What value of x and y makes the 2 triangles congruent by ASA? Find the measures of angle QPR and QRP
Answers
Given:
Two triangles congruent by ASA.
To find:
The the measures of x, y, angle QPR and angle QRP.
Solution:
The triangles PQR and PSR are congruent by ASA. So,
[tex]\angle QPR\cong \angle SPR[/tex]
[tex]PR\cong PR[/tex]
[tex]\angle QRP\cong \angle SRP[/tex]
Now,
[tex]m\angle QPR=m\angle SPR[/tex]
[tex]2x+1=x+18[/tex]
[tex]2x-x=18-1[/tex]
[tex]x=17[/tex]
And,
[tex]\angle QRP= \angle SRP[/tex]
[tex]8y-4=4y+28[/tex]
[tex]8y-4y=4+28[/tex]
[tex]4y=32[/tex]
Divide both sides by 4.
[tex]y=8[/tex]
The measure of angle QPR is:
[tex]m\angle QPR=(2x+1)^\circ[/tex]
[tex]m\angle QPR=(2(17)+1)^\circ[/tex]
[tex]m\angle QPR=(35+1)^\circ[/tex]
[tex]m\angle QPR=36^\circ[/tex]
And,
[tex]m\angle QRP=(8y-4)^\circ[/tex]
[tex]m\angle QRP=(8(8)-4)^\circ[/tex]
[tex]m\angle QRP=(64-4)^\circ[/tex]
[tex]m\angle QRP=60^\circ[/tex]
Therefore, the required values are [tex]x=17, y=8, m\angle QPR=36^\circ ,m\angle QRP=60^\circ[/tex].
Related Questions
Lilbabyonme hahahahahahahahahahahahay
Answers
Answer: ghrhuydduyfgjrguh
Step-by-step explanation:
jcjdmsjskskms
jsjsksjsmsjdjskaowkdndnd
jsjsksisjsjdhdjeiwksjd
Which inequality represents the number of miles Ellie rides during her school break?
O A. m > 20
B. m > 20
C. m < 20
D. m < 20
Answers
Answer:
Hello! Your answer would be BELOW
Step-by-step explanation:
A)
D)
Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥
Brainlyess
In order to find the percentage of households in a town that own more than one vehicle, a survey asks 1000 randomly selected drivers at a gas station how many vehicles are owned in their household. From the results of the survey, it is reported that 67% of households in the town have more than one vehicle. Why is this report biased?
Answer options with 4 options
A.A random sample was used.
B.The sample size was too small.
C.A survey should not have been used.
D.Households without a vehicle were not surveyed.
Answers
The bias in the report is that households without a vehicle were not surveyed.
• A bias in a statistical research may be occur when the sample used is not entirely representative of the population. The research carried out above was to evaluate the number of households with more Than one car, the sampling frame should not only include the households with cars but the entire household in the town.
• The fact that the random sample were Drivers at the gas station, exempts those households without cars because those without cars cannot drive to a gas station.
• The sample is sufficiently large.
The scenario also states that, the samples were chosen randomly.
Hence, the bias is that household without cars were exempted from the survey.
Learn more : https://brainly.com/question/24393604
Which benchmark is between
7/8
and 7/4
A: 1/2
B: 1
Answers
7/8 = .875
7/4 = 1.75
7/8 < 1 < 7/4
how to solve this plzzzzz mark you brinlast
Answers
Step-by-step explanation:
S)
4k²-1=63
4k²=63+1
4k²=64
k²=64/4
k²=16
k=√64
k=8
Two students' solutions to the equation 58.5 = 3.5x — 6 are shown
below. Both students made an error. Find the errors and give a
correct solution.
Answers
Answer:
18.43 is the correct answer when rounded to the hundreds place. when roumded to the tenths it is 18.4
A college professor hands out a list of 10 questions, 5 of which will appear on the final exam for the course. One of the students taking the course is pressed for time and can prepare for MATH 270 Assignment 2 W. Li 2 only 7 of the 10 questions on the list. Suppose the professor chooses the 5 questions at random from the 10. a) What is the probability that the student will be prepared for all 5 questions that appear on the final examination
Answers
Answer:
21 / 252
Step-by-step explanation:
Recall : nCr = n! ÷ (n-r)!r!
The total possible outcome ; 5 questions out of 10
10C5 = 10! ÷ 5!5! = (10*9*8*7*6)÷(5*4*3*2*1) = 252
Required outcome :
All 5 questions set being from the 7 questions covered and 0 from the 3 left uncovered
7C5 * 3C0
7C5 = 7! ÷ 2!5! = (7*6) ÷ (2*1) = 21
3C0 = 3! ÷ 3!0! = 1
Probability = required outcome / Total possible outcomes
P(All 5 questions prepared for appears) :
[7C5 * 3C0] ÷ 10C5
(21 * 1) / 252
= 21 / 252
find the range 15,2,3,7,8,4,3,2,16,2,4
Answers
Answer:
Your range will be about 14.
Answer:
Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is
16-2= 14
14
A ski resort charges Susan a flat fee of $65 to rent skis. It also charges her a daily rate of $22 for a ski lift pass to get skiers back up the mountain. Let d = the number of days a ski lift pass is rented. If Susan is
charged $175, which equation represents her situation?
Answers
Answer:
65+22d=175
Step-by-step explanation:
12g^2 + 7g^2 simplify
Answers
Answer:
19g^2
Step-by-step explanation:
Answer:
144 I think????? ????????
Simplify to create an equivalent expression.
1+4(6p-9)
Answers
HELP ME PLEASE I DON'T UNDERSTAND
Answers
Answer:
For #9 it can be 4,6, or 7
#10 is angle 3
#11 is 134
#12 is 49
Step-by-step explanation:
#9 just look at the picture given and see which one is opposite from it
#10 look at which one is beside it but that the ’half‘ circles are facing each other
#11 and #12 subtract the angles they give you and see if they are next to each other and if they are that subtract the number they give you by 180-the degrees of a line
PLEASE HELP!!!!!
Let event A= The student plays Basketball
Let event B= The student plays soccer
What is P(A or B)
Answers
Answer: it’s 7/1”
Step-by-step explanation: just took it
the circumference of a circle is 128π inches. find the exact length of the diameter.
Answers
Answer:
d≈40.74
Step-by-step explanation:
Using the formulas
C=2πr
d=2r
Solving ford
d=C/ π=128/ π≈40.74367
Hope this helped!!!!!
hey could someone help me with this question immediately!! i’ll mark brainiest if it’s correct.
Answers
Answer:
10/3
Step-by-step explanation:
The answer would be 10/3. Please mark brainliest!
Answer:
10
Step-by-step explanation:
The missing number is 10
Consider the quadratic equation ax2 + bx + 5 = 0, where a, b, and c are rational numbers and the
quadeatic has two distinct zeros.
Choose the drop down below to make a correct statement.
Answer choices:
Rational
Irrational
Non-real
Answers
Answer:
irrational
Step-by-step explanation:
GIVING BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 35pts-
(!!You Have To Match Them!!)
Answers
Answer:
See attached
Step-by-step explanation:
The matching pairs are in the picture
if your good at precalculus and don't mind doing word please leave a comment down below.
Answers
Answer:
I'm in high school. Sorry I haven't started pre-calc yet. but, I really hope that you can find someone who can help. I'm just answering this for the points.
Step-by-step explanation:
Have a great rest of your day/night!
Simplify 3t + x + x + 2y and show how you did it help for homework-
Answers
Step-by-step explanation:
3t+x+x+2y3t+2x+2yhope it helps.
stay safe healthy and happy.Step-by-step explanation:
3t + x + x + 2y
we can only add terms with the same letter and since it is only t that is common we add it
giving us;
3t + 2x + 2y
ILL MARK YOU BRAINLEIST pls help me out with this .
what are some equations using the digits 0-9 whose soultion is 1/2.
(i need three equations)
Answers
Answer:
Step-by-step explanation:
1. x - 1 = [tex]\frac{-1}{2}[/tex]
x = [tex]\frac{-1}{2}[/tex] +1
x = [tex]\frac{1}{2}[/tex]
2. 8x - 5 =9
8x = 9 - 5
8x = 4
x = [tex]\frac{4}{8} = \frac{1}{2}[/tex]
3. 2[tex]x^{3}[/tex] = [tex]\frac{1}{4}[/tex]
[tex]x^{3}[/tex] = [tex]\frac{1}{4}[/tex] x [tex]\frac{1}{2}[/tex]
[tex]x^{3}[/tex] = [tex]\frac{1}{8}[/tex]
x = [tex]\sqrt[3]{\frac{1}{8} }[/tex]
x = [tex]\frac{1}{2}[/tex]
Can someone please help me with this one, i would appreciate it if you can explain it to me if not then that’s okay
Answers
The amplitude of this graph is?
Answers
Answer:
Step-by-step explanation:
Answer is : 2
Help me please it's 2:00 in the morning and I really need your help with this assignment I have to submit them because the school will be off on June 05 so I have to complete my missing works:( please help
Answers
Answer:
x = 4
Step-by-step explanation:
Here, given that the two triangles are similar, we want to find the value of x
Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal
Thus, we have it that;
ED/EF = XY/YZ
5/2x-1 = 10/14
14(5) = 10(2x-1)
70 = 20x -10
70 + 10 = 20x
20x = 80
x = 80/20
x = 4
I have no idea what the answer so what do you guys think that answer is?
Answers
Because when you look at line y, you go down to where it meets up with line x, (y is negative numbers until it meets with line x) after that it isn’t a negative number and it turns into positive numbers. So it’s 1! I’m so sorry if this is wrong!
You are planning a party for a group of friends. The cost of
the party will be $30 to rent the room plus $5 per person.
You have a budget of $75. Which inequality gives you the
best estimate of the number of people p that you can invite.
to your party?
Answers
Answer:
30 + 5p ≤ 75
Explanation:
This inequality describes that your total cost (which is dependent on the amount of people you invite) must be less than OR equal to $75.
Please solve no explanation needed
Answers
Answer:
Option 3
Step-by-step explanation:
I know you said no explanation is needed but I'm going to give it anyways
(1) Semester 1 and 2 have the same interquartile range (12) so it can't be option 1.
(2) Semester 1 and 2 have the same median so it can't be option 2.
(3) Option 3 is true, semester 2 does have the greater mean.
(4) Semester 1 have the greater third quartile so option 4 can't be true.
Triangles ABC and DEF are similar. Explain why
AB
BC
DE
EF
Given an example of possible side lengths for segments AB, BC, DE and
EF. Write a coherent explanation using domain specific vocabulary to
justify why these side lengths are reasonable.
B
D
А
Answers
Answer:
Triangles ABC and DEF are similar. Explain wh
Step-by-step explanation:
They are the same shape it's just one is smaller one is bigger
Overview
6
9
10
12
Question Progress
Homework Progress
13/60
ABC is a straight line.
A
B
С
The length of AB is four times the length of BC.
AC = 75 cm.
Work out the length of AB.
Answers
BC = 15 cm
Call AB x and BC y
x = 4y
And
x + y = 75
Substitute the first value intro eh second equation & solve for a numerical value for y
4y + y = 75
5y = 75
y = 15
Then solve for a numerical value of x
x = 4y
x = 4(15) = 60
What is the value of the dot on the number line?
Answers
Answer:
-2.1 to -2.4( my guess would be .3)
Step-by-step explanation:
the middle line refers to.5 so the dot since its not indicated could be referred to as-2.3
HElp please i really need help 100
points
Answers
Answer:
yes
Step-by-step explanation:
Answer:
you have to use your own sheet of paper. sorry