1. In a triangle the ratio of two
angles is 5:7, and the
third
angle is 72º. What are the
measures of the unknown
angles?
Answer:
The unknown angles are 45 and 63
Step-by-step explanation:
5x + 7x + 72 = 180 (angle sum property)
12x + 72 = 180
12x = 180 - 72
12x = 108
x = 108/12
x = 9
Therefore, 5x = 5*9 = 45
7x = 7*9 = 63
5a - 2(4a + 1) + 6(4a - 1) show work pls
Answer:
21a − 8
Step-by-step explanation:
SURFACE AREA!!! PLEASE HELP
Answer:
The surface area of a prism is the sum of the area of all its external faces. We can also use the formula: Surface area of prism = 2 × area of base + perimeter of base × height.
Step-by-step explanation:
this should help YOU solve it
In a game, the player wins if he rolls a 4 on a number cube (six sides). If the number cube is rolled 24 times, then what is a reasonable prediction for the number of times a 4 will be rolled?
Answer:
6
Step-by-step explanation:
ℎ 4 6
[tex]24 \div 4 = 6[/tex]
what angles are they
Answer:
option d. vertical opposite angle
Tickets for an all-you-can-eat pancake breakfast cost $15 each. Which equation shows the relationship between c, the total cost of the breakfast tickets and t, the number of breakfast tickets bought? * 5 points c = 15t t = 15c c = t + 15 t = c + 15
Answer:
a) c = 15t
Step-by-step explanation:
c = the total cost of the breakfast tickets
t = the number of breakfast tickets bought
Tickets for an all-you-can-eat pancake breakfast cost $15 each
Therefore, the equation that shows the relationship between c, the total cost of the breakfast tickets and t, the number of breakfast tickets bought is written as:
c = $15 × t
c = 15t
Option a is the correct option
6.x = 4y2-12 (4y2 here means 4 y squared)
Work out the value of x when y = 5
Answer:
88
Step-by-step explanation:
Given
x = 4y² - 12 ← substitute y = 5
x = 4(5)² - 12 = 4(25) - 12 = 100 - 12 = 88
In circle O, central angle BOC has a measure of 115°. Find the measure of arc BAC. In your final answer, include all of your work.
Answer:
m<BOC = m<DOA= 115*
m<BOC + m<COD=180*
115* + m<COD + 180* ---> m<COD + 65*
m<COD +m<BOA + 65*
m<COD + m<DOA + m<AOB + m<BAC
m<BAC + 65* + 115* + 65* =245*
m<BAC = mBAC = 245*
Step-by-step explanation:
The measure of arc BAC of the circle O will be 245°.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
In circle O, the central angle ∠BOC has a measure of 115°.
The measure of arc BAC will be given as,
∠BOC + arc BAC = 360°
115° + arc BAC = 360°
arc BAC = 360° - 115°
arc BAC = 245°
The measure of arc BAC of the circle O will be 245°.
More about the circle link is given below.
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A clothing retailer is gathering data on the amount of time each customer spends shopping in its stores. Each location collected 20 pieces of data and will compile that data to determine a population mean. One location has a sample mean of 32.5.
Which statement must be true about this situation?
A.
There is not enough information to make a conclusion about the population mean.
B.
The population mean must be less than 32.5.
C.
The population mean is also 32.5.
D.
The population mean must be greater than 32.5.
Answer:
There is not enough information to make a conclusion about the population mean.
Step-by-step explanation:
Answer:
There is not enough information to make a conclusion about the population mean.
Step-by-step explanation:
Got it right on edmentum
The measure of ∠A is 12° greater than the measure of ∠B. The two angles are complementary. Find the measure of each angle.
The m∠A is __° and m∠B is __°.
Answer:
39° = m∠A
51° = m∠B
Step-by-step explanation:
Complementary angles have a sum of their measures = 90
Let x = m∠B
then x + 12 = ∠A
m∠A + m∠B = 90
x + 12 + x = 90
2x + 12 = 90
2x = 78
x = 39° = m∠A
x + 12 = 39 + 12 = 51° = m∠B
The measure of ∠A is 39°.
The measure of ∠B is 51°.
Here,
The measure of ∠A is 12° greater than the measure of ∠B.
The two angles are complementary.
We have to find the measure of each angle.
What is Complementary angle?
Complementary angles have a sum of their measures is 90°.
Now,
The measure of ∠A is 12° greater than the measure of ∠B.
Let m∠B = x
Then, ∠A = x + 12
The two angles are complementary.
Hence,
m∠A + m∠B = 90
x + 12 + x = 90
2x + 12 = 90
2x = 78
x = 39°
And, x + 12 = 39 + 12 = 51°
Hence, The m∠A is 39° and m∠B is 51°.
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Question #1 Pls help
Answer:
C. Strong Positive Linear Relationship
Step-by-step explanation:
If you were to draw a line through the points all of the points would be near the line therefore it has a strong correlation
The points are going upwards from left to right which indicates that the relationship is positive
From this information we can make a conclusion
This scatter plot has a strong positive linear relationship
PLEASE HELP PLEASEEEEEE
Step-by-step explanation:
Volume =
1/3πr²h
= 1/3×3.14×2²×9
= 37.68 units ³
Hope it will help :)❤
Which of the following systems of linear equations has no solution?
Answer:
3rd choice
Step-by-step explanation:
The answer is the 3rd choice.
x cannot be 3 and 5 at the same time.
x = 3
x = 5
Subtract the first equation from the second equation.
x - x = 5 - 3
0 = 2
Since 0 = 2 is a false statement, there is no solution.
Answer: 3rd choice
Martin deposited $2,000 into an account that earned 5% simple interest over 10 years. What is the amount of interest earned after 10 years?
Answer:
the answer is $1000
Step-by-step explanation:
$2000×5%×10years÷100=$1000
please help with question 3, the diagram is in question 2, my teacher wasnt any help and I missed the lesson :/
Answer:
<2 = 116 degrees
Step-by-step explanation:
alright so if angle 1 is 64 and you need to find angle 2 you gotta think about whats similar between them. They're both on the same line(railroad) and a straight line is 180 degrees. So now with this info all u gotta do is subtract 180-64 to get 116
Please help me with this question please!
Show your work and find the solution to the following system using substitution or elimination:
y = 2x - 1
y = 5x - 7
30=-6x+6
Solve the equation
Answer:
-4
Step-by-step explanation:
24 = -6x
-4 = x
............
Answer:
x = -4
Step-by-step explanation:
30 = - 6x + 6
- 6x = 30 - 6
- 6x = 24
- x = 24 / 6
- x = 4
x = - 4
When the angle of elevation to the sun is 52", a tree casts a shadow that is 13 feet long. What is
the height of the tree? Round to the nearest tenth.
Answer:
72
Step-by-step explanation:
Answer:
x=10.156713
Step-by-step explanation:
tan(52)=13/x
matt is standing on top of a cliff 305 feet above a lake. the measurement of the angel of depression to a boat on the lake is 42 degrees. how far is the boat from Matt?
Answer:
Distance of boat from Matt = 274.5 ft (Approx.)
Step-by-step explanation:
Given:
Height of cliff = 305 ft
Angle = 42°
Find:
Distance of boat from Matt
Computation:
Tan 42° = Distance of boat from Matt / Height of cliff
0.90 = Distance of boat from Matt / 305
Distance of boat from Matt = 274.5 ft (Approx.)
HELPPPPPPP!!!!!! i need this today
Answer:
(d) 78√3
hope it is right answer for it !!
Bling sold muffins at her club's bake sale. She spent $28.50 on
supplies. She sold her muffins for $0.75 each, and made a total of
$36.75
Write and solve an equation to find out how many muffins Bling
sold.
Answer:
sorry but i dont know the answer
Step-by-step explanation:
because i didnt have brain
Answer:
Step-by-step explanation:
Given : Bling spent $28.50 on supplies.
He sold his muffins for $0.75 each.
Profit he made = $36.75
Total money he made = Money he made in supplies + Profit he made
= $28.50 + $36.75
= $ 65.25
Then, the number of muffins he made = (Total money he made ) ÷ ( Cost of each muffin)
=( $ 65.25) ÷ ($0.75 )
= 87
Hence, the number of muffins he made = 87.
The main height of a basketball team is 6 feet with the standard deviation of 0.2 feet. The team center is 6.9 feet tall. Find the center Z score. Is the score unusual?
Complete Question
The mean height of a basketball team is 6 feet with the standard deviation of 0.2 feet. The team center is 6.9 feet tall. Find the center Z score. Is the score unusual?
Answer:
Center Z score = 4.5
The score is unusual
Step-by-step explanation:
The mean height of a basketball team is 6 feet with the standard deviation of 0.2 feet. The team center is 6.9 feet tall. Find the center Z score. Is the score unusual?
The formula for z score is:
z = (x-μ)/σ, where
x is the raw score = 6.9feet
μ is the population mean = 6feet
σ is the population standard deviation = 0.2 feet
Hence:
Z = 6.9 - 6/0.2
Z = 0.9/0.2
Z = 4.5
Yes this score is unusual
Explore equivalent ratios by using the slider. Complete the sentences below. For every __ apples, there are 6 oranges.
Answer:
For every 2 apples, there are 6 oranges
Step-by-step explanation:
I got it on khan so trust me
(P. S. could u give me brainliest?)
1x+2x+3x=180 find the measure of each angles.
Answer:
x=30 is the answer no hate if I'm wrong :)
Step-by-step explanation:
The sum of angles in a triangle is 180 so we add them all and we get x=30.
Then find the measure of each angle by substitution.
Hello can someone pls help me with this!
Answer:
slope = 6x
Step-by-step explanation:
the formula to find slope between 2 points is "m = (y2 - y1)/(x2-x1)", or "m = rise/run". so when you plug in the numbers, you get "m = (12 - 6)/(2 - 1)", which gives you "m = 6/1", which is just 6x.
Answer:
Slope = 6
Step-by-step explanation:
From the graph we get:
(x1, y1) = (1, 6) and
(x2, y2) = (2, 12)
Slope = (y2 - y1) / (x2 - x1)
= (12 - 6) / (2 - 1)
= 6 / 1
= 6
What is the average rate of change over the interval 1≤x≤3
9514 1404 393
Answer:
3
Step-by-step explanation:
The average rate of change is the slope of the line between the points at the ends of the interval: (1, -2) and (3, 4). That is given by the slope formula ...
m = (y2 -y1)/(x2 -x1)
m = (4 -(-2))/(3 -1) = 6/2
m = 3
The average rate of change on the interval is 3.
Please help me thanks
Answer:
2
Step-by-step explanation:
Select all the values that are equivalent to -(7/8)
Answer:
last option
the correct answer is
- (- 7 / - 8)
Which types of dilation are the given scale factors? Select Expansion or Contraction to correctly describe the type of dilation for each given scale factor.
Answer:
Expansion
Contraction
Expansion
Contraction
Step-by-step explanation:
The correct type of dilation for given scale factors are 1) contraction, 2) contraction, 3) expansion 4) contraction
What is dilation?Dilation is a type of transformation in geometry, in which the original figure changes its scales, either reduce or enlarge.
Given are scale factors,
Scale factor symbolized by k,
We know that, when k > 1, the figure expands or enlarge.
When k < 1, the figure reduces or contract.
And when k = 1, the figure is congruent to the dilation.
1) -5 = (contraction)
1 > -5, therefore, figure is contraction.
2) -1/4 = (contraction)
1 > -1/4, therefore, figure is contraction.
3) 3.5 = (expanding)
1 < 3.5, therefore, figure is expanding.
4) 6/7 = (contraction)
6/7 = 0.8571 < 1, therefore, figure is (contraction)
Hence, -5 = (contraction), -1/4 = (contraction), 3.5 = (expanding) and 6/7 = (contraction)
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