Answers
∠A=62°
∠B=54°
∠C=64°
EXPLANATION:
∠C inside triangle = 180-116= 64°
Three angles in a triangle add up to 180°
So:
(2x+4)+(3x-13)+64=180
2x+3x+4-13+64=180
5x+55=180 |-55 from both sides
5x= 180-55
5x=125 | ÷both sides by 5
x=25
∠A=3x-13
∠A= 3(25)-13
∠A=75-13
∠A=62°
∠B=2x+4
∠B=2(25)+4
∠B=50+4
∠B=54°
Related Questions
Write the equation of a line in point-slope form whose slope is 7 and passes through the point (7, -2).
Answers
Answer:
Step-by-step explanation:
m=7
So by using point slope form
y-y1=m(x-x1)
y-(-2)=7(x-7)
y+2=7x-49
y-7x+51=0
OMG?!?!?!!?! HELP!!!?!?!?! PLEASE !?!?!? Thanks to those who do :D <3
A pump can fill 1800KL tank in one hour. How long would it take to fill a 90 KL tank?
Answers
A chemist made six independent measurements of the sublimation point of carbon dioxide (the temperature at which it changes to dry ice). She obtained a sample mean of 196.64 K with a standard deviation of 0.66 K.
1. Use the Student’s t distribution to find a 95% confidence interval for the sublimation point of carbon dioxide.
2. Use the Student's t distribution to find a 98% confidence interval for the sublimation point of carbon dioxide.
3. If the six measurements had been 196.35, 196.32, 196.4 198.02, 196.36, 196.39, would the confidence intervals above be valid? Explain.
Answers
Answer:
(195.733, 197.547)
Step-by-step explanation:
Given that:
Mean, m = 196.64 K
Standard deviation, s = 0.66 K
Sample size, n = 6
Confidence interval :
Mean ± margin of error
Margin of error =Tcritical * s/sqrt(n)
Tcritical at α = 98% ; df = 6 - 1 = 5
Tcritical = 3.3648
Margin of Error = 3.3648 * 0.66/sqrt(6) = 0.9066
Confidence interval = 196.64 ± 0.9066
Lower boundary = 196.64 - 0.9066 = 195.733
Upper boundary = 196.64 + 0.9066 = 197.547
(195.733, 197.547)
Given the measurement :
X = 196.35, 196.32, 196.4 198.02, 196.36, 196.39
Mean = ΣX / n = 1179.84 / 6 = 196.64
Yes, confidence interval will be valid as theean obtained is within the calculated interval
Choose the symbol that makes a true statement: -15____ -16
=
>
≤
Answers
-12(5/6a-7/8)+1/14(3 1/2-1 2/5)
Answers
Answer:
10a + 10.65
Step-by-step explanation:
- 12(5/6a - 7/8) + 1/14(3.5 - 1.4)
- 12(5/6a - 7/8) + 0.25 - 0.1
10a + 10.5 + 0.25 - 0.1
10a + 10.65
Kevin buys a dining table and. 8 identical chairs for. $294. The table costs $198. How much does each chair cost? Show as bar models
Answers
Answer:
12 dollars per chair
Step-by-step explanation:
294 - 198 = 96
96 divided by 8 = 12
Also could I have brainlist, if I’m wrong my bad.
a map that created using a scale of 1 inch equals 3 miles shows a lake with an area of 18 square inches was a actual area of the lake
Answers
Answer:
Step-by-step explanation:
18in^2(3mi/in)^2
18in^2(9mi^2/in^2)
162 mi^2
This is the table answer this please
Answers
Answer:
so answer is b.42
Step-by-step explanation:
3 7
6 14
9 21
every time width increase by 3 length increase by 7 so:
12 28
15 35
18 42
What's the distance between the points (2,4) and (10,-8)?
Answers
Answer:14.4222
Step-by-step explanation:
5th grade math. Correct answer will be marked brainliest.
Answers
Answer: The answer would be (0,3)
Answer:
(0,3)
Step-by-step explanation:
The horizontal line is always x, and the vertical line is always y. You can see that D is 0 to the right and 3 up, so the answer will be (0,3)
If we use 3 eggs in a 15 cm mold-
How many eggs do we use in a 25 cm mold?
Answers
Given: −3(a–b) < 0, which is the greater: a or b? Give numerical examples.
Answers
Answer:
a
Step-by-step explanation:
a = 3
b = 2
divide by -3, change the sign:
(a-b) > 0
a always has to be greater than be to be true
Answer: a > b
Start Learning and Start Growing
Help pls and explain I need 10 mins left
Answers
Answer:
32
Step-by-step explanation:
6 movie tickets cost $72. At this rate, how much would 2 movie tickets cost? Use any method or strategy to show how you solved the problem below in the space provided. SHOW YOUR WOrk
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 24$
Explanation:
72 / 6 = 12$
12$ for 1 ticket
12 x 2= 24$ for 2 tickets
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Bobby, Jessy, Carl, and Andrea are working a shift at the concession stand during their school football game. The football game has four quarters, and each person works one of the quarters.
Answers
Using the arrangements formula, it is found that there are 24 ways to arrange the people as such one works each quarter.
What is the arrangements formula?The number of possible arrangements of n elements is given by the factorial of n, that is:
[tex]A_n = n![/tex]
In this problem, 4 people will be arranged, hence:
[tex]A_4 = 4! = 24[/tex]
Hence, they can be arranged in 24 ways.
More can be learned about the arrangements formula at https://brainly.com/question/24648661
A system of equation is shown below.
2x + 3y = 34
y = 5x
What is the value of x + y ?
Answers
Answer: 29
Step-by-step explanation:
2 + 3 = 5
34 = 5 = 29
Will give brainly Simplify 5/10
Answers
A company receives shipments from two factories. Depending on the size of the order, a shipment can be in 1 box for a small order, 2 boxes for a medium order, 3 boxes for a large order. The company has two different suppliers. Factory Q is 60 miles from the company. Factory R is 180 miles from the company. An experiment consists of monitoring a shipment and observing B, the number of boxes, and M, the number of miles the shipment travels. The following probabity model describes the experiment:
Factory Q Factory R
small order 0.3 0.2
medium order 0.1 0.2
large order 0.1 0.1
a. Find PB M(b, m), the joint PMF of the number of boxes and the distance.
b. What is E[B], the expected number of boxes?
c. Are B and M independent?
Answers
Answer:
A) PB M(b, m), we have;
b = 1
b = 2
b = 3
B) E(B) = 1.7
C) No they are not independent
Step-by-step explanation:
A) We are told that a shipment can be in 1 box for a small order, 2 boxes for a medium order, 3 boxes for a large order. Thus;
For PB M(b, m), we have;
b = 1
b = 2
b = 3
B) Factory Q is 60 miles from the company. Thus, under factory Q in the table, m = 60
Factory R is 180 miles from the company. Thus under factory R in the table, m = 180
Now;
P_B (b) for b = 1 which is small order is;
P_B (b) = 0.3 + 0.2 = 0.5
P_B (b) for b = 2 which is medium order is;
P_B (b) = 0.1 + 0.2 = 0.3
P_B (b) for b = 3 which is large order is;
P_B (b) = 0.1 + 0.1 = 0.2
Thus;
E(B) = Σb•P_B (b) = (1 × 0.5) + (2 × 0.3) + (3 × 0.2)
E(B) = 0.5 + 0.6 + 0.6
E(B) = 1.7
C) No, they are not independent. This is because from the table we are given, P_B,M at b = 1 and m = 60 is given as 0.3.
Whereas, for B and M to be independent, P_B,M at b = 1 and m = 60 has to be equal to (P_M(m) under m = 0.3) multiplied by P_B(b) for b = 1.
Instead what we have is P_M(m) under m = 0.3 as; 0.3 + 0.1 + 0.1 = 0.5. Which means (P_M(m) under m = 0.3) multiplied by P_B(b) for b = 1 gives;
0.5 × 0.5 = 0.25 which is not equal to P_B,M = 0.3 at b = 1 and m = 60
A fair charges $8 to enter and $0.50 per ticket. Write an algebraic expression to represent
the total amount spent.
Answers
If you need me to explain anything I totally will
Misha needs 1.75 yards of green fabric per costume. He will make 13 costumes.
Misha needs____
yards of green fabric in all.
For the blank spaces above the options are 7.4, 14.75, 21, 22.75.
(Btw it’s not 7.4 I already tried that and it was wrong)
Answers
Answer:
22.75 is the correct answer
Answer:
wrong question sorry!
Step-by-step explanation:
Suppose that a high school marching band has 125 members. Of these 125 band members, 41 are seniors, 24 play the trumpet, and 10 are seniors who play the trumpet.
What is the probability that a randomly selected band member plays the trumpet given that he or she is a senior?
Answers
Answer:
8%
Step-by-step explanation:
10/125 * 100% = 8%
A store sold 14 more colored shirts than white shirts. The white shirts cost $9.95 and colors cost $10.50. If a total of $310.60 were sold, how many of each type were sold?
Answers
9514 1404 393
Answer:
8 white shirts22 colored shirtsStep-by-step explanation:
Let c represent the number of colored shirts sold. Then c-14 is the number of white shirts sold. The total revenue is ...
10.50c +9.95(c -14) = 310.60
20.45c -139.30 = 310.60 . . . . . . simplify
20.45c = 449.90 . . . . . . . . . . add 139.30
c = 22 . . . . . . . . . . . . . . . . . divide by 20.45
c-14 = 8
22 colored shirts and 8 white shirts were sold.
I need help, with this
Answers
The length of a rectangle is 2 units more than the width. The area of the rectangle is
35 units. What is the width, in units, of the rectangle?
Answers
Jared bakes 2 apple pies he cuts the 2 pies into pieces each pieces is 1\8 of a pie
Answers
So out of the 2 pies there would be 16 pieces
Answer:
there is 16 pieces
Step-by-step explanation:
At a school district there are 55 employees. If next year the number of employees increases by
20%, what will be the new amount of employees?
Answers
Answer:
66
Step-by-step explanation:
Soes a square have any parallel lines? If yes how many
Answers
Answer:
2 sets of parallel lines
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
2
if im correct can i get crown
A baseball player throws a ball from second base to home plate. How far does the player throw the ball? Include a diagram showing how you got your answer. Decide how many decimal points of accuracy are reasonable. Explain your reasoning.
Answers
Answer:
Distance=123.28. Two decimal places is reasonable, because it gives a close approximate to the exact answer, while remaining short and easy to use.
Step-by-step explanation:
Use Pythagorean theorem.
90^2+90^2=c^2
8100+8100=16200
The square root of 16200 is 127.279220614
127.279220614~127.28
Consider random samples of size 80 drawn from population A with proportion 0.48 and random samples of size 66 drawn from population B with proportion 0.13 . (a) Find the standard error of the distribution of differences in sample proportions, . Round your answer for the standard error to three decimal places. standard error
Answers
Answer:
Standard error = 0.070
Step-by-step explanation:
Formula for the standard error of the distribution of differences in sample proportions is;
σ_(A - B) = √((p_a^(1 - p_a^)/n_a) + (p_b^(1 - p_b^)/n_b))
We are given;
p_a^ = 0.48
n_a = 80
p_b^ = 0.13
n_b = 66
Thus;
σ_(A - B) = √((0.48(1 - 0.48)/80) + (0.14(1 - 0.13)/66))
σ_(A - B) = √0.00496545455
σ_(A - B) = 0.070
Melanie moved to Toledo on September 14 and returned home for a visit fifteen months later. When did she return home?
A. November 13th
B. December 13th
C. November 14th
D. December 14th
Answers
Answer:
D. December 14th.
Answer:
Dec 14 next year
Step-by-step explanation:
just add 15 months lol