Answers
Answer:
m<SQP=124°
Step-by-step explanation:
Hi there!
We're given ΔQRS, the measure of <R (90°), and the measure of <S (34°)
we need to find m<SQP (given as x+72°)
exterior angle theorem is a theorem that states that an exterior angle (an angle on the OUTSIDE of a shape) is equal to the sum of the two remote interior angles (the angle OUTSIDE of a shape will be equal to the sum of 2 angles that are OPPOSITE to that angle).
that means that m<SQP=m<R+m<S (Exterior angle theorem)
substitute the known values into the equation
x+72°=90°+34° (substitution)
combine like terms on both sides
x+72°=124° (algebra)
subtract 72 from both sides
x=52° (algebra)
however, that's just the value of x. Because m<SQP is x+72°, add 52 and 72 together to get the value of m<SQP
m<SQP=x+72°=52°+72°=124° (substitution, algebra)
Hope this helps!
Related Questions
Please explain which answer is correct and why. Thank you!
Answers
Answer: Choice 1
3(MC) = SC
=====================================================
Explanation:
The three medians intersect at the centroid, which is point M in this case. The intersecting medians subdivide themselves in the ratio 2:1
This means that SM is twice as long as MC. We can say SM = 2MC
Then by the segment addition postulate, we know that:
SC = SM + MC
SC = 2MC + MC
SC = 3MC
3(MC) = SC
So having three copies of MC glued together will form segment SC.
The same idea applies for the other medians also (EK = 3EM and RL = 3ML).
I need help for this
Answers
Answer:
The area of the rectangle is 6 centimeters squared.
Step-by-step explanation:
This shape is a rectangle.
There is a formula to find the area of a rectangle:
length multiplied by width equals the area.
l x w = area
2 x 3 = 6
need help w 5 plsss help
Answers
Download photo-math on ur phone and take a picture of the equation. it should tell u the answer.
The increasing annual cost (including tuition, room, board, books and fees) to attend college ) to attend college has been widely discussed in many publications including Money magazine. The following random samples show the annual cost of attending private and public colleges. Data are in thousands of dollars.
Private Colleges
53.8 42.2 44.0 34.3 44.0
31.6 45.8 38.8 50.5 42.0
Public Colleges
20.3 22.0 28.2 15.6 24.1 28.5
22.8 25.8 18.5 25.6 14.4 21.8
Required:
a. Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges.
b. What is the point estimate (in thousand dollars) of the difference between the two population means?
Answers
Answer:
a) The sample mean is of 42.7 thousand dollars.
The standard deviation is of 6.38 thousand dollars.
b) The point estimate of the difference between the two population means is of 20.4 thousand dollars.
Step-by-step explanation:
a. Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges.
Sample mean is the sum of all values divided by the number of values. So
[tex]M = \frac{53.8 + 42.2 + 44.0 + 34.3 + 44.0 + 31.6 + 45.8 + 38.8 + 50.5 + 42.0}{10} = 42.7[/tex]
The sample mean is of 42.7 thousand dollars.
Sample standard deviation is the square root of the sum of the difference squared between each number and the mean, divided by the number of values. So
[tex]S = \sqrt{\frac{(53.8-42.7)^2 + (42.2-42.7)^2 + (44.0-42.7)^2 + (34.3-42.7)^2 + (44.0-42.7)^2 + (31.6-42.7)^2 + (45.8-42.7)^2 + (38.8-42.7)^2 + (50.5-42.7)^2 + (42.0-42.7)^2}{10}} = 6.38[/tex]
The standard deviation is of 6.38 thousand dollars.
b. What is the point estimate (in thousand dollars) of the difference between the two population means?
First, we have to find the sample mean for public colleges, and then subtract the sample mean of private colleges by the sample mean of public colleges. So, for public colleges:
[tex]M = \frac{20.3 + 22.0 + 28.2 + 15.6 + 24.1 + 28.5 + 22.8 + 25.8 + 18.5 + 25.6 + 14.4 + 21.8}{12} = 22.3[/tex]
Point estimate of the difference:
42.7 - 22.3 = 20.4
The point estimate of the difference between the two population means is of 20.4 thousand dollars.
How do I find the margin of error?
Answers
Answer:
You can find the margin of error by using this this formula
[tex]z \times \frac{σ}{ \sqrt{n} } [/tex]
Which of the pairs of angles are vertical angles and thus congruent? ∠A and ∠G ∠A and ∠B ∠C and ∠F ∠D and ∠H
Answers
Answer:
∠A and ∠G is the pair of vertical angles.
Step-by-step explanation:
From the figure attached,
Two lines 'm' and 'n' are two parallel lines. These lines intersect a horizontal line 'l'.
Since, "Pair of opposite angles formed at the point of intersection are the vertical angles and equal in measure."
Therefore, Opposite angles ∠A ≅ ∠G, ∠B ≅ ∠H, ∠C ≅ ∠E and ∠D ∠F are the vertical angles.
From the given options,
∠A and ∠G is the pair representing the pair of vertical angles and thus congruent.
Answer:
∠A and ∠G
Step-by-Step Explaination:
I did it on
E
D
G
E
N
U
I
T
Y
PLESE QUICKLY SOLVE URGENT
Answers
Answer:
$12.50 per lawn
Step-by-step explanation:
If you get $25 when mowing two lawns(inferred from the table) you would earn exactly half of that amount for 1 lawn.
25 ÷ 2 = 12.5
This means you are earn $12.50 for one lawn or $12.50 per lawn.
Hope this helps :D
And I can explain why if you need help
The experiment proceeded as normal, with the experimental group hearing about the potential presence of a gun as the confederates left the study and the control group not hearing about the gun. Unfortunately, word spread around campus about a man with a gun who stole a laptop during a study. Unknown to the study researchers, many potential participants participated in the research anyway, and kept an eye out for a gun, knowing that they might be asked about it. The researchers found that those in the experimental group did not differ from those in the control group about the likelihood of a gun. That is, the mean score that a gun was present during the second interview was similar for the experimental group (M = 67%, SD = 12.4%) and the control group (M = 63%, SD = 11.16%).
Maturation
Regression to the mean
Selection
Mortality
Instrumentation
Testing
History
Interactions
Diffusion
No Threat
Answers
Answer:
The answer is "The threat to internal validity is mortality".
Step-by-step explanation:
It signifies that while in terms of your study, persons were "morning." It usually signifies when people leave the studies. There will be only likely if indeed the experiment lasts a long period that it'll be a substantial danger to validity and reliability because the chance for drops increases. Eight content validity risks are history, maturity, instrument, test, choice, average regress, human engagement, and mortality.
Simplify the following:
-8 + (15 - 3) = 4
Answers
Answer: -5
Step-by-step explanation:
-8 + (15-3) / 4
-8 + 12 / 4
-8 + 3
-5
HELP HELP HELP HELP PLZZZZZ
Answers
Please help 2. Name the polar coordinates of the point graphed below.
Answers
Which term describes a fraction that has a polynomial in its numerator and denominator?
Answers
Answer:
Rational expression
Step-by-step explanation:
csc^ 2 theta- csc^ 2 theta sec^ 2
Answers
Answer:
-csc²θ(tan²θ)
Step-by-step explanation:
csc²θ-csc²θ(sec²θ)
-csc²θ(-1+sec²θ)
-csc²θ(tan²θ)
If a sample of 14 students were taken from a population of 168 students, o?
could refer to the variance of how many of the students' heights?
A. 168
B. 14
C. Both 14 and 168
D. Neither 14 nor 168
Answers
Please help, I am struggling with learning about this
Answers
Answer:
canvas? or is that a different website
Step-by-step explanation:
Change of Base formula: [tex]log_ax=\frac{log_bx}{log_ba}[/tex]
b can be any number.
This formula is used because a lot of calculators can't calculate a logarithm with a base other than 10, so calculators don't show the bases, it is already assumed as base 10.
[tex]log_725=\frac{log_{10}25}{log_{10}7}[/tex]
Type log(25) / log(7) to get: 1.6542
Pls let me know if u have any questions about logarithms, it helps me study!!
Express 848.41 m in millimeters
Answers
Move the decimal three places to the right.
If Matt's share is 20% less than Kate's, how much is Kate's share more than Matt's?
A.
O 25%
B.
0
33.33%
38
C. O 20%
D. O 50%
Answers
What is the perimeter of the shape?
- 12 feet
-14 feet
-26 feet
-38 feet
Answers
Answer:
26 ft
Step-by-step explanation:
Find mCFD
O 180°
O 276°
O 307°
O 53°
Answers
9514 1404 393
Answer:
307°
Step-by-step explanation:
The measure of arc CFD is the measure of the whole circle, less the measure of arc CD. The measure of arc CD is the difference between the measures of arc CE and DE. Arc CE has the same measure as arc BF, so we have ...
arc CFD = 360° -(arc BF -arc ED)
arc CFD = 360° -132° +79°
arc CFD = 307°
_____
Arcs BF and CE are of equal measure because their central angles are vertical angles, hence congruent.
A box contains 16 red marbles, 25 green marbles, 4 yellow marbles and 10 blue marbles. A marble is chosen at random. What is the probability of not choosing a green marble
Answers
Answer:
Step-by-step explanation:
La suma de dos números es de 540 y su diferencia es 32. Hallar los números
Answers
Answer:
254 y 286
Step-by-step explanation:
540 - 32 = 508
508 / 2 = 254
254 + 32 = x = 286
Find the volume of a right circular cone-shaped building with a height of 9 cm and a radius base of 7 cm.
Answers
Answer:
[tex]\displaystyle V = 147 \pi \ cm^3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cone Formula: [tex]\displaystyle V = \frac{1}{3} \pi r^2h[/tex]
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify
h = 9 cm
r = 7 cm
Step 2: Find Volume
Substitute in variables [Volume of a Cone Formula]: [tex]\displaystyle V = \frac{1}{3} \pi (7 \ cm)^2(9 \ cm)[/tex]Evaluate exponents: [tex]\displaystyle V = \frac{1}{3} \pi (49 \ cm^2)(9 \ cm)[/tex]Multiply: [tex]\displaystyle V = \frac{1}{3} \pi (441 \ cm^3)[/tex]Multiply: [tex]\displaystyle V = 147 \pi \ cm^3[/tex]Answer:
Solution given:
height[h]=9cm
radius [r]=7cm
volume of cone =?
we have
Volume of cone:⅓πr²h=⅓*π*7²*9=⅓*22/7*7²*9=
462cm³
volume of a right circular cone-shaped building with a height of 9 cm and a radius base of 7 cm is 462cm³.
Calculate the surface area of a prism with the following dimensions.
the length (l) = 13 units, the width (w) = 2 units and the height (h) = 17 units.
a.
278 sq. units
c.
562 sq. units
b.
276 sq. units
d.
987 sq. units
Answers
Answer:its B I did the quiz
Step-by-step explanation:
please answer ive been having such a bad day today
Answers
Answer:
A - y = 2x + 1
Step-by-step explanation:
2(2) + 1 = 5
2(4) + 1 = 9
2(6) + 1 = 13
Hope this helps <3
How much will it cost to run for 8 hours at a cost of $0.13 per
kilowatt-
hour?
Answers
8 times .13 = 1.04
The graph shows the total number of participants in a town's recreation program at the end of every year since the year 2000. The line of best fit for the data is given by the equation =13+50, where y is the total number of participants x years after the beginning of the year 2000.
Which statement correctly interprets the slope of the line of best fit?
A. The rate of change is 1 new participant every 13 years.
B. The rate of change is 13 new participants every 13 years.
C. The rate of change is 13 new participants every year.
D. The rate of change is 50 new participants every year.
Answers
Answer:
B
Step-by-step explanation:
Answer:
The rate of change is 13 new participants every year.
Step-by-step explanation:
y=13x+50
This is in the form y = mx+b where m is the slope and b is the y intercept
x is the number of years so for every year increase we gain 13 new participants
25 points! Please help!
Answers
Explanation:
Answer:
17.5(D)
Step-by-step explanation:
So, lets see:
Every 5 minutes, Raul answers 22 questions.
The test has 77 questions.
We must figure out the time it takes to answer all 77 questions.
To do this, lets first divide the total questions by the questions answered per 5 minutes:
77 / 22
=
3.5
I got 3.5 knowing that 3x22 is 66, and half(0.5) of 22 is 11, and 11 plus 66 is 77.
So, the 3.5 is how many times he answrs 22 questions in five minutes.
To make a bit more sense, basically we have to multiply the 5 minutes by the 3.5:
3.5*5
=
17.5
We know that 3 times 5 is 15. Half(0.5) of 5 is 2.5, so 15+2.5 is 17.5.
So the answer is that for the 77 quesitons, it takes 17.5 minutes
HOPe this helps!
Im on a girls basketball team , 3 are in sixth grade , 5 are in seventh grade , and 6 are in eighth grade . so what are ratio of all players sixth graders on the team
Answers
Answer:
14:3
Step-by-step explanation:
14 total.
all players : sixth graders
14:3
Explanation:
3+5+6=14
Sixth grade player=3
14:3
Trish types 3 1/3 pages. Joy types 3/4 as many pages as Trish.
How many pages does joy type?
Answers
Answer: Joy types 2 1/2pages
Step-by-step explanation:
Number of pages typed by Trish= 3 1/3 pages
Number of pages typed by joy=3/4 as many pages as Trish=3/4 x 3 1/3 pages
=3/4 x 3 1/3
=3/4 x 10/3
=(30/12) ÷(3/3)
=10/4)÷(2/2)
=5/2=2 1/2
Milton purchases a 4-gallon aquariurn for his bedroom. To fill the aquarium with water, he uses a container with a capacity of 1 quart How many times will Milton fill and empty the container before the aquarium is full? Milton will fill and empty the container times.
Answers
Answer:
16 times
Step-by-step explanation:
Since he has a 4-gallon aquarium and a 1-quart container, and since there are 4 quarts in every gallon, he'll need to fill the aquarium with the container full 16 times because for every gallon, he'll need to fill the aquarium 4 times. This is the equation:
4*4=16 times