In Fig. 6.39, sides QP and RQ of ΔPQR are produced to points S and T respectively. If ∠SPR = 135° and ∠PQT = 110°, find ∠PRQ.
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Thank u :)
Answers
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Given: ∠SPR = 135° and ∠PQT = 110°To find: ∠PRQ[tex] \leadsto[/tex]According to Angle sum property of a triangle , sum of the interior angles of a triangle is 180°.
➱ ∠SPR + ∠QPR = 180° [Linear pair]
➱ 135° + ∠QPR = 180°
➱ ∠QPR = 180° - 135°
➱ ∠QPR = 45°.....(i)
➱ ∠PQT + ∠PQR = 180° [Linear pair]
➱ 110° + ∠PQR = 180°
➱ ∠PQR = 180° - 110°
➱ ∠PQR = 70°.....(ii)
Now,➛ ∠PQR + ∠QPR + ∠PRQ = 180° [Angle sum property of a triangle]
➱ 70°+ 45° + ∠PRQ = 180° [from (i) and (ii)]
➱ ∠PRQ = 180° - 115°
➥ ∠PRQ = 65°
hope it's help u!! :D
Related Questions
Which of the following are reasons that a sampling technique may not be scientific.
a. People who were asked refused to answer.
b. The graphs are drawn in a way to mislead the reader.
c. The researcher was not able to survey every individual from the population.
d. The funders of the project are partial to the results.
e. Two factors cannot be separated to determine which is the one that is responsible for the outcome.
f. Trying to conclude that there is a cause-and-effect relationship when something else causes both.
Answers
Answer:
b. The graphs are drawn in a way to mislead the reader.
f. Trying to conclude that there is a cause-and-effect relationship when something else causes both.
Step-by-step explanation:
The sampling technique is used to make observation about entire population. The sampling may be misleading if the graphs are not properly drawn. This could mislead the reader and the sampling technique will not be scientific.
Sampling may be unscientific when the graphs are drawn in a way to mislead the reader.
Sampling is a simple way of carrying out scientific studies. In a sampling technique, a small fraction of the whole is selected for study in such a manner that represents the whole.
A sampling may not be scientific if;
The graphs are drawn in a way to mislead the reader.Trying to conclude that there is a cause-and-effect relationship when something else causes both.Learn more about sampling: https://brainly.com/question/857770
Six friends share a 15 ounce bag of Skittles equally. Between what two whole numbers of ounces will each person get?
1. 3 and 4
2. 2 and 3
3.1 and 2
4. 0 and 1
Answers
Answer:
2. 2 and 3
Step-by-step explanation:
15 ÷ 6 = ?
15 ÷ 6 = 2.5
2, 2.5 , 3
I hope that helps!!
Find the Perimeter and Area
Answers
Answer:
Area = 20.28 cm^2
Perimeter = 16.28 cm
Step-by-step explanation:
The figure is composed of a half circle and a rectangle,
The circle has a diameter of 7 - 2 - 1 = 4cm and the rectangle is of side 2 cm and 7 cm.
Therefore the area is :
Area = A rectangle + Acircle/2 = 2*7 + pi*r^2/2 = 20.28 cm^2
The perimeter is :
Perimiter = 1 + 2 + 7 + Pcircle/2 = 1 + 2 + 7 + 2*pi*r/2 = 16.28 cm
A college statistics class conducted a survey of how students spend their money. They asked 25 students to estimate how much money they typically spend each week on fast food. They determined that the mean amount spent on fast food each week is $31.52 and the median is $32. Later they realized that a value entered as $2 should have been $20. They recalculate the mean and the median. Which of the following is true? Group of answer choices
a. The mean and median will increase.
b. The mean will increase, but the median will remain the same.
c. The mean will stay the same, but the median will increase.
d. Both the mean and median will remain the same.
Answers
Answer:
Option B, The mean will increase, but the median will remain the same.
Step-by-step explanation:
Given
Mean value is [tex]31.52[/tex] dollars
Median Value is [tex]32[/tex] dollar.
Mean is the average of all the units in a given set of data. Change in any of the number will change the mean.
Here the mean is 31.25
Total money would be [tex]31.25 * 25 = 781.25\\[/tex]
A number is changed from 2 to 20 , i.e addition of 18 dollars
the new mean would be 781.25 + 18/25 = 31.97
However, the median value is the value of the unit at the center of the arrangement. Hence, it will not change.
Option B is correct
Tez
Conclusions: Testing Trig Ratios
Does this ramp have an angle less than 4.8°?
Does it meet the ADA guidelines?
Triangle B
Yes
No
40
30
Answers
Answer:
ddjdjdjduduudduudppooo
how many thirds are in 8/3
Answers
Answer:
There are 8 thirds in 8/3
There are 2 wholes in 8/3 as well
8/3 converted to a decimal is 2.7 rounded to the nearest tenth (so 2.6 repeated)
Step-by-step explanation:
Will mark brainliest!
Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming pool:
Part B: Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept.
BTW. PLESE DON'T ANSWER IF YOU DON'T KNOW.
Answers
Answer:
y = 0.44 x - 0.1
Step-by-step explanation:
Using the points (2.5, 1) and (27.5, 12) (first and last points of the plot - please see attached image), we obtain the following slope:
slope = (y2 - y1) / (x2 - x1)
slope = (12 - 1 ) / (27.5 - 2.5) = 0.44
Now we use this slope to complete the equation of the line through those points:
y = 0.44 x + b
1 = 0.44 (2.5) + b
1 = 1.1 = b
b = 1 - 1.1
b = - 0.1
Therefore, the equation of the line becomes:
y = 0.44 x - 0.1
Answer:
y = 0.44x + 0
Step-by-step explanation:
I am going to use the first and lowest and highest points on the graph to make an equation representing the approximate slope of this graph.
(2.5,1) and (27.5,12)
To find slope I am going to calculate change in y over change in x.
12 - 1 over 27.5 - 2.5 = 11/25 = 0.44
So far we have y = 0.44x + 0
To find "b" (the y-intercept) we are going to plug zero in for x, because the defintion of y-intercept is "the value of y when x = 0"
We get that the y intercept equals 0.
y = 0.44x + 0 or just y = 0.44x
I know I won't get brainliest, but hopefully, this helps, and you said that the other person couldn't get brainliest unless someone else answered, so here ya go!
Bob has a total of 60 adventure cards for a game. The table shows the number of cards, c, distributed to p players. Which equation describes the
paltem in the table?
Does anyone know the answer for this ?
Answers
Answer:
A. c = 60 / p
Step-by-step explanation:
If p=2, the equation would read... c = 60 / 2, which mean c = 30. If c = 12, the equation would read... 12 = 60 / p, and p = 5, and so on, 20 = 60 / 3, and 15 = 60 / 4.
Find the percent change from the first value to the second. Round to the nearest percent.
92; 23
Answers
Answer:
Step-by-step explanation:
23-92 = -69
-69/92 = -0.75 = -75%
15. If R is the midpoint of OS, OR = &r - 51 and RS = 3x - 6, find QS.
Only answer if right I need help
Answers
1) An item has a regular price of x dollars. It is being sold at a 40% discount. Write two
expressions that could be used to determine the sale price.
Answers
Answer:
Step-by-step explanation:
Your answer
Price = x dollar. Discount = 40%
Discount price is 0.4x
Net price = x-0.4x= 0.6x
Mark it as Brainlist answer. Follow me.
GIVING BRAINLIEST Use the inequality 186< -3 (4x - 2).
a.Solve the inequality for x.
b. Which graph shows the solution to the inequality?
Answers
Answer:
x < -15
Step-by-step explanation:
I solved the inequality but i don't know if that was what you were asking for lol, if not sorry.
PLEASE ANSWER! I NEED HELP!! 30 POINTS TO WHO EVER ANSWERS!
The point of intersection of a system of equations is (3,4). Which of the following could represent one of the equations in the system of equations?
Select one:
A. 2x+3y=15
B. x+y=8
C. −2x+6y=18
D. −4x−y=−8
Answers
Step by step :-
here
x=3
y=4
so,
-2×3+6×4=18
or,-6+24=18
2
Find the quotient when x + 11x + 18 is divided by
x +9
Answers
Answer:
(12x + 18)/(x+9)
Step-by-step explanation:
We have: (x + 11x + 18)/(x+9). First simplify this equation by adding like terms.
(12x + 18)/(x+9), which is your answer. This is the final answer because we can't simplify this expression anymore.
Fine the exponent ??
Answers
Answer:
the exponent is 7 why does it make me put 20 charects
Answer:
3
Step-by-step explanation:
27 = 3 to the power of 3
3 x 3 x 3 = 27
according to the rules of significant figures 1.25*200=300
will give brainliest pls
Answers
Answer:
It's false
Step-by-step explanation:
1.25*200=250 not 300.
What is the mass of a truck if it
produces a force of 14000 N while
accelerating at a rate of 5 m/s/s?
Answers
Answer:
force (f)= 14000N
acceleration (a)=5m/s²
mass (m)=?
we have,
f=ma
14000=m×5
14000/5=m
2800=m
therefore Mass is 2800kg
Find the perimeter and area of the semi circle
Answers
Answer:
Step-by-step explanation:
Perimeter of a semicircle with diameter d = πd/2 + d
The intersection of three lines at one point and the measures of three angles are shown in this figure.
Answers
Answer:
D. 2x+71=180
Step-by-step explanation:
Six angles are represented, three are marked. The six angles add up to 360 (360 degrees in a circle). We know that the sum of all the marked angles equals 180, because each marked angle has an equal, unmarked, vertically opposite angle, and half of 360 is 180. Therefore we can write:
76+(x-5)+x=180
2x+71=180
which is the better price?
$5.36 for 20 oz.
or $9.27 for 48 oz.
Answers
Answer:
$9.27 for 48 oz.
[tex] \sqrt{2536} [/tex]
Answers
Answer:
50.35
Step-by-step explanation:
Can someone help I’m confused
Answers
Alice has 2 pennies, 3 nickels, 4 dimes, 4 quarters and 1 loonie in her pocket. If one coin is drawn randomly, what is the theoretical probability of getting a quarter?
Answers
Step by step: there are 14 coins and only 4 quarters so 4/14
what is the solution to 5(4x-1.5x)+12-2
Answers
Answer:
12.5x+10
Step-by-step explanation:
I'm assuming that you want to simplify this, because there is no equal sign.
If you want to simplify, first combine like terms.
First solve the first half of the equation: 20x-7.5x=12.5x
Now solve the second half of the equation: 12-2=10, so we have 12.5x+10.
That's your answer: 12.5x+10
Answer:
x = 0.8
Step-by-step explanation:
Your equation is 5(4x - 1.5x) + 12 - 2. Simply, you have to solve for x.
First, you have to do distributive property. 5 x 4 and -1.5 (1.5 is negative as I plus-minus.) This will now lead you to have the equation 20x + -7.5x + 12 - 2.
Next, you subtract 12 - 2. Then add 20x + -7.5x. Your equation should be 12.5x = 10.
Since you want x by itself, you will divide all by 12.5 in which 10 divided by 12.5 is 0.8. So your final answer is
x = 0.8
The competitive advantage of small American factories such as Tolerance Contract Manufacturing lies in their ability to produce parts with highly narrow requirements, or tolerances, that are typical in the aerospace industry. Consider a product with specifications that call for a maximum variance in the lengths of the parts of 0.0008. Suppose the sample variance for 30 parts turns out to be s2 = 0.0009.
Required:
Use α = 0.05 to test whether the population variance specification is being violated. State the null and alternative hypotheses.
Answers
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]H_0: \sigma^{2} \leq 0.0008\\\\H_a: \sigma^{2} > 0.0008[/tex]
The testing states value is:
[tex]\to x^2=\frac{(n-1)s^2}{\sigma^2}=32.6250[/tex]
therefor the [tex]\rho - \ value = 0.2931[/tex]
Through out the above equation its values Doesn't rejects the H_0 value, and its sample value doesn't support the claim that although the configuration of its dependent variable has been infringed.
you are working to save money for a trip. you need to save 1500. if you already have 250 saved, and make represent how many hours, h, you need to work to make the rest of the money show your work
Answers
Answer:
Step-by-step explanation:
$1500-$250 = $1250
You need to save an additional $1250.
The question did not include a pay rate.
Suppose you earn x dollars an hour.
$1250 × (1 hour)/($x) = (1250/x) hours
You need to work 1250/x hours.
Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. They randomly survey 391 drivers and find that 319 claim to always buckle up. Construct a 85% confidence interval for the population proportion that claim to always buckle up.
Answers
Answer:
The 85% confidence interval for the population proportion that claim to always buckle up is (0.7877, 0.8441).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
They randomly survey 391 drivers and find that 319 claim to always buckle up.
This means that [tex]n = 391, \pi = \frac{319}{391} = 0.8159[/tex]
85% confidence level
So [tex]\alpha = 0.15[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.15}{2} = 0.925[/tex], so [tex]Z = 1.44[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8159 - 1.44\sqrt{\frac{0.8159*0.1841}{391}} = 0.7877[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8159 + 1.44\sqrt{\frac{0.8159*0.1841}{391}} = 0.8441[/tex]
The 85% confidence interval for the population proportion that claim to always buckle up is (0.7877, 0.8441).
4. (05.02)
Find the measure of angle x in the figure below:
(5 points)
χο
Υ
55
30'
95ο
55ο
Ο Ο Ο Ο
30ο
850
Answers
Answer:
95 degrees
Step-by-step explanation:
use a calculator
95% of 7-year-old children are between inches and inches tall.
Answers
45 and 53 are the correct answers on edge.
Answer:
45 and 53, i got it right on edge
is y = -x3 + 4 linear or non linear
Answers
Answer:
It is a linear equation