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.
Answers
Answer:
X = 53
X= 115 - 62
Step-by-step explanation:
Part A: 62 + X = 115
X= 115 - 62
X = 53
Part B:
APQ + QPR = PRD
Dont copy off of me because im not for sure this is the right awnser
The measure of angle x is 55.
And to get 55 you first need to find angle BPR.
So, what you would do is 180 - 120 and that equals 60.
So, this means that angle BPR is 60 degrees.
Ok, so now to find the angle of x.
You first need to do 65 + 60 + x =180.
Since we don't know the value of x, we do 65 + 60 and that gives us 125.
So, 180 - 125 = 55.
So, X = 55.
Related Questions
A company has 2 photocopy machines. The probability that machine A will breakdown on a given day is 2%. The probability that machine B will break down is 2.5%. What is the probability that both machines will break down on a given day? Give your answer in percent.
Answers
Answer:
jsosksnssixixjzj
Step-by-step explanation:
OK OK OK. dkdkdmx
sozknz
xkxk
PLZ MARK ME AS BRAINLIST
ANSWER ASAPPP
I WILL MARK BRAINLIET
EXPALIN HOW YOU GOT WHAT U GOT PLSSS
Answers
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 $3.56.
hope it helps!
pls help! will give brainlist!
write a story that could describe the expression:
- 9 - 5x
Answers
Answer:
sneha was owing one of her friends 9$, she asked them for another 5 dollars
now she owes 14
Step-by-step explanation:
Express the following situation a a funstion: the population of a school is 800 and is decreasing at a rate of 2% per year
Answers
Answer:
400 is the answer
Step-by-step explanation: do the math
Olivia can type 45 words every 2.5
minutes. What is the unit rate of words
per minute that Olivia can type?
What would be the rate of words per second?
Answers
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
what is the expression in radical form? (5x^3 y^2) 2/8
Answers
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]
Which expression is equivalent to 3\sqrt(27)
Answers
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
Solve this math problem first you get a free crown!
what is the sum of -7/18 and -3/6
A. -4/9
B. -8/9
C. 4/9
D. 8/9
Answers
Answer:
16/18
8/9
Step-by-step explanation:
the answer is B) -8/9
2m+11=-73 what number does m=?
Answers
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
1000-322divided by 72% of 21983
Answers
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-
what the approximate solution y = −0.5x + 4 y = 1 + 2x
Answers
Answer:
x=1.2,y=3.4
Step-by-step explanation:
Answer:
=(-6/11,-1/11)
Step-by-step explanation:
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
Which expression is equivalent and why?
A. 1.025x because adding 25% to the cost of the haircut is the same
as multiplying the cost by 1.025.
B. 1.25x because adding 25% to the cost of the haircut is the same
as multiplying the cost by 1.25.
C. 1.25x because adding $25 to the haircut is the same as
multiplying the cost by 1.25.
D. x(0.25) because the cost of the haircut can be factored out.
Answers
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.
What is an expression?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
This is pre calculas summation please help lol
Answers
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
For many of us, the thought of snow brings hopes of snow days, sledding or skiing. For others it means traffic jams and shoveling. Unfortunately for Roger's father, he is in this second category. It usually takes Roger's father 35 minutes to get to work. However, after the snowstorm it took him an hour and 15 minutes to get to work. What was the percent increase in his commute time to work? Express your answer to the nearest whole number.
Answers
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%.
There are some pencils and erasers in a
box. If there are 12 pencils and the ratio
of pencils to erasers is 3:2, how many
erasers are in the box?
Answers
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
Andrew has already played 32 minutes on his video game today and wants to play an additional 15 minutes each of x games after school today. What equation can be used to find y, the total minutes Andrew will play video games today?
Answers
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
You have been working hard and saving money to buy your first used car - woo hoo! But you still need more money. (It's an expensive car!) You borrow $10,000 from the bank at a 9% rate for 5 years. How much interest will you pay on this loan? Write your answer as a number with no dollar sign.
Answers
Answer:
congrats for the car!
Step-by-step explanation:
A city has 12,575 residents the number of residents grows by 1.6% every year to the nearest whole resident what will the city's population be in 2 years
Answers
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
If the graph of the function y=h(x) contains the point (5,-4) then which of the following must be true
Answers
Answer:
h (5) = -4 .........
solve the inequality -12
Answers
Answer:
the answer is 12 because the distance between-12and0 is -12
Find the y-value given the x-value: y = 2x + 10; x = 4*
y = 2x + 10; = 4
Answers
Answer:
y = 18
Step-by-step explanation:
y = 2(4) + 10
y = 8 + 10
y = 18
1) Veronica's new car requires 12 gallons of gas to run for 100 miles. The
gas' price is $2.20 per gallon. How much will Veronica spend on gas on a
trip from Houston to Austin (160 miles). Round your answer to the
nearest cent (HUNDREDTH)
Answers
10( x + 1) = 2 x-7
??
Answers
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:
Select all statements that are true. 0.55 < 6/9 5.15 = 5 2/6 0.70 < 3 4/5 2.5 < 2 3/4
Answers
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)
SOMEONE PLEASE HELP ME
Answers
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
Graph y= -1/3 x+5 PLEASE HELP IF YOU ANSWER IT CORRECTLY I WILL GIVE YOU BRAINLIEST
Answers
Answer:
Graph is in the picture below
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
drdbbd
What was the range of the snowfall in Denver?
7.6 inches
9.2 inches
4.8 inches
5.4 inches
10 points pleas do not answer if u do not know
Answers
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.
max = 8.4 inchesmin = 0.8 inchesThe 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.
Simplify this expression.
Simplify this expression.
1 + 4.25n + 32p – 3 + (–2p) + 54n
A. 5.5n – 12p – 2
B. 9.5n + 1.5p – 2
C. 94n − 1.5p − 4
D. 3.75n – p + 1
Answers
Answer: The answer is D.
Step-by-step explanation:
is the following equation true or false 12 3/8=12+3/8
Answers
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
What is the equation of the line in point-slope form that passes through the points (4, 2) and (1, 6)?
Answers
Answer:
y=-4/3x + 22/3
This line goes through both points
Let me know if you need any more help! :)