Answers
Hello!
This question is about relating vertical angles and their arc lengths.
Vertical angles have equal angle measures, meaning that they will also have the same arc measure.
We know that arc QR and arc UT have equal angle measures because they are formed with vertical angles.
That means since we know the measure of the other two arcs, which will both be 125 since they are formed with vertical angles, we can solve for the two unknown arc lengths.
A circle is 360 degrees, meaning that we can make the following equation,
[tex]360=QR+UT+125+125[/tex]
[tex]QR+UT+250=360[/tex]
[tex]QR+UT=110[/tex]
Since QR = UT
[tex]QR/UT=55[/tex]
Now, we can solve for arc URT using all the arc measures we have.
[tex]URT=125+55+125[/tex]
[tex]URT=305[/tex]
Hope this helps!
Related Questions
Find the area of this circle.
6 in.
Use 3.14 for
Answers
Use slopes and y-intercepts to determine if the lines 6x+y=−1 and −2x−5y=1 are parallel.
Answers
Answer:
The two lines are not parallel.
Step-by-step explanation:
Every linear equation follows this structure:
y = mx + b
y is the y value
x is the x value
m is the gradient/slope of the line
b (or sometimes c) is the y-intercept of the line
Firstly, we have to get the y term on one side by itself.
6x + y = -1
-6x -6x
y = -6x - 1
-2x -5y = 1
+2x +2x
-5y = 2x + 1
Secondly, we make it so the y term is just the y value.
The first equation is already like this, so we don't need to do anything to that.
-5y = 2x + 1
÷ -5 ÷ -5
y = (2x + 1) / -5
This can be expanded and simplified to:
y = -2/5x - 1/5
Thirdly, we have to compare the slopes and y-intercepts.
y = -6x - 1
y = 2/5x - 1/5
If the slopes are the same and the y-intercepts are different, they are parallel. However, the slopes are different, therefore they are not parallel.
You purchase a new car for $24,000. If you obtain a 5 year bank loan at 2.75% compounded monthly, what is your monthly loan payment?
Answers
Answer:
The monthly loan payment is of $458.88.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Amount owed after 5 years:
Loan of 24000 means that [tex]P = 24000[/tex]
5 years means that [tex]t = 5[/tex]
Interest rate of 2.75% means that [tex]r = 0.0275[/tex]
Compounded monthly means that [tex]n = 12[/tex]
The amount is A(5). So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(5) = 24000(1 + \frac{0.0275}{12})^{12*5}[/tex]
[tex]A(5) = 27533[/tex]
What is your monthly loan payment?
$27,533 in 5 years = 5*12 = 60 months. So
27533/60 = 458.88
The monthly loan payment is of $458.88.
Simplify: 9^0. I’m a bit confused so can somebody please help me? (:
Answers
Answer:
the answer is 1 because the power of any no. 0 is always 1
PS: WILL GIVE BRANLIEST
Select ALL the ratios that are equivalent to 16 : 6
a. 3 to 8
b. 32 : 12
c. 4 to 2
d. 8 to 3
Question 3 options:
a & b
b & c
b & d
a & c
Answers
I'm pretty sure it a 3 to 8 and 32 to 12
Answer:
The answer will be b & c.
The answer will be e B and C that is 32:12 and 4 to 2. Because it is equivalent to 16: 6.
A circle has a radius of 12. what is the circumference of the circle
Answers
Pi 2 x 12
24 pi =75.36
Answer:
14 because of its addition
Step-by-step explanation:
πr²=x
=12+2+x
=14
Please help I’ll mark you as brainliest if correct!
Answers
Answer:
4 feet
Step-by-step explanation:
MN/RT=MO/RS
6/3=8/RS
6RS=24
RS=24/6
RS=4
SORRY IF LATE AND WRONG!!!
A gym offers classes for students to attend. If both the range and median number of students attending each class was 13 students, which of the following box-and-whisker plots could represent the number of students attending the classes?
Answers
Answer:
3
one
will represent
the student
Given lines l, m and n are all parallel and cut by two transversal lines, find the value
of x.
Answers
Step-by-step explanation:
u should attach the picture of the question because its difficult to identify where x is located
kindly attach the picture
Select the correct difference. 5d^2 + 4d - 3 less 2d^2 - 3d + 4
Answers
Answer:
[tex]3d^2+ 7d- 7[/tex]
Step-by-step explanation:
Given
[tex]P_1 = 5d^2 + 4d - 3[/tex]
[tex]P_2 = 2d^2 - 3d + 4[/tex]
Required
P1 less P2
This means that we subtract P2 from P1.
So, we have:
[tex]P_1 - P_2 = 5d^2 + 4d - 3 - (2d^2 - 3d + 4)[/tex]
Remove bracket
[tex]P_1 - P_2 = 5d^2 + 4d - 3 - 2d^2 + 3d - 4[/tex]
Collect like terms
[tex]P_1 - P_2 = 5d^2 - 2d^2+ 4d + 3d- 3 - 4[/tex]
[tex]P_1 - P_2 = 3d^2+ 7d- 7[/tex]
The difference is: [tex]3d^2+ 7d- 7[/tex]
3. The bakers at Healthy Bakery can make 240 bagels in 5 hours. How many bagels
can they bake in 13 hours? What was that rate per hour?
Answers
The answer is 624 bagels in 13 hours. The rate is 48 bagels per hour.
240/5 = 48
48 * 13 = 624
Find the surface area of the rectangular prism below.
Answers
Answer:
630 ft
Step-by-step explanation:
(11 * 15) * 2 = 330 ft
(5 * 15) * 4 = 300 ft
330 + 300 = 630 ft
Which type of sequence is shown? 5, 10, 15, 20, 25, . . .
geometric
both arithmetic and geometric
arithmetic
neither arithmetic nor geometric
Answers
Answer:
Arithmetic Sequence
Step-by-step explanation:
In Arithmetic sequence each term increases by adding/subtracting some constant k. This is in contrast to a geometric sequence where each term increases by dividing/multiplying some constant k.
Someone Please help me
Answers
Answer:
B. $104.95
Step-by-step explanation:
$160.45-$55.50=$104.95
PLEASE HELP ASAP ???
Answers
Answer:
-1
Step-by-step explanation:
Find the value of x in each figure
Answers
Answer:
Value of variable 'x' is 18.
Step-by-step explanation:
From the picture attached,
In right triangle XYZ,
m(∠YXZ) = (3x + 11)°
m(∠XYZ) = 90°
m(∠XZY) = 25°
By applying triangle sum theorem in the given triangle,
m(∠YXZ) + m(XZY) + m(∠XYZ) = 180°
(3x + 11)° + (25)° + (90)° = 180°
3x + 126 = 180
3x = 54
x = 18
Therefore, value of variable 'x' is 18.
Let g(x)=3x−1 and f(x)=x2+1. Find (g◦f)(−5).
(g◦f)(−5)=nothing (Simplify your answer.)
Answers
Answer:
-384
Step-by-step explanation:
Solve for each function first.
g(-5) = 3(-5) - 1
g(-5) = -16
f(-5) = -5^2 + 1
f(-5) = -24
Multiply.
(fg)(-5) = (-16 x -24)
(fg)(-5) = -384
Not entirely sure if this is correct but this seemed the most obvious way to do it so I did it. Let me know if I'm wrong.
Jose car rental company charges $2.75 for a pick up plus $1.25 for each mile driven. How much would you pay to travel 25 miles ? How far could you travel for $100 ? Please no link. I can't view them
Answers
Answer:
it would be 28.44 sorry if it does not help
a student needs to fill a 12 gallon fish tank. The student has a container that holds 1/3 gallon of water. how many times will the student need to fill the container with water in order to fill the fish tank completely
Answers
Explanation:
12 divided by 1/3 is 36
You can trust this answer
Goodluck!
The area of a rectangle is 600 square meters. The width is 30 meters. What is the length?
Answers
Answer:
why is brainlys tutor system not free anymore
Step-by-step explanation:
I really need to know all of a sudden it's not free anymore
Answer:
A=L×W
600=L×30
600/30=L
L=20
therefore the length is 20m
Do quadratic functions and linear functions have asymptotes? If so how do you identify them
Answers
Answer:
wow thats some hardcore math ur learning
Step-by-step explanation:
Help me please! :Will give brainliest!:
Answers
Answer:
Step-by-step explanation:
Anything that is multiplied greater than 1 will be greater than what the other factor is. You are correct!
Answer:
B, 2 5/6 x 2 5/6
Step-by-step explanation:
This is the only answer that is greater than 2 5/6
Which inequality can be used to find the domain of
Answers
Answer:
1/2 x -10 ≥ 0
Step-by-step explanation:
We know that a square root must have an answer that is greater that or equal to zero. The result of a square root cannot be negative. What is inside the square root must be greater than or equal to zero. To find the domain we solve that equation to determine the value of x.
1/2 x -10 ≥ 0
Three triangles are drawn on the same piece of paper such that no two sides are on the same line. What is the maximum number of points of intersection of the three triangles?
Answers
Answer:
6
Step-by-step explanation:
NEEDED ASAP WILL GIVE BRAINLIEST TO BEST ANSWER
Answers
Answer:
for 14 is Surface are =2*(7*5+7*3+5*3)= 142 feet cubefor 13 Surface are= 2*(9*7.2+9*9+7.2*9)= 421 m cube
PLS HELP IM CONFUSED
Answers
Answer:
D
Step-by-step explanation:
6 and 3 can both be divided by 3, which gives u 2/1
Answer:
D. 2 cups of flour/1 cup of milk.
Step-by-step explanation:
Here's the definition of unit rate:
unit ratethe ratio of two different units, with the denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc.
Since we need to find the unit rate, find the GCF of 6 & 3 (3). Now divide both values by 3.
(6/3)/(3/3)
2/1
The unit rate between cups of flour to cups of milk is 2:1, which is D.
solve the 2x-1/4+3x-2/3=25/12
Answers
Answer:
x=8/15
Step-by-step explanation:
2x-1/4+3x-2/3=25/12
2x+3x=25/12+1/4+1/3
5x=25/12+3/12+4/12
5x=32/12
5x=8/3
x=8/3÷5
x=8/15
Answer: 3 over 5
Step-by-step explanation:
Nadia's monthly budget is $2,750. How much does Nadia spend on Rent in a month, in dollars and cents?
Answers
Answer:
990
Step-by-step explanation:
18.0 x 9 but with a decimal
Answers
Find the probability that a randomly
selected point within the circle falls
in the red shaded area.
r = 4 cm
2.5 cm
3 cm
3 cm
[? ]%
Round to the nearest tenth of a percent.
PLEASE
Answers
Answer:
38.8%
Step-by-step explanation:
This is a very famous computer solution called the Monte Carlo Method. It's like throwing darts at an enlarged diagram. You will always be inside the circle.
The red triangle has an area = 1/2 h * b
The red triangle has an area = 1/2 * (2.5 + 4) * (3 + 3)
The red triangle area = 1/2 6.5 * 6
The red triangle area = 19.5
The area of the circle = pi * r^2
pi = 3.14
r = 4
The area of the circle = 3.14 * 4^2
The area of the circle = 50.24
% = (19.5/50.25) * 100
% = 38.8%