Answers
Answer:
[tex]\angle PQR=30^{\circ}[/tex]
Step-by-step explanation:
It is given that,
[tex]\angle PQS=16^{\circ}\\\\\angle SQR=(9x+17)^{\circ}\\\\\angle PQR=(12x-6)^{\circ}[/tex]
We need to find the measure of [tex]\angle PQR[/tex].
From the given figure, [tex]\angle PQR=\angle PQS+\angle SQR[/tex]
Putting all the values, we get :
[tex]12x-6=16+9x+17\\\\12x-9x=16+17+6\\\\3x=39\\\\x=13[/tex]
[tex]\angle PQR=12x-6\\\\=12(3)-6\\\\=30^{\circ}[/tex]
So, the measure of [tex]\angle PQR[/tex] is 30 degrees.
Related Questions
Graph the lines in standard form 2x+y=9
Answers
Answer:
to graph this all you need to do is plot the y-intercerpt which is 9 in this case. then use the slop (-2) which means go two down from the y intercept and one to the right. all you need to do then is connect the points with a line.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A graphing calculator produces a graph very nicely.
__
Setting x=0, you have the equation y=9, so you know the y-intercept.
Setting y=0, you have the equation 2x=9, so you know the x-intercept is 9/2 = 4.5. It can be easier to set y=1 to find the corresponding point x=(9-1)/2 = 4.
Through the points (0, 9) and (4, 1), you can draw the line representing the relation.
Ann and Bob split some money in the ratio 4:2. Ann got £4 more than Bob. How much did Bob get?
Answers
Answer:
$4
Step-by-step explanation:
A 4:2 ratio is the same as a 2:1 ratio, so Ann receives double what Bob gets.
If Ann gets 8 dollars and Bob gets 4, then Ann would have $4 more than Bob, and it would follow the appropriate ratio.
what is 1/10 of 0.02
Answers
Answer:
0.002
Step-by-step explanation:
You just move the decimal over one place. This is the same as dividing by 10. Hope this helps!
Mai and Noah each leave their houses at the same time and ride their bikes to the park.
Here are the equations that you found that might help you:
_____________________________________________
Noah -> $$
and $$
Mai -> $$
and $$
______________________________________________
How long in minutes will it take Noah to reach the park?
How long in minutes will it take Mai to reach the park?
Who will arrive at the park first?
Noah
Mai
Answers
But I might be wrong
Find the value of x
(8x - 23)
34
Answers
34 + 2(8x -23) = 180
34 + 16x - 46 = 180
16x = 180 + 46 - 34
16x = 192
x = 12
In the given triangle, the value of x is 12.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the all three angles of a triangle is always 180°
In the given Triangle ABC,
AB= AC,
∠A = 34° and ∠C = (8x-23)°
Since, two sides of a triangle are equal, therefore their corresponding angle will be equal,
Implies that ∠C=∠B
The sum of all three angles of a triangle is 180°.
⇒∠A+∠B+∠C = 180°
⇒34+8x-23+8x-23 = 180
⇒16x-12=180
⇒16x=192
⇒x=12
The value of x is 12.
To know more about Triangle on:
https://brainly.com/question/2773823
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A high school is designing a new football field. The field is 125 meters long including the end zones. If 1 meter = 3.2 feet, how long in feet, is the length of the football field
Answers
The length of the football field is exactly 400 feet.
Answer:
its is 400 guys
Step-by-step explanation:
I took the test
Hadley paddled a canoe 2 miles in 1/9 of
an hour How far could Hadley paddle in
1 hour?
Answers
Answer: 18 miles
explanation: set up a proportion. (2 over 1/9 = x over 1). cross multiply, 2x1=2, then divide 2/(1/9)=18.
Which is a vertical pair of angles?
Answers
Answer:
B.
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
if i watch the Simpsons 1 time to day and two times tomato how many times did i watch the Simpsons 100 points go check out (joey trap)
Answers
28 divided by a number s
Answers
Answer:
28/sStep-by-step explanation:
I assume that you are wanting an algebraic expression written. if not, please let me know!
When we divide numbers by each other, we write them as a fraction, the number being divided over the number it's divided by. in this case, the number we're dividing is 28, and the number we're dividing it by an unknown factor s.
1.)How many people chose superman or thor?
2.) How many people chose Thor than The Hulk?
3.) How many more people chose Thor than Batman?
Answers
Answer:
40% chose superman or thor
8% chose thor more than hulk
And 12% chose batman than Thor
Answer:
1) 40% of people chose Superman or Thor
2) 8% more people chose Thor than The Hulk
3) 15% more people chose Thor than Batman
Step-by-step explanation:
29 + 11 + 13 + 13 + 21 = 86
100 - 86 = 14
Batman: 14%
29 + 11 = 40
29 - 21 = 8
29 - 14 = 15
AABC~ AQRS
Find the missing side length, m.
AR
В B.
h 7.2.
6
10
12.
А.
"C с
3
m
S
ol
Answers
Btw your answer would be m = 5 but I didn’t want to give that away right away.
write an equation that passes through points (-6,1) (4,3)
Answers
[tex]y=mx+b[/tex]
First, we find the slope.
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{3-1}{4+6} \\m=\frac{2}{10}\\m=\frac{1}{5}[/tex]
Second, we know the slope. Substitute any ordered pairs that are given in the equation.
[tex]y=mx+b\\y=\frac{1}{5}x+b\\[/tex]
I'll use the ordered pairs (4,3) as I substitute x = 4 and y = 3.
[tex]3=\frac{1}{5}(4)+b\\3=\frac{4}{5}+b\\15=4+5b\\15-4=5b\\11=5b\\\frac{11}{5}=b[/tex]
Therefore, the equation is [tex]y=\frac{1}{5}x+\frac{11}{5}[/tex]
$600 7) Nika puts 42 beads in each necklace. Which is the best way to use rounding numbers to estimate the number of beads Nika needs for 2 necklaces? 25 x 45 O 30 x 30 O 20 x 40 O 30 x 40
Answers
Answer:
20 X 40 = 800 (split into 2 fourths) = 40
Step-by-step explanation
20 x 40 = 800;
For 2 necklaces she can split 800 into fourths.
800 - 40 = 80. (1 fourth)
80 - 40 = 40 (2 fourths)
40 - 40 = 0 (3 fourths)
She could split 800 into 2 fourths to get a number more than 0 and less then 42.
The best estimate of rounding 42 is 40. Because 40 is closer to 42.
Geometry
What is the range of possible values for x? The diagram is not to scale.
Answers
I need to find the slope.
Answers
Answer:
The slope is 3/2
3/2
Rise 3
Run 2
Read the excerpt from "Myths About the Founding Fathers This is the truth Revere did ride from Boston to Lexington to warn Hancock and Adams, but he didn't go alone William Dawes took a different route to Lexington, joining Revere and Dr. Samuel Prescott. All three had been spreading the word that the regulars are coming along the way. There may have been as many as forty others who helped.
How do these sentences contribute to the development of ideas in the passage?
It explains how myths about Paul Revere came to
It highlights the importance of lessons to be learned from myths
It provides evidence that Revere's actions were exaggerated in myths
It shows that this are often based on real events
Answers
Answer: it shows that myths are often based on real events. Hope it helps
Step-by-step explanation:
i took the test on the k-12 site and the was the answer cuz i got it correct.
{ first 6 square numbers}
Answers
Answer:
{ 1, 4, 9 , 16 , 25, 36}
Step-by-step explanation:
hope that will help you
Round 2,795 to the nearest ten
Answers
Answer:
2,800
Step-by-step explanation:
Answer:
2,800
Step-by-step explanation:
95 rounded up is 100
so its 2,800
A survey of 80 randomly selected companies asked them to report the annual income of their presidents. Assuming that incomes are normally distributed with a standard deviation of $30,000, determine the 90% confidence interval estimate of the mean annual income of all company presidents. Interpret the statistical results.
Answers
Answer:
The 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).
Step-by-step explanation:
The information provided is:
[tex]n=80\\\sigma=30,000\\\bar x=585062.50\\\text{Confidence level} = 90\%[/tex]
The critical value of z for 90% confidence level is, 1.645.
Compute the 90% confidence interval estimate of the mean annual income of all company presidents as follows:
[tex]CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\\\\=585062.50\pm 1.645\times\frac{30000}{\sqrt{80}}\\\\=585062.50\pm5517.50\\\\=(579545, 590580)[/tex]
Thus, the 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).
This interval implies that there is 90% probability that the true mean annual income of all company presidents is within this interval.
On a map, 12 inch represents 45 mile.
What distance on the map represents 1 mile?
25 in.
58 in.
135 in.
212 in.
I'll give brainlyest.
Answers
Answer: 5/8 inch represents 1 mile
Step-by-step explanation:
to get 1, multiply 4/5 by its reciprocal, 5/4
Then multiply 1/2 by 5/4
1/2 × 5/4 = 5/8
Answer: The correct answer is 5/8
Step-by-step explanation: Answer verified as correct on test
ljfehhgsdddzcSDJCHjgsDdlhfcgadscbsdhcSDMlnSBDZx
Answers
Answer:
?
Step-by-step explanation:
Please help, I can't fail this
Answers
Answer:
The answer is 2143.57 cm³Step-by-step explanation:
Volume of a sphere can be found by using the formula
[tex]v = \frac{4}{3} \pi {r}^{3} \\ [/tex]
r is the radius
From the question we have
[tex]v = \frac{4}{3} \times 3.14 \times {8}^{3} \\ = \frac{4}{3} \times 3.14 \times 512 \\ = 2143.57333..[/tex]
We have the final answer as
2143.57 cm³Hope this helps you
A large container for water weighs 21 pounds. If a gallon of water weighs 8.34 pounds, what is an equation that relates the weight of the
water and the container, W. in pounds and the amount of water, A, in gallons? (1 point)
W
Answers
Answer:
The equation that relates the weight of the water and the container in pounds and the amount of water in gallons is [tex]A = \frac{W}{8.34}[/tex].
Step-by-step explanation:
From Physics we understand that conversions are represented by the following linear equation:
[tex]u' = r\cdot u[/tex] (1)
Where:
[tex]u[/tex] - Original value, measured in original unit. (pounds)
[tex]r[/tex] - Conversion value, measured in final unit per original unit. (gallons per pound)
[tex]u'[/tex] - Final value, measured in final unit. (gallons)
If we know that [tex]u' = A[/tex], [tex]u = W[/tex] and [tex]r = \frac{1}{8.34} \,\frac{gal}{lbm}[/tex], then the equation is:
[tex]A = \frac{W}{8.34}[/tex]
The equation that relates the weight of the water and the container in pounds and the amount of water in gallons is [tex]A = \frac{W}{8.34}[/tex].
Determine the slope of the line passing through the points (5, 8) and (-3, 10).
1. -1/2
2. -1/4
3. 1/2
4. -4
Answers
Answer:
The answer is option 2Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]
From the question we have
[tex]m = \frac{10 - 8}{ - 3 - 5} = \frac{2}{ - 8} = - \frac{2}{8} = - \frac{1}{4} \\ [/tex]
We have the final answer as
[tex] - \frac{1}{4} \\ [/tex]
Hope this helps you
Answer:
-1/4. ..................,..
find the third side in simplest radical form.
Answers
Answer: i like hot dogs
Step-by-step explanation: real good
Answer:
C=11.3
Step-by-step explanation:
8(2)+8(2)=C(2)
8×8=64 8×8=64
64+64=128
128=C(2)
On the caculator press 2nd then x2 then add in 128.
11.31=11.3
C=11.3
how do I solve this triangle problem!!!
Answers
Answer:
Angles 1 and 2 are both 60, and angle 3 is 120
Step-by-step explanation:
Answer:
The total if a triangle is 180, for a right angle so 180 subtract the number u have and 90 plus the number u have and the number u got
What is the percentage of y=2200(1.074)^x
Answers
a dolphin in a aquaruim is 12 feet long. A scale model of the dolphin is 3 1/2 in long. What is the scale factor of the model
Answers
Answer:The scale factor= 1 : 41.14
Step-by-step explanation:
I did research on it
Find the amplitude of y = -4 sin x.
a
4
b
pi/4
c
-4π
d
2π
Answers
4
Explanation:
The amplitude of a sine function is the absolute value of the coefficient of sin(in other words, the absolute value of the number multiplying the sin)
In this case, that is |-4|=4
