Answers
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There are two ways to do this.
The quicker way is to use the remote interior angle theorem. We have the interior angles 53 and 103 which add to 53+103 = 156 which is exactly the exterior angle VUX.
---------------
The slightly longer way involves finding angle TUV first. Let's say this is equal to the variable y
Adding any three interior angles of a triangle always gets us 180
53+103+y = 180
y+156 = 180
y = 180-156
y = 24
Angle TUV is 24 degrees
The angle supplementary and adjacent to this is angle VUX, which I'll call z
z+y = 180
z = 180-y
z = 180-24
z = 156
So this is another way to get to the answer 156 degrees.
Related Questions
At his new job, Jeremiah can choose an hourly rate of $9 plus a $50 weekly bonus for opening the store, or an hourly rate of $10 per hour with no opening bonus. The equations model his salary options.
Answers
y=9x +50
y=10x
Maria is given a pay increase of 3%. After the pay increase, she earns $2472 each month. Calculate her monthly pay before the pay increase.
Answers
Answer: $2400
Step-by-step explanation:
Given
Maria got a hike of 3%.
After the hike she earns $2472 each month
Suppose, before hike she earns x each month
[tex]\Rightarrow x+x\times 3\%=2472\\\Rightarrow x(1+0.03)=2472\\\Rightarrow 1.03x=2472\\\Rightarrow x=\$2400[/tex]
Thus, she earns $2400 before the hike.
pupils are required to spend 3/8 of the day at school and 2/3 of that time in class. How much time do they spend doing Mathematics? Give your answer in minutes.
Answers
Answer:
[tex]Time \ in\ school = \frac{3}{8} \ of \ the \ day[/tex]
= [tex]\frac{3}{8} \times 24 = 9 \ hours \ in \ school[/tex]
[tex]Time \ in \ class = \frac{2}{3} \ of \ the \ time \ in \ school = \frac{2}{3} \times 9 = 6 \ hours \ in \ class[/tex]
1 hour = 60 minutes
Therefore, 6 hours = 360 minutes
So , 360 minutes they spent doing mathematics.
find the value of x
Answers
Answer:
x = 25
Step-by-step explanation:
40 is a vertical angle equal to the angle to the right of 2x.
2x, 40, and 90 are supplementary angles (they add up to 180)
2x + 40 + 90 = 180
2x + 130 = 180
2x = 180 - 130
2x = 50
x = 25
Answer:
they are right
Step-by-step explanation:
A rhombus has diagonals with lengths 6 cm and 10 cm. It’s area is ____
A. 60 cm^2
B. 30 cm^2
C. 15 cm^2
D. 36 cm^2
Answers
Answer:
B.
Step-by-step explanation:
A = ab/2
A = (6 cm)(10 cm)/2
A = 30 cm^2
Answer: B.
Which of the following are maximum and minimum points of the function y= 2 cos x - 1?
A) Maximums: (0, 3), (2π, 3); Minimum: (π, -3)
B) Maximums: (0, 1), (2π, 1); Minimum: (π, -3)
C) Maximums: (0,3), (2π, 3); Minimum: (π, -1)
D) Maximums: (0, 1) (π/2, 1); Minimum: (3^π/2, -3)
Answers
Answer:
B) Maximums: (0, 1), (2π, 1);
Minimum: (π, -3)
A recipe calls for 21 scoops of sugar. Each scoop is 2.5 oz of sugar. How many scoops do you need if the scoop holds 3.5 oz of sugar?
Answers
Answer:
you would need 6 scoops of sugar
Answer:
You would need 15 scoops of sugar per 3.5 oz
Step-by-step explanation:
Please help me almost due!!!:):$:
Answers
Answer:
Our two selected points:
-3, 3
2, -4
-4 -(3) 7
_____ = - _____ = -7/5, D is your answer
2 - (-3) 5
What is the measure of arc GH?
Answers
Answer:
62 degrees
Step-by-step explanation:
The angle is an inscribed angle, so its measure is half the measure of the intercepted arc.
Said another way, the intercepted arc is twice the measure of the inscribed angle.
2 x 31 = 62
A fair die is rolled once. Let A be the event of rolling an even number, and let B be the event of rolling a number greater than 3. Find A ∩ B
Answers
Answer:
A ∩ B = {4, 6}
Step-by-step explanation:
A die had 6 faces
S = {1, 2, 3, 4, 5, 6}
If A be the event of rolling an even number, then;
A = {2, 4, 6}
If B be the event of rolling a number greater than 3, then;
B = {4, 5, 6}
A ∩ B are the values that are common to both sets
A ∩ B = {4, 6}
reduce 287/861 to the simplest term in fractions
Answers
Answer:
1/3
hope this helps
have a good day :)
Step-by-step explanation:
YALLL HELPP ME PLEASEE!!!!!!!!
Answers
Step-by-step explanation:
1. -5 not suree
2.50
my anwser could be wrong sooo...
Identify the sample space of the probability experiment: answering a true or false question.
Answers
Answer:
we would need to know what the experiment was or we can't awnser
6x – 3x + 4 – 2x = x + one solution ,no solution, and many solution
Answers
Answer:
6x – 3x + 4 – 2x = x
x+4=x
4=0
no solution
hope this helps
have a good day :)
Step-by-step explanation:
help i’ll give brainliest
Answers
Answer:
The answer would be D, hope this helps
Sarah went on a run. On her run she found 6 rocks. When she was going back home she found 7 more rocks. When she got home she relized she lost 2 of the rocks. How many rocks does she have now?
Answers
Answer:
11
Step-by-step explanation:
first you add 6 + 7 = 13
then you 13 - 2 which gives you eleven!
Solve for angle A. Please help quickly !!
Answers
Answer:
∠ A ≈ 75.7°
Step-by-step explanation:
Given
[tex]\frac{sinA}{8}[/tex] = [tex]\frac{sin58}{7}[/tex] ( cross- multiply )
7 × sinA = 8 × sin58° ( divide both sides by 7 )
sinA = [tex]\frac{8sin58}{7}[/tex] , then
∠ A = [tex]sin^{-1}[/tex] ([tex]\frac{8sin58}{7}[/tex] ) ≈ 75.7° ( to the nearest tenth )
1. Calculate the volume of the rectangular prism. Answers are in cubic
millimeters.
4 mm height
17 mm width
9 mm length
Answers
Answer:
The answer is 612
Help Please I will mark brainlist dont answer if you don’t know and no links.
Answers
Answer:
63
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
A Ferris wheel has a diameter of 380 feet and the center of the wheel is 195 feet above the ground. The wheel makes a complete turn every 4 minutes. Write a cosine function to express the height h (in feet) of a passenger on the wheel as a function of time t (in minutes), given that the passenger is at the lowest point on the wheel when t
Answers
Answer:
y = -190 cos(π t / 120) + 195
Step-by-step explanation:
General form of a sinusoidal function: y = A cos(Bt - C) + D
Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative.
A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet.
2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120.
C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0.
D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet.
Your final function will be:
y = -190 cos(π t / 120) + 195
a designer created a scale drawing of a new kitchen. In the scale drawing, the length of the kitchen will be 8 feet. What scale did the designer use to create the scale drawing of the kitchen
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Scale\ length = 8ft[/tex]
Required
Determine the scale of the drawing
The question is incomplete, as the actual width of the kitchen is not given. The general explanation, however, is as follows:
The scale of a drawing is represented as:
[tex]Scale = Scale\ Measurement : Actual\ Measurement[/tex]
This gives:
[tex]Scale = 8ft : Actual[/tex]
Assume the actual length of the kitchen is 24ft.
The equation becomes:
[tex]Scale = 8ft : 24ft[/tex]
Divide by 8ft
[tex]Scale = 8ft/8ft : 24ft/8ft[/tex]
[tex]Scale = 1 : 3[/tex]
6 less than half of r : translate into expression
Answers
Answer:
r/2 -6
Step-by-step explanation:
less than means it comes after
half of r
r/2
6 less than means subtract
r/2 -6
does anyone know this
Answers
Answer:
a=170
Step-by-step explanation:
180-6=174mil
round to 170.
Answer:
4.9 (rounded)
Step-by-step explanation:
a^2 + 1^2 = 5^2
a^2 + 1 = 25
- 1 - 1
= a^2 = 24
[tex]\sqrt{a^2 = 24}[/tex] = 4.9 (rounded)
How many more lawns can logan mow per hour thanhow many more lawns can logan mow per hour than brian brian
Answers
Answer:
Logan can mow 1 lawn per hour more than Brian
Step-by-step explanation:
Given
[tex]Logan: 8\ lawns \to 4\ hours[/tex]
See attachment for Brian's graph
First, calculate Logan's hourly rate
[tex]Rate = \frac{Lawn}{Time}[/tex]
[tex]Rate = \frac{8\ lawns}{4\ hours}[/tex]
Rate = 2 lawns per hour
To calculate Brian's rate, we select 2 points from the linear graph
[tex](x_1,y_1) = (1,1)[/tex]
[tex](x_2,y_2) = (2,2)[/tex]
So, the rate is:
[tex]Rate = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]Rate = \frac{2 - 1}{2 - 1}[/tex]
[tex]Rate = \frac{1}{1}[/tex]
Rate = 1 lawn per hour
So, we have:
[tex]Logan = 2[/tex]
[tex]Brian = 1[/tex]
Calculate the difference (d)
[tex]d = Logan - Brian[/tex]
[tex]d = 2 - 1[/tex]
[tex]d = 1[/tex]
Logan can mow 1 lawn per hour more than Brian
What is the value of x in the equation
-x =2 - 3x +6?
1) 8
2) 4
3) -4
4) -8
Answers
Answer:
x=4 Postive
Step-by-step explanation:
See the steps below:)
I just need someone to help me with this, I will give brainilist I just need someone to put these numbers in the correct order!!!!!!!
Answers
Answer: I think it’s C
Answer:
A is the correct answer to this problem.
19,X, 4, 12,4
mean=11
X=
Answers
Statistics
Vocabulary
-------------------------
Mean is the average of a data set.
Find the Mean by adding all numbers and dividing by how many numbers there are in the data set.
19+4+12+4+x/5
Combine Like Terms.
39+x/5=11
Use random x values to determine x.
39+16=55
55/5=11
x=16
Insert x into the equation to make sure you're correct.
19+16+4+4+12=55
55/5=11
Given that Δ C A T ≅ Δ D O G, select all statements that must be true
Answers
Find the gradient of the following line
Answers
Answer:
y=-2.6+2
Step-by-step explanation:
using the eqaution y=mx+c
In which function is the range equal to the domain?
1) y = 2
2) y=x?
3) y = log x
4) y = x