Use the diagram to find the angle measures.
Find m∠1, m∠3, and m∠4 if m∠2=117°.
Find the measures of all four angles if m∠2+m∠4=220°.
Answers
Answer:
1.) m∠1 = 63 degree
m∠3 = 63 degree
m∠4 = 117 degree
m∠2 = 117 degree
2.) m∠1 = 70 degree
m∠3 = 70 degree
m∠4 = 110 degree
m∠2 = 110 degree
Step-by-step explanation:
Given that
1.) m∠2 = 117°.
In the figure, m∠1 is vertically opposite to m∠3, and m∠4 is vertically opposite to m∠2
Therefore, m∠2 = m∠4 = 117° ( because vertically opposite angle are equal)
Also, the sum of angles at a point is equal to 360 degrees
m∠2 + m∠4 = 234°
Take 234 away from 360. That is,
360 - 234 = 126
126/2 = 63 degrees.
Therefore, m∠1 = m∠3 = 63°
2.) If m∠2 + m∠4 = 220°
Subtract 220 from 360 since the sum of angles at a point is equal to 360 degrees
360 - 220 = 140
Divide 140 by 2 and also 220 by 2 to get
140/2 = 70 and 220/2 = 110
Therefore,
m∠1 = 70 degree
m∠3 = 70 degree
m∠4 = 110 degree
m∠2 = 110 degree
Related Questions
Which sign makes the statement true?
5.7 x \(10^{2}\) 5,700,000,000,000
Please help me quickly!!
Answers
Answer:
<
Step-by-step explanation:
the exponent will tell you how many places u need to move the decimal. 5.7 × 10 to the 2nd power = 570. u moved the decimal 2 places to the right.
If we interpret the statement correctly "5.7 x 5,700,000,000,000" means to multiply 5.7 with 5,700,000,000,000, which gives us the result of 32,490,000,000,000.
Therefore, we can write the statement as: 5.7 x 5,700,000,000,000 = 32,490,000,000,000.
An artist’s canvas has sides measuring 3x – 3 and 4x + 1 inches.
What is the area of the canvas? Show all work.
The artist laid the canvas flat on the floor and poured some paint in the center. The paint flows at a rate of r(t) = 4t where t represents time in minutes and r represents how far the paint is spreading on the canvas. The area of the paint can be expressed as A[r(t)]= πr². What is the area of the circle created by the paint?
If the artist wants the circle to be at least 1300 in², will it be that large in 5 minutes? Support your answer with your work.
Answers
Step-by-step explanation:
Finding the area of the canvas:
The canvas has sides measuring 3x - 3 and 4x + 1 inches. To find the area, we multiply the lengths of the sides. So, the area of the canvas is given by:
Area = (3x - 3) * (4x + 1)
= 12x^2 + x - 3
Therefore, the correct equation for the area of the canvas is A = 12x^2 + x - 3.
Finding the area of the circle created by the paint:
The rate at which the paint is spreading on the canvas is given by the function r(t) = 4t, where t represents time in minutes and r represents how far the paint has spread. The area of the circle created by the paint can be expressed as A[r(t)] = πr^2, where r(t) is the distance the paint has spread at time t.
Substituting the value of r(t) = 4t into the formula, we get:
A[r(t)] = π(4t)^2
= 16πt^2
Therefore, the area of the circle created by the paint is 16πt^2.
Determining if the circle will be at least 1300 in² in 5 minutes:
To check if the area of the circle will be at least 1300 in² in 5 minutes, we substitute t = 5 into the equation for the area:
A[r(5)] = 16π(5)^2
= 400π
Approximating the value of 400π, we get approximately, 1256.64.
Since 1256.64 is less than 1300, we can conclude that the area of the circle created by the paint after 5 minutes will not be at least 1300 in².
A = (3x - 3)(4x + 1)
A = 12x² - 8x - 3
The paint is spreading at a rate of r(t) = 4t, which means that the radius of the circle is also increasing at a rate of 4t. Therefore, the area of the circle can be expressed as:
A[r(t)] = πr²
A[r(t)] = π(4t)²
A[r(t)] = 16πt²
We want to find out if the area of the circle will be at least 1300 in² in 5 minutes. So we need to substitute t = 5 into the equation for the area of the circle:
A[r(5)] = 16π(5)²
A[r(5)] = 400π
The area of the circle created by the paint after 5 minutes is 400π in², which is approximately 1256.64 in². Since this is less than 1300 in², the circle will not be that large in 5 minutes.
Which points are 3.5 units apart?
(7.5, 1.2) and (7.5, –2.3)
(7.5, –3.5) and (7.5, 3.5)
(7.5, 1.2) and (7.5, 2.3)
(7.5, –3.5) and (7.5, 7)
Answers
Marcus needs 12 cups of edible flowers to make the breakfast mixture to feed the zoo's emperor tamarin monkey troop for the week. The number of cups of edible flowers the zoo has in storage is represented by the expression 1.875c−(c+0.5d). If c=25 and d=20, does Marcus have enough edible flowers to make the breakfast mixture for the emperor tamarin monkeys?
No, because 1.875(25)-((25)+0.5(20))=11.875, which is less than 12.
No, because 1.875(25)−((25)+0.5(25))=9.375, which is less than 12.
No, because 1.875(20)−((25)+0.5(20))=2.5, which is less than 12.
No, because 1.875(20)−((20)+0.5(25))=5, which is less than 12.
Answers
Answer:
No, because 1.875(25)-((25)+0.5(20))=11.875, which is less than 12.
Step-by-step explanation:
c = 25 d = 20
1.875(25) - (25+0.5*20) =
46.875 - 35 =
11.875
Meg read a total of 42 books over 7 months. After belonging to the book club for 11 months, how many books will Meg have read in all? Assume the relationship is directly proportional
Answers
Answer: 60 books
Step-by-step explanation:
All you have to do is add 6 to 42 4 times because 7 + 4 = 11, and it asks for how many she read for 11 months. You're welcome.
Hey y’all, anyone could help me with this one bit? (Can’t use decimals.)
Answers
Answer:
7 14 21 35
3 6 9 15
not decimals for every 3 cat 7 dog
Step-by-step explanation:
so, you take 7+7 to get 14 then just repeat 14+7 = 21
3+3 6
and for 35 just take 35 divided by 7 * 3 to get 15
i learned this last year
hope this helps
Dog Leashes: 7 | 14 | 21 | 35
Cat Leashes : 3 | 6 | 9 | 15
Finding the Slope: Identify the slope. Will give 5 brainlist points if you are correct
Answers
Answer:
1/2
Step-by-step explanation:
Slope is rise over run. So you will want to pick 2 points that cross an intersection rise to the upper ones lone, and then run to the point, while counting. I hope this helps :)
- I started at the point (2,0) ran up 1, and then ran over 2 to (0,1).
EXPLANATION- rise over run!! up one over two!
(8x + 20y) - (-3x - 10)
Answers
Answer:
11x+20y+10
Step-by-step explanation:
Well first I would distribute the negatives
8x+20y+3x+10
Next I would combine liek terms
11x+20y+10
There you have it
Answer:
11x+20y+10
Step-by-step explanation:
(8x+20y)+3x+10
11x+20y+10
It takes 80 seconds for a 1-mile-long train to pass a signpost. If the train keeps moving
at this rate, then how far will the train travel in one hour?
Answers
Answer:
45 miles
Step-by-step explanation:
3600 seconds per hour
3600/80=45
Answer:
45 miles
Step-by-step explanation:
3600 divided by 80
=45 miles
HELP PLEASE FOR 100 POINTS!! For each parabola, a) Write the equation of the function; b) Give the minimum or maximum value of the function; c) Find the domain and range.
Answers
a- y=x^2
b- Maximum (0,0)
c- Domain= (-infinity,+infinity)
Range=(-infinity, 0]
Number 6:
a- y=-x^2 (the - changes the direction of parabola)
b- Minimum (0,0
c- Domain= (-infinity,+infinity)
Range= [0, +infinity)
*note when I use [] and ()
same with the + and - infinities
Hope this helps! :)
Answer:
1 problem is b 2 problem is c
Step-by-step explanation:
The price of a video game was increased from $39 to $49. By what percentage was the price of the video game increased
20.4%
30%
25.6%
79.6%
Answers
Answer:
25.6%
Step-by-step explanation:
A school club sold 300 shirts. 31% were sold to fifth graders, 52% were sold to sixth graders, and the rest were sold to teachers. How many shirts were sold to each group-fifth graders, 6th graders, and teachers? Explain or show your reasoning. Please help I'm late on turning in homework!
Answers
Answer:
5th graders = 93 people 6th graders = 156 teachers = 51
Step-by-step explanation:
93 5th graders bought shirts, 156 6th graders bought shirts, 51 teachers bought shirts
300x0.52 = 156 shirts sold to 6th graders
156+93 = 249 shirts sold to students
300-249 = 51 shirts sold to teachers
Can someone help me and tell me what this is I dont get it
Answers
Answer:
of the First rectangle Is smaller than the second the factor Is greater than One , if the First and the second are the same the scale factor Is one, and of the First Is bigger than the second the factor Is less than one
so:
a greater
b greater
c less
D greater
e equal
f less
g equal
Answers in bold:
P to Q: greater than 1P to R: greater than 1Q to S: less than 1Q to R: greater than 1S to P: equal to 1R to P: less than 1P to S: equal to 1========================================================
Explanation:
We have these three rules for scale factors
scale factor > 1, enlarge the image0 < scale factor < 1, shrink the imagescale factor = 1, the preimage and image are identicalWith those rules in mind, we have enlargements for these transformations.
P to QP to RQ to RAll of which represent some scale factor larger than 1. We don't have enough information to pinpoint what that scale factor would be.
In other words, if you go from small to big, then you apply some scale factor larger than 1 to enlarge the image.
----------------
We also have these reductions
Q to SR to PThis is where we go from big to small. The image shrinks and we use some scale factor between 0 and 1.
----------------
And finally we have these transformations in which the size of the image does not change. Therefore the scale factor is 1.
P to SS to PThe order doesn't matter for this subset, but the order will matter for the other batches of transformations.
A semi trailer is being packed with boxes that are 1 feet on each edge. The cargo space of the trailer is 28 feet long, 8 feet wide, and 9 feet high. What is the maximum number of boxes that will fit inside the trailer?
2,016 boxes
540 boxes
2,138 boxes
633 boxes
Answers
Answer:
2016
Step-by-step explanation:
28x8x9
28•8•9
=
2016
Can someone please help me with this problem..and explain it. Don't mind the numbers and dots i'm pretty sure they're wrong
Answers
Answer:
59°
Step-by-step explanation:
The maximum temperature is just the y-coordinate of the uppermost point on the graph, which is (6 hr, 59°). Hence, it is 59°.
A scuba diver is 15.5 feet below the surface of the water. If the diver continues to swim downward at a rate of 2.5 feet per second, what is her location, in feet, relative to the surface after 712 seconds? feet
Answers
The answers is: 33
33 is the integer that represents her location relative to the surface after 7 seconds.
And 33 feet far the diver have to go to return to the surface.
Step-by-step explanation:
Given:
A scuba diver is 15.5 feet below the surface of the water.
The diver continues to swim downward at a rate of 2.5 feet per second.
Now, to find the integer represents her location relative to the surface after 7 seconds.
And to find how far does the diver have to go to return to the surface.
So, to get the integer represents her location relative to the surface after 7 seconds.
Initial depth = 15.5 feet.
Distance traveled down = 7 × 2.5 = 17.5 feet.
Final depth of water surface = Initial depth + Distance traveled down.
Final depth of water surface = 15.5 feet + 17.5 feet.
Final depth of water surface = 33 feet.
Thus, 33 is the integer represents her location relative to the surface after 7 seconds.
Now, to get how far does the diver have to go to return to the surface:
As, the diver goes to 33 feet down to the surface.
Thus, the diver to return she have to go through the same distance.
So, to return to the surface she need to go to 33 feet far.
Therefore, 33 is the integer that represents her location relative to the surface after 7 seconds.
And 33 feet far the diver have to go to return to the surface.
Find the perimeter of this shape.
Answers
Answer:
draw a line that makes a triangle and rectangle.
hypotenuse= 30
3k-4k-5k triangle
18-24-30
so the short part of triangle is 18 cm
10+10+18+24+30 equals 92
sorry for language I am not familiar with English
the perimeter of this shape is
24+10+10+30+\(\sqrt{30^{2} -24^{2} }\) = 92 cm
Complete the steps to solve the equation.
1/5t + 2 - ____ = 17 - _____
1/5t=______
_____ * 1/5t =______
t=_______
Answers
blank 3: 17
blank 4: 5
blank 5: 5 (17)
blank 6: 85
The complete steps are;
⇒ 1/5t + 2 - 2 = 17 - 2
⇒ 1/5t = 15
⇒ 5 * 1/5t = 5 * 15
⇒ t = 75
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or variable raised to the power one.
We have to given some steps of equation.
Now, The complete steps to solve the equation are;
1/5t + 2 - ____ = 17 - _____
Subtract 2 from both sides;
⇒ 1/5t + 2 - 2 = 17 - 2
⇒ 1/5t = 15
Multiply 5 in both sides;
⇒ 5 * 1/5t = 5 * 15
⇒ t = 75
So, The complete steps are;
⇒ 1/5t + 2 - 2 = 17 - 2
⇒ 1/5t = 15
⇒ 5 * 1/5t = 5 * 15
⇒ t = 75
Learn more about the linear expression visit:
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Write the following expression in standard form: (7x – 5) – (3x – 2)
Answers
(7x and 3x)
using the same sign (subtraction)
4x
then (5 and 2) also still using the same sign (subtraction)
3
4x-3
Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?
Answers
According to Keira, if 6 tickets are sold, there should be 2 tickets left. However, we don't have any information about the initial number of tickets available.
If the total number of tickets initially was 8, and 6 tickets were sold, then there would indeed be 2 tickets left, supporting Keira's statement.
However, if the total number of tickets initially was less than 8, or if the statement doesn't specify the initial number of tickets, we cannot determine if Keira's statement is correct.
Therefore, without additional information, we cannot determine the accuracy of Keira's statement.
What is the value of \dfrac{x^2}{y^4}
y
4
x
2
start fraction, x, squared, divided by, y, start superscript, 4, end superscript, end fraction when x=8x=8x, equals, 8 and y=2y=2
Answers
Answer:4
Step-by-step explanation:
Put the numbers in the expression in place of the corresponding variables and do the arithmetic.
Answer:
4
Step-by-step explanation:
hey, guys id prefer it if someone could walk me through this step by step thx! Write an expression that is equivalent to the expression below. 3.5(2.4x+8.6y)-2.9(5x-6.5y)-(3.1x+7y)
Answers
Answer:
Step-by-step explanation: ok so first you need to circle all your variables x.
which are 2.4x+5x+3.1x adding those you get 10.5.
then circle your variables y which is 8.6y+6.5y+7y you get 22.1 then subtract those you get -11.6
hope this helps
PLZ BRAINLIEST PLZ
Answer:
Pls need points
Step-by-step explanation:X=25472.384
(4 3/10 −2 7/15 ) * 20 ( 4 3/10 and 2 7/15 are fractions)
Answers
Answer:
110/3 or 36 2/3
Step-by-step explanation:
4 3/10-2 7/15=11/6
11/6•20=110/3
Answer:
110/3 or 36 2/3
Step-by-step explanation:
Evaluate the parenthesis first which is 11/6. Multiply that by 20 to get 110/3 or 36 2/3
need answer for these qyestion
Answers
thank you for asking me this question
Answer for question 4 is 30
Which triangle is correctly labeled?
Answers
Option (b) Is the answer
Hope it helps you
The answer is Option (B)
Reason
The Hypotenuse is always on the Opposite side of the Right Angle.
This is only seen in Option (B)
Learn more about Hypotenuse and Legs here
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Mark BRAINLIEST
you have to do all of the questions and add the answers together
Answers
Answer: Where is the question?
Step-by-step explanation:
I'm sorry, I'm not sure what you mean. Could you please clarify which questions you are referring to and what you would like me to add together?
Emma went to the beauty salon and her bill was $72.60 before tax. a) The sales tax rate was 8%. How much did Emma pay in tax? b) Emma added a 20% tip on the amount before tax was added. How much money did Emma leave as a tip? c) How much did Emma pay in total at the beauty salon?
Answers
Answer:
The answer is 94.09 in total
Step-by-step explanation:
1)The tax is 5.81
2)The 20% tip was 15.68
So in total she payed 94.09
What is this in simplest form
Answers
Answer:
this is the simplest form
Step-by-step explanation:
since there is a variable in the fraction, you can't simplify it any further until we know that term.
Answer:
-7y/2
Step-by-step explanation:
-7y/2 cannot be simplified any further as there are no common factors of -7y and 2
Drawing Length: 8 feet
Actual Length: 624 feet
Answers
Answer:
what?
Step-by-step explanation:
624:8=78
Emilio has to run 7 1/2 miles a week to train for the football team. If he runs 1 1/2 miles everyday , how many days will it take him to run 7 1/2?
Answers
Answer:
5 days
Step-by-step explanation:
1/2 + 1/2 = 3 (2 days) times by 2 makes it 4 days and finally 5th day 7 1/2
it will take him about 5 days
1 1/2 x 5 is 7 1/2