Consider the diagram and angle measures shown below What is the value of m angle 3 ?
Answers
Answer:
The answer is below
Step-by-step explanation:
m∠lon = m∠2 (vertical opposite angles are equal)
m∠lon = m∠1 (corresponding angles are equal).
Therefore; m∠2 = m∠1 (substitution property)
3x + 25 = 7x + 5
Subtracting 5 and 3x from both sides of the equation:
3x + 25 - 5 - 3x = 7x + 5 - 5 - 3x
4x = 20
dividing through by 4:
4x / 4 = 20 / 4
x = 5
Given that:
m∠3 = -2x + 70
substituting x = 5:
m∠3 = -2(5) + 70 = 60
m∠3 = 60°
Therefore:
m∠4 + m∠2 + m∠3 = 180° (substitution)
(155 - 3x) + (7x + 5) + (-2x + 70) = 180
(-3x + 7x - 2x) + (155 + 5 + 70) = 180
2x + 230 = 180
2x = -50
x = -25
Therefore; m∠3 = -2x + 70 = -2(-25) + 70 = 50 + 70
m∠3 = 120°
Related Questions
Combine like terms and write an equivalent expression
with the fewest number of terms.
3x + 5x – 1
Can someone help me?
Answers
Answer:
8 + -1 here you go hope this helps
Karen buys some new clothes for $89.40 + tax. The tax rate is 6.4%. What is her final price? *
Answers
Answer:
$95.10
Step-by-step explanation:
well take 89.40 and multiply by 6.4%. then add.
89.40 x 6.4% is 5.7. we can make out 5.7 to be $5.70.
$89.40 + $5.70 is 95.1 or $95.10
Strawberries cost $3.60 per pound. You buy a bag that costs $7.20. How many pounds of strawberries are in the bag?
Answers
3.60 per pound
7.20 divided by 3.60 = 2
there are two pounds of strawberries in the bag!
PLEASE HELP ASAP!!
After a power failure, the temperature in a freezer increased at an average rate of 3.5 °F per hour. The
total increase was 31.5 °F. Enter and solve an equation to find the number of hours until the power was
restored. Let x represent the number of hours it takes for the temperature to increase to 31.5 °F.
Answers
Answer:
equation: 3.5x=31.5
number of hours: 9
Step-by-step explanation:
31.5/3.5=9
Therefore,
x=9, x=number of hours, number of hours=9
The owner of a garden center pays $12 for each birdbath. She sells them for 55% more than she paid. Decide whether each expression represents the selling price for b birdbaths.Choose Yes or No for each expression.A.12b1 1. 55(12b) u Yesu Nob. 12(0 . 45b) u Yesu Noc.12b(1. 55)u Yesu Nod. 12(0 . 55b) u Yesu Noe. 12b(1 1 0.55)u Yesu No
Answers
Answer:
[tex]Selling\ Price = 12b(1.55)[/tex]
Step-by-step explanation:
Given
[tex]Cost\ Price = \$12[/tex]
[tex]Selling\ Price = 55\%\ more[/tex]
Required
Write an expression for the selling price for b birdbaths
This selling price for 1 birdbath is calculated as:
[tex]Selling\ Price = Cost\ Price + 55\% * Cost\ Price[/tex]
Substitute 12 for Cost Price
[tex]Selling\ Price = 12 + 55\% * 12[/tex]
Factorize:
[tex]Selling\ Price = 12(1 + 55\%)[/tex]
Express percentage as decimal
[tex]Selling\ Price = 12(1 + 0.55)[/tex]
[tex]Selling\ Price = 12(1.55)[/tex]
For b birdbaths, the selling price is:
[tex]Selling\ Price = 12(1.55) * b[/tex]
[tex]Selling\ Price = 12b(1.55)[/tex]
The options are not clear; However [tex]12b(1.55)[/tex] answers the question.
Translate this sentence into an equation. The product of Rita's savings and 9 is 153. Use the variable r to represent Rita's savings
Answers
Simplify -5(-3w - 5) - 20
Answers
-5 (-3w - 5) - 20
*distribute the -5*
15w + 25 - 20
*combine like terms*
15w + 5
I hope you got a good grade on your assignment!!!
Bruce drove 360 miles in 6 hours. If he continues at a consistent speed, how many more hours would he need to drive another 300 miles?
Answers
Answer:
5 hours
Step-by-step explanation:
If he drove 360 miles in 6 hours, that means he drives 60 miles per hour.
300 divided by 60 is 5, so he will need to drive for 5 more hours
Answer:
5 hours
Step-by-step explanation:
Find his speed in miles per hour:
360/6
= 60
So, his speed is 60 mph
To find how many more hours he would have to drive another 300 miles, divide 300 by 60:
300/60
= 5
So, he would have to drive 5 hours
To find 40% of 75, Priya calculates 25⋅75 . Complete the statement about whether her calculation gives the correct value for 40% of 75. Her calculation is , 1 of 4. Select Choice because 25 and 40% are , 2 of 4. Select Choice . b. If x represents a number, complete the statement about whether 25⋅x always represents 40% of that number. , 3 of 4. Select Choice because 25 are 40% are 4 of 4. Select Choice .
Answers
Answer:
See Explanation
Step-by-step explanation:
See comment for correct presentation of the question
Given
[tex]Expression = 40\% * 75[/tex]
[tex]Priya = \frac{2}{5} * 75[/tex]
Required
Is Priya correct?
We start by simplifying the expression.
[tex]Expression = 40\% * 75[/tex]
Express 40% as fraction
[tex]Expression = \frac{40}{100} * 75[/tex]
Simplify fraction: Divide numerator and denominator by 20
[tex]Expression = \frac{40/20}{100/20} * 75[/tex]
[tex]Expression = \frac{2}{5} * 75[/tex]
By comparing:
[tex]Expression = \frac{2}{5} * 75[/tex]
and
[tex]Priya = \frac{2}{5} * 75[/tex]
We can conclude that Priya is correct because:
[tex]40\% = \frac{2}{5}[/tex]
How do i solve this math question?
d/2=4
I do not fully understand.
Answers
Could someone help with the domain and range of these 2 graphs?
Answers
3)Domain [4 to infinity]
Range [0 to infinity]
4)Domain [ - 3 to 3]
Range [ - 2 to 4]
A company is billed $1,850 with a cash discount of 5% offered for payment within ten days. How much could it save?
Answers
Answer:
$92.5
Step-by-step explanation:
1,8500x.05=92.5
Answer:
1850 / 5% = 36000
Step-by-step explanation:
Dena, Barb, Ryan, and Joe played a game where the lowest value wins. Dena's score was 3. Barbs score was -6. Ryan's score was -4. And Joe's score was -2. A) Joe's score beat Dena's score B) Ryan's score beat Barbs score C) Joe had the worst score D) Dena won the game
Answers
Answer:
A.) Joe's score beat Dena's score
Step-by-step explanation:
When you use negative numbers (Numbers that start with a negative sign (-)), the bigger the number after the negative, the smaller the number and also a negative number is always less than a positive number. This means that Joe's score beats Dena's score, because Joe's score is negative and Dena's score is positive, so Joe's score is lesser than Dena's score.
please help me find point D 10 points!!
Answers
Mrs. Blue has eight packages of pencils that she wants to distribute evenly between her sixth grades students. There are 24 pencils in each package, and she has 22 students. How many pencils will be left over after Mrs. Blue has given each student the same number of pencils?
Answers
Answer:
2
Step-by-step explanation:
If there are 22 students and she has 24 pencils she would need to give each of them 1 pencil. 24-22= 2
The number of pencils will be left over after Mrs Blue has given each student the same number of pencils is 16 pencils.
Given that, Mrs Blue has eight packages of pencils that she wants to distribute evenly among her sixth grades students. There are 24 pencils in each package, and she has 22 students.
We need to find out how many pencils will be left over after Mrs Blue has given each student the same number of pencils.
What is the unitary method?The unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit. It is a method that we use for most of the calculations in math.
There are 24 pencils in each package and there are eight packages of pencils.
So, the total number of pencils=8×24=192
Now, she is distributing evenly among 22 students=192/22=8.72
Then, 8×22=176
Mrs Blue is distributing 8 pencils to each student.
Number of pencils left=192-176=16
Hence, the number of pencils will be left over after Mrs Blue has given each student the same number of pencils is 16 pencils.
To learn more about the unitary method visit:
https://brainly.com/question/22056199.
#SPJ2
ALGEBRA 1 ! Please help!! need asap 100 POINTS
Answers
Answer:
1. Skyler's processes are incorrect. She put (3^6)^x = 9, but when working with exponential problems, both sides have to have the same base. 3 does not equal nine, so you can automatically rule out her approach.
2. Robert's processes are correct. He set both bases equal to each other and then solved for the exponents.
3. Kaitlyn is also correct, she set the bases equal to 3 and solved for the exponents.
Step-by-step explanation:
When working with exponents, the goal is to get the bases equal to each other. In this case, you could have set it equal to 9 (which Robert did) or you could have set it equal to 3 (like Kaitlyn did). But you never want the bases to be conflicting, which is what Skyler did. Just by looking at the problem and using deductive reasoning, it is likely that Robert and Kaitlyn are both correct, since they have the same answers, although they used different methods, but it is still important to look at the steps.
Skyler's one mistake was setting 3 = 9, because that is impossible. If you plug in her answer of 3/2 into x, you get a ridiculous number of 19,683 = 9, which is not possibly true. For the others, when you plug in 1/3, you get 729^(1/3) = 9, so 9=9.
Hopefully this makes sense, if not, I can try to explain it better. Thanks much & have a wonderful day.
The explanation of whether Skyler, Robert or Kaitlyn were correct/wrong and the reason from their processes is that;
1) Skyler is wrong because she didn't make the bases of both sides to be equal before equating the exponents.
2) Robert is correct because he made the bases of both sides to be the same before equating the exponents.
3) Kaitlyn is correct because she made the bases of both sides to be the same before equating the exponents.
1) SKYLER'S PROCESS;The problem skyler wants to solve is;
729^(x) = 9
The first step is to reduce 729 to the lowest base to get; [3^(6)]^(x) = 9
Next she did was to equate 6x to 9.
When working with equality of exponents both sides ought to have the same base and so she could have converted 9 to have same base of 3 as the left hand side after which she will equate the exponents.
So skyler is wrong.
2) ROBERT'S PROCESS;We saw that skyler didn'take both bases equal to each other but now Robert has done the correct thing by having;
9^(3x) = 9¹
After which he equated the exponents to get;
3x = 1
x = 1/3
Thus; Robert is correct
3) KAITLYN'S PROCESS;Kaitlyn is also correct because she followed the same correct pattern of ensuring the bases are the same before equating their exponents.
Read more about laws of exponents at; https://brainly.com/question/11761858
.069 rounded to the nearest hundredth
Answers
Answer:
I believe the answer is 0.07! I hope that helps
0.069 rounded off to the nearest hundredth is 0.69.
Please give me the correct answer
Answers
Nate and some friends go to the fair. Nate spends 1/2 of his money on rides. He then spends $12 on food. At the end of the day, Nate has $1 left. The equation is 1/2d-12=1. How much money did Nate bring to the fair
Answers
Answer:
i can help u if u let me know whta the equation means
Step-by-step explanation:
Answer:
25$
Step-by-step explanation:
Can some one help pls!!!
Answers
Answer:
Slope= 2x y-intercept: 2Slope= -x y-intercept: 8Slope= -4x y-intercept: 12 Give brainlistcan someone please explain inverse operations to me??
Answers
Answer:
The operation that reverses the effect of another operation. Example: Addition and subtraction are inverse operations. Start with 7, then add 3 we get 10, now subtract 3 and we get back to 7.
Step-by-step explanation:
Answer:
Inverse operations are opposite operations that undo each other. Addition and subtraction are inverse operations. Multiplication and division are inverse operations.
PLZ MARK AS BRAINLIEST
can you help me with this please
Answers
Answer:
slope is 4/3 y intercept is -3
Step-by-step explanation:
there is no calculations needed
Will mark BRAINLIEST !!1
1/3+5/6+3/4+1/2 =
(as a fraction)
Answers
Answer:
answer;
1/3+5/6+3/4+1/2 =29/12
D(-1,4) and E (3,-2),
Answers
Answer:
(1,1)
Step-by-step explanation:
With the midpoint formula, we're basically finding the average of the two variables, x and y.
Formula: [tex](\frac{x_{1} + {x_2} }{2}, \frac{_{1} + {y_2} }{2} )[/tex]
[tex](\frac{{-1} + {3}}{2} , \frac{{-2} + {4}}{2} )[/tex]
[tex](\frac{2}{2}, \frac{2}{2})[/tex]
(1,1)
if these two shapes are similar what is the measure of the missing length r?
r = ____ kilometers
Answers
Answer:
The answer is r=20
Step-by-step explanation:
[tex] \frac{81}{45} = \frac{36}{r} \\ r = \frac{36 \times 45}{81} = 20[/tex]
Lowest common multiple of 28 and 144
Answers
Answer:
Lowest Common multiple -(L.C.M) is 1008.Step-by-step explanation:
2 ¦ 28, 1442 ¦ 14, 72 ¦ 7, 362×2×7×36 = 1008(L.C.M) =1008─━─━─━─━─━─━─━─━─━─━─━─
L.C.M = Lowest Common Multiplesusie begins a new walking program with 600m on the first day. Each day she will increase her walk by 200m.how many kilometers will she walk on day 18 of her program
Answers
Answer:
4200m
Step-by-step explanation:
200 times 18 is 3600
3600 plus 600 is 4200
Mark brainliest or I'll literally drink water
On last week's math test, 32 students received passing grades and 16 students did not
receive passing grades. What is the ratio of the number of students who passed the test to
the total number of students who took the test?
A
11 / 1
B
2/3
C
3/2
D
2/1
Answers
Answer:
Option B. The ratio of the number of students who passed the test to
the total number of students who took the test is 2/3
Step-by-step explanation:
Firstly, we have to find the total number of students who took the test, we can do that by adding the number of students who passed and the number of students who did not pass, so ...
32 + 16 = 48
Now we just write down the ratio between the number of students who passed the test and the total number of students who took the test. So we get
32/48
Now we just simplify and get...
2/3
Please help me! 7th grade science!
A girl uses 60j of energy to move a box from the floor to a shelf. How much power does she use if it takes her 3 seconds to move the box?
15watts
20watts
90watts
180watts
Answers
Answer:
The answer is 20 watts
Step-by-step explanation:
power=joules/seconds
60/3=20
Anexo 5
Martes 26 do Brero de 2021
Instrucciones del planteamiento y relacionals columnas, para ello encuentra el recuadro con la
tracción equivalente
Circo JONN
El circo JOMI, ha hecho una gira alrededor de todo el continente
Americano
El tiempo de gira se repartió de la siguiente manera, la cuarta
parte del circo estará en Argentina, 4/32 partes en Brasil, una
octava parte en Venezuela, la dieciseisava parte en Bolivia, 5/32
portes en Cuba, 8/32 partes en México y el resto en Guatemala
2
8
Partes del tiempo se
32 presentó en México
32
10
32
Partes del tiempo se
presentó en Cuba
64
2
La dieciseisava parte la
invirtió en Bolivia.
8
1
4 Partes del tiempo se
32 presentó en Brasil
8
2
1 Partes del tiempo se
32 presentó en Guatemala
64
2
Una octava parte del
tiempo estuvo en Venezuela.
16