Answer:
x= 20
Step-by-step explanation:
a flat angle is, in terms of geometry, the space between an intersection between two lines whose opening measures 180 degrees or 180º. Since the angle is 180º there is no difference between two lines or a line and we can say that the angles in a straight line always add up to 180º.
Step 1
define
according to the graph
3x+80+2x=flat angle=180°
3x+80+2x=180°
Step 2
solve for x
3x+80+2x=180°
5x+80=180
subtract 80 in each side
5x+80-80=180-80
5x=100
divide by 5
(5x)/5=100/5
x=20
happy to help:)
How many ways can Gary, Cayla, and
Pinak finish a bicycling race in first, second,
and third place?
Answer:
6
Step-by-step explanation:
G,C,P
C,P,G
P,G,C
G,P,C
P,C,G
C,G,P
14)
Solve the equation for x.
6(4x - 10) = 84
A)
2
B)
3
4.
6
Answer:
ig D)))))))...
Step-by-step explanation:
......
6*4x = 24x
6*(-10) = -60
24x - 60 = 84
Add 60 to both sides
24x = 144
Divide both sides by 24
x = 6
If one angle of a set of supplementary angles measures 77°, then the other angle measures _____.
If two angles are supplementary, then
the sum of their measures is 180°.
So if the measure of an angle is 77°,
the measure of its supplement is 103°.
We can find the measure of its supplement by taking 180 minus the measure of the original angle which in this case is 180 - 77 or 103°.
Answer:
then the other angle measures _1_0_3_.
A college statistics class at a nearby university has 1,000 students enrolled in it. On a recent exam, the mean score was 75% with a standard deviation of 5%. Use the calculator to show what percentage of students scored between a 73 and 78 (C grade).
Answer:
38.11%
Step-by-step explanation:
Given that:
Mean (μ) = 75, standard deviation (σ) = 5
Z score is a measure in statistics to determine the variation of a raw score from the mean. It is given by the equation:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
To calculate the percentage of students scored between a 73 and 78 (C grade), we need to find the z score for 73 and then for 78.
For x = 73, the z score is:
[tex]z=\frac{x-\mu}{\sigma}=\frac{73-75}{5} =-0.4[/tex]
For x = 78, the z score is:
[tex]z=\frac{x-\mu}{\sigma}=\frac{78-75}{5} =0.6[/tex]
From the probability distribution table:
P(73 < x < 78) = P(-0.4 < z < 0.6) = P(z < 0.6) - P(z < -0.4) = 0.7257 - 0.3446 = 0.3811 = 38.11%
A jar of marbles has 3 blue marbles,
4 red marbles, and 2 green marbles.
What is the probability of drawing a
marble that is green or not red?
Answer:
50/50
Step-by-step explanation:
the other person said it and it makes sense smh
PLZ HELP!! :)
You estimate that a lamb weighs 10 pounds. The actual weight of the lamb is 13 pounds. Find the percent error. Round your answer to the nearest hundredth of a percent.
Answer:
30%
Step-by-step explanation:
Seems as if that lamb was thiccccca than what you thought
Fiona and Pip win some money and share it in the ratio 3:1. Fiona gets £30. How much did
they win in total?
Answer:
£40
Step-by-step explanation:
£30 represents 3 parts of the ratio that Fiona got.
Divide £30 by 3 to find the value of one part of the ratio
£30 ÷ 3 = £10 ← value of 1 part of the ratio
They won £30 + £10 = £40
The perpendicular bisector of chord AB is y=-2x+8, and the perpendicular bisector of chord BC is y= 3x-2. Recall the properties of chords. How can these equations be used to find the center of the circle that represents the whole plate
Answer:
We equate the two expressions since they both pass through the center of the circle.
The coordinate of the center of the circle is (2,4)
Step-by-step explanation:
From circle theorem, we know that the perpendicular bisector of a chord passes through the center of the circle.
Since both equations would pass through the center of the circle, we equate them.
So, -2x+8 = 3x-2
Solving for x, we have
3x + 2x = 8 + 2
5x = 10
x = 10/5
x = 2
Substituting x = 2 into any of the equations, we find the y- coordinate of the center of the circle.
y = -2x + 8 = -2(2) + 8 = -4 + 8 = 4
So, the coordinate of the center of the circle is (2,4)
Personal Answer:
The perpendicular bisector of a chord passes through the center of the circle/plate, meaning that both expressions can contribute to the finding the center. By solving for x and y, one can find the coordinates of the center of the circle.
Plato Sample Answer:
Because the perpendicular bisector of any chord of a circle passes though the center of the circle, these two perpendicular bisectors intersect at that point. You can set up a system of equations and solve to find the coordinates of the center.
I hope this helps!
Find the area of a triangle whose sides are 12 cm 6 cm and 14 cm
Answer:
32
Step-by-step explanation:
add 12 + 6 + 14
Liz flips a coin 70 times. The coin lands heads up 28 times and tails up 42 times. Complete each
statement.
Answer:
whar state ment
Step-by-step explanation:
What are the coordinates of the x-intercept of the equation 2x - 3y = 8?
Answer:
(4;0)
Step-by-step explanation:
y=0
2x-3×0=8
2x=8
x=4
Bob has taken out a loan of $15,000 for a term of 48 months (4 years) at an interest rate of 6.5%. Using the amortization table provided, what will be his total finance charge over the course of his loan?
Monthly Payment per $1,000 of Principal
Rate 1 Year 2 Years 3 Years 4 Years 5 Years
6.5% $86.30 $44.55 $30.65 $23.71 $19.57
7.0% $86.53 $44.77 $30.88 $23.95 $19.80
7.5% $86.76 $45.00 $31.11 $24.18 $20.04
8.0% $86.99 $45.23 $31.34 $24.41 $20.28
8.5% $87.22 $45.46 $24.65 $24.65 $20.52
9.0% $87.45 $45.68 $31.80 $24.89 $20.76
A.
$355.65
B.
$975.00
C.
$1,682.40
D.
$2,071.20
E.
$17,071.20
The total finance charge over the course of his loan is $2071.20.
It is required to find the total finance charge.
What is simple & compound interest?Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.
Given that:
Loan= $15,000
The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be 23.71 per thousand borrowed.
The sum of those 48 payments is ...
=48 × $23.71 =
=$1138.08
That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000.
so his total finance charge will be
= 15 × $138.08
= $2071.20
Therefore, the total finance charge over the course of his loan is $2071.20.
Learn more about simple & compound interest here:
https://brainly.com/question/16666364
#SPJ5
Answer:
D.
$2,071.20
Step-by-step explanation:
How many people can ride in 1 car? In 10 cars?
Answer:
depends on the car
Step-by-step explanation:
Answer:
It depends on how many sits the car have
Step-by-step explanation:
54 out of 72 is what percent
Answer:
the answer is 75 percent
whats 2.638 rounded to the nearest hundredth?
Answer:
2.64
Step-by-step explanation:
The 8 in the thousandths place can round up to .64
What is the lcm of 3,8
Answer: 24
Step-by-step explanation: The LCM of 3 and 8 is 24.
3 6 9 12 15 `18 21 24
8 16 24
What is 12 1/2- (4 1/2
Answer:
Step-by-step explanation:
A circular swimming pool has a diameter of 23 feet. What is the distance around the swimming pool?
Answer:
72.22 ft
Step-by-step explanation:
The circumference is calculated by pi x d
Answer:
About 72.3 feet
To be exact: The distance around the pool is 23π feet
Step-by-step explanation:
The question asks for the distance around the pool.
What does that mean?
It sounds similar to circumference of the circle shaped pool.
So, use the formula: C = (pi)*d
C = (pi) * 23 feet
C = 3.1415926 * 23 = 72.256 feet (approximately)
Need help ASAP. WILL MARK BRAINLIEST
Answer: 150.80 inches.
Step-by-step explanation:
Answer:
75.36
Step-by-step explanation:
You need to multiply the diameter, 24 by 3.14, and the answer is 75.36.
Amy and Brenda are selling tickets to a spring musical. Amy sold 2 less than three times as many tickets as Brenda sold. if b represents the number of tickets Brenda sold, which of the following expressions represents total number of tickets that Amy and Brenda sold to the spring musical.
A. 3b-2
B. 4b-2
C. 3b-6
D.4b-6
Answer:
The answer is B. 4b-2
Step-by-step explanation:
Amy sold 3b-2 and Brenda sold b
If we add them together, their sum would be
3b-2+b= 4b-2
Simplify x + 3x - 36
Answer:
4x-36
Step-by-step explanation:
3x+x=4x
Answer:
4(x - 9)
Step-by-step explanation:
x + 3x - 36 =
= 4x - 36
= 4(x - 9)
I need help with this question please
Write an equation and solve. One telephone company charges $16.95 per month and $0.05 per minute for local calls. Another company charges $22.95 per month and $0.02 per minute for local calls. For what number of minutes of local calls per month is the cost of the plans the same?
Answer:
200 minutes
Step-by-step explanation:
16.95 + 0.05 x = 22.95 + 0.02 x
0.05 x - 0.02 x = 22.95 - 16.95
0.03 x = 6.00
x = 6.00 / 0.03 = 600 / 3 = 200
Answer:
200 minutes
Step-by-step explanation:
First you need to make two equations for the rates of each telephone company
The first equation will be y = 0.05x +16.95 and the second equation will be
y = 0.02x + 22.95
Then you need to set the two equations equal to each other in order to find where the number of minutes of local calls per month is the same
Find the center and radius when x^2+y^2+4x-4y=17
Answer:
the center is (-2,2) and the radius is 5
Answer:
Center: (-2,2)
Radius:5
Step-by-step explanation:
The first step in this problem is to complete the square and to find the equation of this circle in standard form.
[tex]x^2+y^2+4x-4y=17[/tex] can be rearranged to be:
[tex]x^2+4x+y^2-4y=17[/tex]
Now, you can begin to complete the square with both the x and the y:
[tex](x^2+4x+4)-4+(y^2-4y+4)-4=17[/tex]
Adding 8 to both sides and finishing the squares:
[tex](x+2)^2+(y-2)^2=25[/tex][tex](x+2)^2+(y-2)^2=25[/tex]
The coordinates of the center of the circle are (-2,2), and the radius is [tex]\sqrt{25}=5[/tex]. Hope this helps!
what is (4x+1)(4x+1)
Answer:
(4x+1)^2
Step-by-step explanation:
Anything times itself is itself squared
Answer:
8x+2
Step-by-step explanation:
(4x+1) (4x+1)
= 8x + 2
How milliliters will there be?
Answer: Conver 9.7 liters into milliliters!
Me: Ok
Can Yo explain: You
Me: multiply the volume value by 1000
Me: is 9700
Wow Thanks! Goodbye! :You
Me: I am smarter!
one person has corona virus then ten more people catch it how many people have corona virus
Answer:
11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
1 - Person already infected
10 - People who got the virus
1 + 10 = 11
In PQR, m 2 R = 90°. Which ratio represents thе соѕinе of Angle Q?
Answer:
Triangle PQR has right angle R (R = 90 deg).
=> RQ and RP are adjacent sides, PQ is hypotenuse
=> cos Q = QR/PQ
=> Option B is correct
Hope this helps!
:)
The coordinates for a quadrilateral are (0, 0), (-1, 2), (1, 6) and (2, 4). Determine the type of quadrilateral.
Group of answer choices
Parallelogram
Square
Rhombus
Rectangle
Answer:D is a rectangle
Step-by-step explanation:
If nominal GDP is 2400 and the money supply is 400, what is the velocity?
Answer:
The velocity of money is 6.
Step-by-step explanation:
Nominal Gross Domestic Product is the Gross Domestic Product that has been determined by the current prices of goods and services in a market.
Money velocity expresses the rate at which money moves from one entity to another in a given economy. It it the ratio of the nominal Gross Domestic Product to the money supply in an economy.
i.e V = [tex]\frac{P * Y}{M}[/tex]
where: V is the velocity of money, P x Y is the nominal GDP i.e price level x output/real GDP, and M is the money supply. High velocity of money causes an increase in inflation.
Given that, nominal GDP = 2400 and money supply = 400, then;
V = [tex]\frac{2400}{400}[/tex]
= 6
Therefore the velocity of money is 6.
Grace made a dot plot showing the distances she ran each day for two weeks. She says that she usually runs 7 miles each day because that is the distance that occurs most often. Do you agree with Grace's reasoning?
Answer: No
Step-by-step explanation:
Because Mode is not the best centre of tendency use for statistical data. And mode cannot be used for average.
Mean should be used for average values
Answer:
da ba dee da ba doo im blue
Step-by-step explanation:
Grace made a dot plot showing the distances she ran each day for two weeks.
She says that she usually runs 7 miles each day because that is the distance that occurs most often.
Do you agree with Grace’s reasoning?
Use the drop-down menus to explain and show your answer.
Dot plot named as ALTDCDistances RunALTDC has number line from 1 to 7. 1 dot on 1, 3 dots on 2, 3 dots on 3, 3 dots on 4 and 4 dots on 7 are given.
The mode, which is (3,4, or 7) ,(is or is not) a typical distance for the data. The median, which is (3.5,4, or 7),(is or is not) a typical distance for the data. The mean, which is (3,4, or 7) ,(is or is not) a typical distance for the data. So, Grace’s reasoning(is or is not ) correct.
