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
I need help with this question. Question in image.
Show working out to answer
Answers
Answer:
Step-by-step explanation:
38
After that do 30x70 so number of students times the 70% mean which gives 2100.
Now take the 2100 - 1240 = 860.
After that 860/10 = 86%
20 boys get 62 and 10 girls get 86 this all will equal to 2100.....2100/30 = 70
So the final answer is 86%
ple heeeeelp TT eeeee
Answers
Answer:
you're right it is ASA
Step-by-step explanation:
the angles that correspond are both next to one side
Answer:
Angle R= Angle V (given)
Angle Q = Angle T (given)
RQ = VT (given)
Therefore ∆PQR is congruent to ∆UTV
Evaluate the expression shown below and write your answer as a fraction in simplest form.
Answers
Answer:
39/80
Step-by-step explanation:
Answer:
ok so first we have to make these fractions into the same fraction on the bottom
140/320+16/320=0.4875 which as a fraction is 39/80
Hope This Helps!!!
Hello! Please help ASAP!!!
Turn this problem into a Pythagorean Theorem diagram
DRAW A DIAGRAM!! I ONLY NEED THE DIAGRAM
Aleena’s car is 7 miles north from Starbucks. Aryona’s car is located 4 miles west from Aleena. How far is Aryona from the Starbucks.
Answers
Answer:
So put the car at a dot at (0,7)
Aleena is at (4,7)
the starbucks is at (0,0)
Hope This Helps!!!
Need Help!!
Graph the first 6 terms of a sequence where a1 = −3 and d = 4.
Answers
Answer:
thats what i got hope you have a good day :)
Step-by-step explanation:
a1=3
d=-10
………………….
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.
Correct answers only!
After conducting a survey of all her classmates Midge discovers that the amount of money everyone spends buying books each month has a mean of $30. What does the mean say about the amount of classmates spend on books?
Half of her classmates spent exactly $30 per month buying books.
Half of your classmates spent more than $30 per month buying books.
The majority of her classmates spent $30 per month buying books.
If the amount spent on books per month by all her the classmates is leveled, the amount will be $30.
Answers
Answer:
C: The majority of her classmates spent $30 per month buying books.
Step-by-step explanation:
The mean is the average of the numbers -> its C
Answer:
C
Step-by-step explanation:
Is the triangle obtuse, acute, equilateral or right?
Answers
9514 1404 393
Answer:
obtuse
Step-by-step explanation:
The law of cosines tells you ...
b² = a² +c² -2ac·cos(B)
Substituting for a²+c² using the given equation, we have ...
b² = b²·cos(B)² -2ac·cos(B)
We can subtract b² to get a quadratic in standard form for cos(B).
b²·cos(B)² -2ac·cos(B) -b² = 0
Solving this using the quadratic formula gives ...
[tex]\cos(B)=\dfrac{-(-2ac)\pm\sqrt{(-2ac)^2-4(b^2)(-b^2)}}{2b^2}\\\\\cos(B)=\dfrac{ac}{b^2}\pm\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]
The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...
[tex]\cos(B)=\dfrac{ac}{b^2}-\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]
The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.
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!
Pls help on 1 and 2. I have no idea what I'm supposed to do.
Answers
6th grade math
(–27) ÷ (–9 ÷ 1/9)
Answers
[tex]\displaystyle\ \boldsymbol{(-27)\div(-9\div\frac{1}{9})=-27\div(-9\cdot9)=} \\\\\boldsymbol{-27\div-81=\boxed{\frac{1}{3}} }}[/tex]
(25 POINTS) (TIMED) Which statements about this system of equations are true? Check all that apply.
-x + 6 y = 16
8 x - 6 y = -2
O The x-variable will be eliminated when adding the system of equations.
O The y-variable will be eliminated when adding the system of equations.
O The sum of the system of equations is Negative 8 x = 14.
O x = 2
O y = 3
O There is only one solution to the system of equations.
Answers
make me the brainliest:))<3
Marcus was training for a 2,000 meter race. He had to alternate between running and walking.
Problem
If Marcus ran 1,600 meters, which statement is true?
Answers
Answer:
if marcus ran 1,600 meters that means he walked 400 meters
Step-by-step explanation:
Help :')
What integer does the arrow indicate?
-9
-14
-3
6
Answers
Answer:
-9
Step-by-step explanation:
Doesn't it already say -9...
Is the following question a statistical question:
How far do students live from their school building?
In complete sentences, explain why or why not.
Answers
Answer:
they live 10 miles away form school.
The solution is : Is in, general, how tall are giraffes? is a :
Statistical question.
What is statistic?A statistic (singular) or sample statistic is any quantity computed from values in a sample which is considered for a statistical purpose. Statistical purposes include estimating a population parameter, describing a sample, or evaluating a hypothesis.
Given question
Is in, how tall are giraffes?
Statistical question is that type of question which have more than one possible answers. The answer of statistical question is the collection of various points of data. The answer of statistical question depends on variety and situations. The answer of statistical question may be range . Answer of statistical question are more than one.
Non statistical question is that type of question which have only one answer.
For example, the value of 2+2
Answer: 2+2=4
It has only one answer .Therefore , it is non statistical question.
Given question is a statistical question because the height of all giraffes are not same . Height of some giraffes are same and some giraffes have same height. The height of female giraffes are smaller than the height of male giraffes.
The range of height of male giraffes lies between 16 feet to 20 feet.
learn more on statistic:
https://brainly.com/question/29257078
#SPJ3
complete question:
Is in, general, how tall are giraffes? A statistical question or non statistical question
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
(08.05)The box plot shows the number of years during which 24 colleges have participated in a local college fair:
Years of Participation
0
10
5
Years
At least how many schools have participated for 2 years or fewer?
2schools
4schools
6schools
7 schools
Answers
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
Plz help, asap!!
This is a triangular prism
perimeter of the base is:
Height is:
Base area is:
Volume is:
Surface area is:
Answers
Answer:
Perimeter of base: 50 cm
Height: 30 cm
Base area: 60 cm
Volume: 21,600 cm
Surface area: I am sorry I forget how to do surface area, but I hope everything else helps.
Step-by-step explanation:
perimeter of base: 50 cm
13+13=26+24=50
Height: 30 cm
already shows height.
Base area: 60 cm
1) 24/2=12 2) 5*12=60
Volume: 21,600 cm
Length*Base*height/2=24*60*30=43,200/2=21,600
surface area:
Sorry I forget how to do surface area.
Answer:
Perimeter of base: 50 cm
Height: 30 cm
Base area: 60 cm
Volume: 21,600 cm
Surface area: I am sorry I forget how to do surface area, but I hope everything else helps.
Step-by-step explanation:
perimeter of base: 50 cm
13+13=26+24=50
Height: 30 cm
already shows height.
Base area: 60 cm
1) 24/2=12 2) 5*12=60
Volume: 21,600 cm
Length*Base*height/2=24*60*30=43,200/2=21,600
Does anyone know how to do this?
Answers
Answer:
201.0619298297
Step-by-step explanation:
arc length formula
[tex]\pi \: \times r ^{2} = \\ \pi \times 8 ^{2} [/tex]
Use the drop-down menus to complete each equation so the statement about its solution is true.
Answers
Answer:
7x+5
Step-by-step explanation:
2x+5+2x+3x
=2x+2x+3x+5
=7x+5
Drag each tile to the correct box.
Find the decreasing functions and arrange them in order from least to greatest y-intercept.
y = 2.5x + 10
y = -0.5x + 0.5
y = -4.5x + 3
y = -0.5x − 5
y = -2x + 7
y = -5x − 12
↓
↓
↓
↓
Answers
y = -5x - 12
y = -0.5x - 5
y = -0.5x + 0.5
y = -4.5x + 3
y = -2x + 7
y = 2.5x + 10
Answer:
from least to greatest y-int
y = -5x - 12
y = -0.5x - 5
y = -0.5x + 0.5
y = -4.5x + 3
y = -2x + 7
y = 2.5x + 10
Step-by-step explanation:
pls answer my question i am not sure
Answers
Answer:
Calculation: 3 1/2 - 4 1/7 - fraction calculator. ... How do you solve fractions step by step? ... to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.
Answer: 288 √3
—————-
13
Step-by-step explanation:
Please help will give brainliest
Answers
Answer:
B) 28 inches.
Step-by-step explanation:
After 1/8 of a ribbon is thrown away, the remaining part is cut into two pieces whose lengths are in the ratio 4 : 5.
And we want to find the length of the shorter ribbon from the two remaining pieces.
We are given that 9 inches of the original ribbon was thrown away. Since this is 1/8 of the total length, we can write that:
[tex]\displaystyle \frac{1}{8}L=9[/tex]
Where L represents the total length of the ribbon.
Solve for the total length:
[tex]\displaystyle L=72\text{ inches}[/tex]
So, the original length of the ribbon was 72 inches.
Since we threw away 9 inches of it, we now only have 63 inches.
This is then cut into two pieces in a ratio of 4 : 5. Let x represent the constant. Thus:
[tex](4x)+(5x)=63[/tex]
Solve for x:
[tex]9x=63\Rightarrow x=7[/tex]
Hence, the two remaining ribbons measure 28 inches and 35 inches.
Therefore, our answer is B.
if 29 cos 0=21 find the value of 1/sin0-tan0..
Answers
Answer:
Middle School mathematics still murky?
Clear things up with an instant 1 on 1 tutoring sesh
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:
Choose all the factors of 5. (Check all that apply.)
1
3
5
2
4
Answers
Answer:
5 and 1
Step-by-step explanation:
5 = 5 * 1
1 - 5
5. - 1
Which of the following is the solution to the inequality below? 5x - 6 [tex]\leq[/tex] 14
A) x [tex]\leq[/tex] - 4/5
B) x [tex]\geq[/tex] 4
C) x [tex]\geq[/tex] - 4/5
D) x [tex]\leq[/tex] 4
Answers
Answer:
D. x [tex]\leq[/tex] 4
Step-by-step explanation:
1. You add 6 to each side
2. Divide each side by 5 to isolate x
Answer:
answer is A.
Step-by-step explanation:
-5x-10 <20
Group like terms
-5x < 20 + 10
-5x < 30
Divide both sides by -5
The sum of twice a number and 13 is 47. Find the number.
Answers
Answer: 17
Step-by-step explanation:
In this problem, the phrase "a number" can be interpreted as a variable. In this case, let the variable be "x."
Thus, "twice a number" = "2x"
"and 13" = "+ 13"
"is 47" = "= 47"
Thus, the problem is simply 2x + 13 = 47.
Then, simply subtract 13 from both sides to get 2x = 34.
Then, simply divide both sides by 2 to get x = 17.
Because "the number" is "x," the number is 17.
Hope it helps :) <3 and lmk if you need more help
17
Step-by-step explanation:
you represent the unknown by a variable
for example X
2x +13=47
PLEASE HELP FAST, I CANT GET IT WRONG
Answers
Answer: I think it is 12 divided by 7