Answers
(x+2) = 55 degrees
x = 53 degrees
the given is 72 degrees
Explanation:
A triangle always equals 180 degrees. It was given that one of the angle measures is 72 degrees. 180-72=108. Now I need to find the value of x. (x+2)+x=108. Solving this equation I get x=53. Substitute this back into the angle measures and u get the answers as stated above.
Related Questions
Consider the sample space given below.
A die is a cube with six sides on which each side contains one to six dots. Suppose a blue die and a gray die are rolled together, and the numbers of dots that occur face up on each are recorded. The possible outcomes of the sample space S are listed as follows, where in each case the die on the left is blue and the one on the right is gray.
S= {11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66}
Write the following event as a set.
The event that the numbers showing face up are the same.
E = ....................?
Compute the probability of E.
Answers
Answer:
1 / 6
Step-by-step explanation:
Probability is a measure of the likelihood of an event to occur. The probability for an event to occur is between 0 and 1.
The Probability of an event occurring is the ratio of the number of event in the sample space to the total number of possible outcomes.
The number of possible outcomes [n(S)] from rolling a blue die and a gray die is 36.
n(S) = 36
Let E be an event that the numbers showing face up are the same.
E = {11, 22, 33, 44, 55, 66}, n(E) = 6
The probability of E = P(E) = number event / number of possible outcomes =
P(E) = n(E) / n(S) = 6 / 36 = 1 / 6
A statistics student has a mean score of 92 in the first 3 tests. Suppose there are a total of 4 tests and all of them have equal weight. You can also assume that there is no extra credit in the last test. What is the best possible final average this student can get
Answers
Answer:
The best possible final average this student can get is 94.
Step-by-step explanation:
The average score is given by the sum of the scores of all tests divided by the number of tests.
In this question:
First three tests: Mean score of 92, so total score of 92*3 = 276
Best possible score, with 4 tests:
In the first three, the total is 276. The best possible score is with a grade of 100 in the fourth test. The score will be:
[tex]M = \frac{276+100}{4} = \frac{376}{4} = 94[/tex]
The best possible final average this student can get is 94.
The sum of the squares of two numbers is 26. The difference of the two
numbers is 4. Find the two numbers.
Answers
Answer:
i dont know the answer but good luck
Step-by-step explanation:
2
If f(x) = -2x2- x, what is f(2) and f(3)?
Answers
If f(x) = -2x^2 - x, what is f(2) and f(3)?
f(2) = -2x^2 - x
= -2(2)^2 - 2
= -4^2 - 2
= 16 - 2
f(2) = 14
f(3) = -2x^2 - 2
= -2(3)^2 - 2
= -6^2 - 2
= 36 - 2
f(3) = 34
Please provide with an explanation to get brainiest
Answers
how many months are in y years and m months?
Answers
Answer:
Step-by-step explanation:
There are 12 months in one year, so there would be 12*y in y years.
Answer:
there 12 months in one 1 year
Step-by-step explanation:
Please tell me weather it’s true or fade for each one please!
Answers
Answer:
False, true, true, false, false
Step-by-step explanation:
A water tank already contains 55 gallons of water when Baxter begins to fill it. There is a crack in the tank and water begins to leak at a rate of 8 gallons per minute. Find the amount of water in the tank 6 minutes after Baxter begins filling the tank.
Answers
Answer:
Step-by-step explanation:
Therefore, the volume of the water in the tank 25 minutes after Baxter begins filling the tank is 255 gallons.
Step-by-step explanation:
Linear Equation; Ax+By=C
A linear equation to model this situation:
8x + 55 = C
Where;
8 is for the rate of gallons.
'X' is the minutes.
55 is the gallons of water the tank already contained.
8(25) + 55 = 255
Where;
8 is for the rate of gallons.
25 is the minutes.
55 is the gallons of water the tank already contained.
$5200 at 7.36% for 54 months
a. Find the interest earned.
$
b. Find the balance of the account.
$
Answers
Answer:
Step-by-step explanation:
A)5200*54/12*7.36/100=5440.44
b)5200+5440.4410,640.44
Answer:
a. $1722.24 b. $6922.24
Step-by-step explanation:
for a: 5200*0.0736*54/12= 1722.24
for b: 1722.24+5200= 6922.24
A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are randomly selected as they come off the production line, what is the probability that both are defective (assuming that they are independent)
Answers
Answer:
0.0025 = 0.25% probability that both are defective
Step-by-step explanation:
For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
5 percent of these are defective.
This means that [tex]p = 0.05[/tex]
If two items are randomly selected as they come off the production line, what is the probability that both are defective
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025[/tex]
0.0025 = 0.25% probability that both are defective
Sam earned $154 washing 7 cars. He earned the same amount for washing each car
Select all the equations that show reasonable estimates for the amount Sam eamed washing each car
A $140 = 7 = $20
B. $190 = 9 = $10
C. $160 = 8=320
D. $150 = 5= $10
E $150 = 3= $50
Answers
Answer:
the answer is A cause you divide 7 by 140 and the answer is 22 so 20 is the closest
I will give brainiest.
Answers
Answer:
the third one is the answer
The graph shows the price of
different lengths of two types of
rope.
If you buy $1.00 of each kind of
rope, which one will be longer?
Answers
Answer:
Nylon
Nylon has a longer x-input for its' y-output, so it is longer.
Find the mid segment of GH
Answers
Answer:
B. 2
Step-by-step explanation:
Based on the Midsegment of a trapezoid theorem:
GH = (BC + FE)/2
9x - 3 = (19 + (5x + 1))/2) (substitution)
9x - 3 = (20 + 5x)/2
Cross multiply
2(9x - 3) = 20 + 5x
18x - 6 = 20 + 5x
Collect like terms
18x - 5x = 20 + 6
13x = 26
Divide both sides by 13
x = 26/13
x = 2
Help how do I solve this and what is the answer. Explain plz
Answers
over a period of 3 hours, the outside temperature changed an average of -2.25 fahrenheit per hour. select the correct sentence that represents this situation.
the temperature decreased by 2.25 degrees fahrenheit from the beginning to the end of the 3-hour period.
the temperature increased by 0.75 degrees fahrenheit from the beginning to the end of the 3-hour period.
the temperature increased by 6.75 degrees fahrenheit from the beginning to the end of the 3-hour period.
the temperature decreased by 6.75 degrees fahrenheit from the beginning to the end of the 3-hour period.
Answers
Answer:
D
Step-by-step explanation:
-2.25 x 3 = 6.75
the temperature decreased by 6.75 after 3 hours
Answer:
The temperature decreased by 6.75 degrees Fahrenheit.
Step-by-step explanation:
This is answer choice D because the Start of Temperature is:
70F
Start Time: 9AM
(70,9) --> (67.75,10) --> (67.50,11) --> (67.25, 12)
all work must be shown and easy to read or follow.
Find the Greatest Common Factor of the Numerator and Denominator
1. 1248
2. 2024
3. 1070
Answers
Answer: The answer is two.
Step-by-step explanation: start by making a tree diagram and dividing all three numbers by two. Each number needs to end in whole numbers with no decimals or fractions. 1248 will be 624, 2024 will be 1012, and 1070 will be 535. Then as you keep dividing the only numbers that match together is two on all three as you will get 3 and 13 added to 1248, 11 and 23 added to 2024, and 5 and 107 to 1070. The only numbers that match are two so your answer is two.
A man borrowed $3500 from a bank for 6 months. The bank collected 7-1/2% simple interest on the date of maturity. How much did the man pay for use of the money and what was the amount he repaid the bank on the due date of the note
Answers
Answer:
$3762.50
Step-by-step explanation:
From the problem, we can see our initial loan is 3500. On the return date, the interest of the loan is collected 7.5%. To find out how much the man paid for the loan, we need to find out how much he paid in interest, which is the percentage of the interest converted to a decimal x the initial loan. We get $262.5, and then we need to pay back the interest plus the initial loan we borrowed from the bank, so we need to add those together to get:
$3762.50
In the first quadrant you start at (6, 10) and move 6 units right and 4 units down what point will you end up with
Answers
Answer:
(12,6)
Step-by-step explanation:
If you move 6 units right, you get to (12,10). Moving 4 units down takes you to (12,6).
What is the completely factored form of this polynomial?
81x4 − 16y4
Answers
Answer:
( 9 x^ 2 + 4 y ^2 ) ( 3 x + 2 y ) ( 3 x − 2 y )
The completely factored form of the polynomial 81x^4 - 16y^4 is:
(3x + 2y)(3x - 2y)(9x^2 + 4y^2)(9x^2 - 4y^2)
Determining the completely factored formApply the difference of squares formula:
(9x^2)^2 - (4y^2)^2
Factor the difference of squares:
(9x^2 + 4y^2)(9x^2 - 4y^2)
Apply the difference of squares formula again:
(3x)^2 + (2y)^2
(3x)^2 - (2y)^2
Factor the difference of squares:
(3x + 2y)(3x - 2y)
Putting it all together, the completely factored form of the polynomial 81x^4 - 16y^4 is:
(3x + 2y)(3x - 2y)(9x^2 + 4y^2)(9x^2 - 4y^2)
Learn more on polynomials here https://brainly.com/question/4142886
#SPJ2
If there are 52 successful outcomes in a sample with a size of 80, what is the
sample proportion?
A. 0.36
B. 0.72
C. 0.52
D. 0.65
Answers
Answer:
D. 0.65
Step-by-step explanation:
Do 52/80 to get the answer which is D.
Which quadrant is (-3,7) in?
A: 1 or |
B: 2 or ||
C: 3 or ||
D: 4 or IV
Answers
Simplify 42/56 please help
Answers
Answer:
3/4
Step-by-step explanation:
The GCF of 42 and 56 is 14. If you divide both the numerator and the denominator by 14 we get 3/4 = 0.75 or 75%
Answer: 3/4
Step-by-step explanation:
42 divided by 14 is 3
54 divided by 14 is 4
We have a bilateral triangle with base length 2 and sidelengths x where x is increasing at a rate
of 5 units per minute.
Find the rate of change of the side angle teta when x=2.
Answers
Answer:
[tex]\frac{5\sqrt{3} }{6}[/tex]
Step-by-step explanation:
Given :
base length = 2
side lengths = x
dx/dt = 5 unit/min
Determine d∅ / dt at x = 2
d∅ / dt at x = 2 = [tex]\frac{5\sqrt{3} }{6}[/tex]
attached below is a detailed solution
DUE IN 5 MINUTES!!!1!!11!1!!1
123 + 392 - 234 x 2 ÷ 3 + 223 x 14 =
Answers
Answer: 3481
Step-by-step explanation:
(4,9) (2,6) (0,3) y intercept please
Answers
Hi there!
Hope this helps!
Write the equation of the line in fully simplified slope-intercept form.
y
12
11
10
9
8
7
6
5
4
3
2
1
-12-11-10-9-8-7-6 -5 -4 -3 -2 21
1 2 3 4 5 6 7 8 9 10 11 12
-3
-4
-5
-6
-7
-10
-11
Answers
Answer:
y = ⁴/3x - 7
Step-by-step explanation:
✔️First, find the slope (m):
Slope (m) = ∆y/∆x = 4/3
m = ⁴/3
✔️Determine the y-intercept (b):
The y-axis is intercepted by the line at y = -7, therefore the y-intercept (b) would be -7.
b = -7
✔️Write the equation:
Substitute the value of m = ⁴/3 and b = -7 into y = mx + b (slope-intercept form equation).
y = ⁴/3x + (-7)
y = ⁴/3x - 7
8. There were 512 people at the Talent Show,
Admission was $1.25 for adults and 50
for children. The receipts were $406.75.
How many of each attended?
Answers
Answer:
7.9 of each
Step-by-step explanation:
What is the volume of the rectangular prism shown?
Answers
Answer:
18 3/64
Step-by-step explanation:
i did test trust me
Will mark brainliest!!!
Solve for x
Answers
Answer:
2
Step-by-step explanation:
