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)
Answers
Answer:
Part A
x is 46°
Part B
Alternate angles are angles that are in relatively opposite locations relative to a transversal
Step-by-step explanation:
Part A
∠DRP = 110° (Given)
∠QPA = 64° (Given)
∠QPR =
Given that AB is parallel to CD, we have;
∠DRP is congruent to ∠APR (Alternate angles to a transversal RP of parallel lines AB and CD)
Therefore, ∠APR = 115°
∠APR = ∠QPA + ∠QPR (Angle addition postulate)
∴ 115° = 64° + ∠QPR
∠QPR = 110° - 64° = 46°
x = 46°
Part B.
Given that AB is parallel to CD, the lines common (that intersects) both lines are the transversal lines
The angles formed between the parallel lines and the transversal lines have special relationships based on their position with respect to each other
In the question, the angle 110° given between CD and the transversal RP, is found to at an alternate position to the angle ∠APR between the same transversal RP and AB and given that alternate angles are always equal, angle ∠APR is therefore also equal to 110°.
Related Questions
Identify the initial value and rate of change for the graph shown
A coordinate plane graph is shown. A line passes through the y-intercept at 1 and through the point 5 comma 4.
Initial value: 1, rate of change 3 over 5.
Initial value: 3 over 5., rate of change: 0
Initial value: 1, rate of change 5 over 3.
Initial value: 5 over 3., rate of change: 0
Answers
50 points !! Select the correct answer.
Which table represents the increasing linear function with the greatest unit rate?
A.
x y
2 16
5 10
B.
x y
2 14
6 12
C.
x y
2 -24
5 -15
D.
x y
2 -12
6 -16
E.
x y
2 -19
6 -17
Answers
Answer:
C.
x y
2 -24
5 -15
Step-by-step explanation:
We need to find the slope for each table
A.
x y
2 16
5 10
m = (y2-y1)/(x2-x1) = (10-16)/(5-2) = -6/3 = -2
B.
x y
2 14
6 12
m = (y2-y1)/(x2-x1) = (12-14)/(6-2) = -2/4 = -1/2
C.
x y
2 -24
5 -15
m = (y2-y1)/(x2-x1) = (-15--24)/(5-2) = (-15+24)/3 = 3
D.
x y
2 -12
6 -16
m = (y2-y1)/(x2-x1) = (-12--16)/(6-2) = (-12+16)/4 = 1
E.
x y
2 -19
6 -17
m = (y2-y1)/(x2-x1) = (-17--19)/(6-2) = (-17+19)/4 = 1
The greatest unit rate is the largest slope
Sathish is going on a 2100 km road with 2 friends, whom he will pick up 150 kilometers after he begins the trip and drops off when 150 kilometers are remaining. The car consumes 6 liters of gas for every 100 kilometers and gas costs $1.20 per liter.
Sathish will pay for all the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together.
How much will Sathish pay for the gas?
Answers
Answer:
Sathish will pay for $50.40
simplify
(x^a.x^b)^a-b*(x^b.x^c)^b-c*(x^c.x^a)^c-a
step by step..
Answers
Answer:
= x(a+b)(a-b) . x(b+c)(b-c) .x(c+a)(c-a)
Answer:
x(a+b)(a-b) . x(b+c)(b-c) .x(c+a)(c-a)
Hope it helped!
Can someone solve this please.
Answers
Answer:
find fist the lcm and gcf for each data
Eight hundred tickets are sold for a play. Thirty-five percent of those tickets were sold in advance. Which equation can be used to find the number of tickets sold in advance? StartFraction 800 divided by 8 Over 35 divided by 8 EndFraction = StartFraction 100 Over 4.375 EndFraction StartFraction 100 divided by 8 Over 800 divided by 8 EndFraction = StartFraction 12.5 Over 100 EndFraction StartFraction 35 times 8 Over 800 times 8 EndFraction = StartFraction 280 Over 6400 EndFraction StartFraction 35 times 8 Over 100 times 8 EndFraction = StartFraction 280 Over 800 EndFraction
Answers
Answer:
0.35(800)=x
x=number of tickets sold in advance
Step-by-step explanation:
Answer:
Divide 35÷100 which equals 0.35 then multiply 0.35×800 which equals 280 so the answer is 280 so the equation is 0.35×800=280.
Step-by-step explanation:
The blue shape is a dilation of the black shape. What is the scale factor of the dilation? Simplify your answer and write it as a fraction or whole number.
Answers
Answer:
3 or 3/1 (the 1 is the denominator)
Step-by-step explanation:
the shape got 3 times bigger. let me know
Which of the following is a step in simplifying the expression x multiplied by y to the power of 2 over x to the power of negative 3 multiplied by y to the power of 3, the whole to the power of negative 4.? (5 points)
x to the power of negative 4 multiplied by y to the power of negative 2, the whole over x to the power of negative 7 multiplied by y to the power of negative 1.
x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of 12 multiplied by y to the power of negative 12.
x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of negative 3 multiplied by y to the power of 3.
x to the power of negative 4 multiplied by y to the power of negative 2, the whole over x to the power of negative 3 multiplied by y to the power of 3.
Answers
Answer:
x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of negative 3 multiplied by y to the power of 3
Step-by-step explanation:
negative3.5 degree F, 5 degree F, 1.5 degree F, negative 0.5 degree F, negative 2 degree F, 2.5 degree F, negative 4 degree F. Part 1: Weather Analysis Plot and label the temperatures on a number line. You can create the number line by using a drawing program, by drawing it by hand and sending in a picture, or by describing in detail how the completed number line should look.
Answers
lets evaluate 81^-3/4.
Answers
Answer:
1/ 27
Step-by-step explanation:
[tex] = 81^{ \frac{-3}{4} } [/tex]
[tex] = (\frac{1}{81}) ^{ \frac{3}{4} } [/tex]
[tex] = (\frac{1}{3}) ^3 [/tex]
[tex] = \frac{1}{27} [/tex]
does this make sence to anyone
Answers
can anyone help me I'm confused?
Answers
Answer: 10 inches
Step-by-step explanation:
If the two triangles are similar, that means their sides are proportional to each other.
JK = 15JL = 15 + 6 = 21JM = 14The proportion would look like this:
[tex]\frac{JK}{JL} =\frac{JN}{JM}\\[/tex]
Substitute in the values:
[tex]\frac{15}{21} =\frac{JN}{14}[/tex]
Cross-multiply and solve for JN:
[tex]21*JN=15*14\\JN=\frac{15*14}{21} =\frac{210}{21} =10[/tex]
Answer:
10 inches
Step-by-step explanation:
JM=14<JL=21
And you know that JN=X<JK=15
You also know that JM=14>JN=x
KL=6 so NM=4
JM= (14) - NM (4)= 10
Hope this makes sense, and can help!
PLEASE HELP THIS QUESTION IS SO ANNOYING!!
Answers
Explanation- just did it :)
From an 18-pound cut of meat, Mr. Rand cuts off steaks weighting 1 pound 15 ounces, 3 1/8 pounds, and 4 1/2 pounds. He divides up the rest into 9-ounces patties and sells them at 3 for $3.12. How much money does he receive for the patties?
Answers
Answer is in the picture
The amount of money received by him will be $15.60.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division
The amount will be calculated as follows:-
The cut off amount = 18 - ( 1(15/16) -3(1/8)-4(1/2) = 8(7/16)
Now 16 ounces make a pound so divide by 16 we get:-
(135/16) ÷ ( 9 / 16 ) = ( 135/16 ) x ( 16 / 9 ) = 15
Dividing 15 by 3 we get 5 packs of 3 patties for $3.12
So amount = 3.12 x 5 = $15.60
Therefore the amount of money received by him will be $15.60.
To know more about Expression follow
https://brainly.com/question/723406
#SPJ2
How would you do this?
Answers
Marly gets 5 gems every 5 minutes. If Marely has 180 gems, how many minutes have passed?
Answers
5 gems = 5 minutes
1 gems = 5 divided by 5 = 1 minute
180 gems = 1 x 180 = 180 minutes
180 minutes have passed.
Answer:
180
Step-by-step explanation:
It is one gem per minute.
Rewrite 24.5 as a mixed number in lowest terms.
Rewrite 0.85 as a fraction in lowest terms.
Answers
Answer:
49/2, 17/20
Step-by-step explanation:
24.5=245/10=245÷5/10÷5=49/2
0.85=85/100=85÷5/100÷5=17/20
Answer:
Mixed numbers
a) 24 1/2
b) 85/100 = 17/20
Step-by-step explanation:
a) as they asked mixed number we only have to create a fraction for the decimal 0.5 = 1/2 and rewrite 24 1/2 = 24.5
If the question asked for lowest terms 24/5 then 24.5% = 245/1000 = 49/200
b) rewrite 0.85 as a fraction in lowest terms
0.85 = 85% = 85/100 = 17/20
HELP PLEASE!!! i will give brainly! +10 points
Suppose each cube in this right rectangular prism is a -inch unit cube.
What are the dimensions of the prism?
What is the volume of the prism?
Answers
Answer:
1 number 1
Step-by-step explanation:
1 because of 1 of 1
Answer:
1000 hope its right
Step-by-step explanation:
8 · Find the volume of the rectangular prism with the dimensions 11 by 9 by 3. 23 in 297 in 318in 159in I think the answer is c 318 in. geometry A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm.
Evaluate 4 - x, when x = -6
Answers
Answer:
10
Step-by-step explanation:
4--6
4+6=10
10
step-by-step
4–6
4+6
In which line is an error first made when solving the equation below? -18 = 19z -9
Line One = z -9
Line Two = 11 = z
Line Three = z = 11
* Choose one of the following, A, B, C, D.*
A) no mistake was made
B) line 3
C) line 2
D) line 1
Answers
15 POINTS!!!
Identify the initial value and rate of change for the graph shown
A coordinate plane graph is shown. A line passes through the y-intercept at 1 and through the point 5 comma 4.
Initial value: 1, rate of change 3 over 5.
Initial value: 3 over 5., rate of change: 0
Initial value: 1, rate of change 5 over 3.
Initial value: 5 over 3., rate of change: 0
Answers
Answer:
Step-by-step explanation:
y=mx+b
y-intercept= 1
b=1
point (5,4)
x=5
y=4
y=mx+b
4=m(5)+1
5m=3
m=3/5
rate of change = 3/5
Which of the equations is graphed below?
Answers
Answer:
D
Step-by-step explanation:
Slope of -2 that's going through y=1
so y=-2x+1
pls help find the angle
Answers
-2x=-130
X=60.5
Hehehdhdhrhhdhdhdhdbdhhdhd X=60.5
A) what is the simplified product of seven-fourths divided by eight-fifths as an improper fraction
B) what is this number as a mixed number
Answers
Answer:
A)First were going to put our numbers in perspective.
[tex]\frac{7}{4}[/tex] ÷ [tex]\frac{8}{5}[/tex]
But to find the improper fraction, we have to cross multiply these numbers.
[tex]\frac{7}{4}[/tex] × [tex]\frac{8}{5}[/tex]
7 x 5 = 35.
4 x 8 = 32.
Now we have our improper fraction is [tex]\frac{35}{32}[/tex]
B)To turn our improper fraction into a mixed number, we will use division.
We know that the 32 can only go into 35 one time. We also know that the bottom number always stays the same. So our equation will look somewhat like this.
[tex]1\frac{?}{32}[/tex]
Now to fine the top number we will have to subtract 35 from 32 because we already know that 32 can go into 35 one time, so 35 - 32 = 3. So are mixed number will look like this.
[tex]1\frac{3}{32}[/tex]
This is our answer!
Answer:
7/4 ÷ 8/5
A. First, we need to do the reciprocal of 8/5.
7/4 x 5/8 = 35/32
B. Now, we need to convert it into a mixed number. Divide 35 by 32. 32 goes into 35 one time. 35 - 32 = 3, so remainder 3. We use 1 as the whole number since 32 goes into 35 one time. We use the remainder 3 as the numerator, and 32 as the denominator.
1 3/32
Hope this helps u have a great day :)
Pls help
Spam answers will be reported
Give a good explanation
Answers
Answer:
X = 20
The picture explains my answer
Answer:
The answer is X = 20
Help me please! It’s due in like 10 minutes and I’m barely on the 8th question !!!
Answers
Answer:A
Step-by-step explanation:campbella helped
Answer:
A
Step-by-step explanation:
6(5-3x) -5(3x+2)
multiply each expression by the number outside the bracket
6×5=30,6×-3x=-18x -5×3x=-15x,-5×+2=-10
30-18x-15x-10
group the like terms
30-10-18x-15x
20-33x
Which sequence of transformations will change figure PQRS to figure P′Q′R′S′? (5 points)
A coordinate grid is labeled from negative 5 to 0 to 5 on both x and y axes at increments of 1. Figure PQRS has P at ordered pair 1, 2, Q at 2,1, R at 3,2, S at 3,3.
Figure P prime Q prime R prime S prime has P prime at ordered pair 1,negative 2, Q prime at 2,negative 1, R prime at 3,negative 2 and S prime at 3,negative 3.
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection about the x-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection about the y-axis
Answers
Answer:
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis
Step-by-step explanation:
Leon used the number line below to show -5 + 4. explain what is wrong with his model.
Answers
Step by step:
Hope that help a little I guess.
find the value of a and be when x is 12 a= 5x^2/2 b= 2x^2(x-5)/10x
Answers
Answer:
a=360
b=168
Step-by-step explanation:
a=5×12×12/2=5×12×6=360
b=2×12×12×(12-5)/10×12=2×12×7=14×12=164
Please help! I’m confused.
Answers
Step-by-step explanation:
We need to use the formula :-
2 (l + b) × h ---> For Lateral surface area
2(30+30) h = 7200
2×60×h = 7200
120 × h = 7200
h = 7200/120
h = 60 cm
Now, volume = l×b×h
= 30×30×60
= 54000 cm³ is the required answer.
Hope it helps! :D
Answer:
54000cm³
Step-by-step explanation:
7200=4*30x，so x=60
In other words, the length of the vertical side is equal to 60cm
The volume inside the kite=60*30*30=54000cm³
