t) = initial population * (1 + growth rate)^t

t = time

Population in 2 years :

P(2) = 12575 * (1 + 0.016)^2

P(2) = 12575(1.016)^2

= 12575 * 1.032256

= 12980.6192

= 12981

Im guessing the equation you saying is (1000-322) / (72% of 21983)

When answering each of them, the equation was simplified to:

678 / 15827.76 = 0.04283613094????

Im guessing this is the wrong equation so just comment the right one and ill change it-

Answer:    x=- 17 / 8

Step-by-step explanation:

1

0

(

+

1

)

=

2

−

7

{\color{#c92786}{10(x+1)}}=2x-7

10(x+1)=2x−7

1

0

+

1

0

=

2

−

7

{\color{#c92786}{10x+10}}=2x-7

10x+10=2x−7

2

Subtract

1

0

10

10

from both sides of the equation

3

Simplify

4

Subtract

2

2x

2x

from both sides of the equation

5

Simplify

Answer: -17/8 negative seventeen over eight

Step-by-step explanation:

Answer:

18 per min and 0.3 per second

Step-by-step explanation:

Per minut --> 45/2.5 = 18 words per minut

Per sec --> 2.5 mins*60 secs = 150 sec, then 45/150 = 0.3 words per second

Best regards

Answer: The answer is D.

Step-by-step explanation:

Answer:

There are 8 erasers in the box

Step-by-step explanation:

given that the Ratio of pencils to erasers is  3:2

No matter how many pencils and erasers are there the ratio will simplify to the given ratio.

Let x be the number of erasers when there are 12 pencils

The ratio of 12 pencils to x erasers will be same 3:2

Putting it mathematically

[tex]\frac{pencils}{erasers} = \frac{pencils}{erasers}\\\frac{12}{x} = \frac{3}{2}\\12 * 2 = 3x\\3x = 24\\\frac{3x}{3} = \frac{24}{3}\\x = 8[/tex]

Hence,

There are 8 erasers in the box

Answer:

y=-4/3x + 22/3

This line goes through both points

Let me know if you need any more help! :)

Answer: (y^{2}x^{3}⋅5)/4

Step-by-step explanation:

Convert to Radical Form

    [tex](5x^3y^2)\frac{2}{8}[/tex]

Reduce the expression [tex]\frac{2}{8}[/tex] by cancelling the common factors.

Factor 2 out of 2.

    [tex]5x^3y^2\frac{2(1)}{8}[/tex]

Factor 2 out of 8.

     [tex]5x^3y^2 \frac{2(1)}{2(4)}[/tex]

Cancel the common factor.

     [tex]5x^3y^2 \frac{1}{4}[/tex]

Combine 5 and [tex]\frac{1}{4}[/tex].

     [tex]x^3y^2\frac{5}{4}[/tex]

Combine [tex]x^{3}[/tex] and [tex]\frac{5}{4}[/tex] .

     [tex]y^2\frac{x^3(5)}{4}[/tex]

Combine [tex]y^{2}[/tex] and [tex]\frac{x^3*5}{4}[/tex]

     [tex]\frac{y^2x^3*5}{4}[/tex]

Answer:

16/18

8/9

Step-by-step explanation:

the answer is B) -8/9

Answer:

jsosksnssixixjzj

Step-by-step explanation:

OK OK OK. dkdkdmx

sozknz

xkxk

PLZ MARK ME AS BRAINLIST

Answer:

congrats for the car!

Step-by-step explanation: