Answers
Answer:
See Below.
Step-by-step explanation:
We want to write a paragraph proof to prove the following theorem:
If ∠N and ∠M are congruent and supplementary, then ∠N and ∠M are right angles.
Each sentence is numbered:
1) Because ∠N and ∠M are congruent, m∠M = m∠N by the definition of congruent angles.
2) Because ∠N and ∠M are supplementary, m∠M + m∠N = 180.
3) Substitute m∠M to m∠N to get m∠M + m∠M = 180, or 2m∠M=180.
4) The Division Property of Equality then yields m∠M = 90.
5) Substitute m∠N for m∠M to get m∠N = 90.
6) By the definition of right angles, ∠N and ∠M are right angles.
Related Questions
Students surveyed boys and girls separately to determine which sport was enjoyed the most. After completing the boy survey, it was determined that for every 3 boys who enjoyed soccer, 5 boys enjoyed basketball. The girl survey had a ratio of the number of girls who enjoyed soccer to the number of girls who enjoyed basketball of 7: 1. If the same number of boys and girls were surveyed, and 90 boys enjoy soccer, how many girls enjoy each sport?
Answers
Ratio of boys who liked soccer to boys who liked basketball = 3:5
Given :-
Number of boys who enjoyed soccer :-
[tex]\color{hotpink} = \color{hotpink}90 \: \: \color{hotpink}boys[/tex]
Total number of boys who were surveyed were equal to the total number of girls who were surveyed .
Which means :-
Let the total number of boys who were surveyed be x .
Total number of boys =
[tex] = \frac{3}{8} \times x = 90[/tex]
[tex] = x = 90 \div \frac{3}{8} [/tex]
[tex] = x = 90 \times \frac{8}{3} [/tex]
[tex] = x = \frac{720}{3} [/tex]
[tex]\color{hotpink}x =\color{hotpink} 240[/tex]
Which means a total of 240 boys were surveyed .
Number of boys who liked basketball :-
[tex] = \frac{5}{8} \times 240[/tex]
[tex] = \frac{1200}{8} [/tex]
[tex]\color{hotpink} = 150 \: \: boys[/tex]
Which means a total of 150 boys liked basketball .
Number of girls who liked soccer :-
[tex] = \frac{7}{8} \times 240[/tex]
[tex] = \frac{1680}{8} [/tex]
[tex]\color{hotpink} = 210 \: \: girls[/tex]
A total of 210 girls enjoyed soccer .
Number of girls who enjoyed basketball :-
[tex] = \frac{1}{8} \times 240[/tex]
[tex] = \frac{240}{8} [/tex]
[tex]\color{hotpink} = 30 \: \: girls[/tex]
A total of 30 girls like basketball .
Therefore , 210 girls enjoyed soccer and 30 girls enjoyed basketball .
Which set of line segments could create a right triangle? (4 points) 1) 24, 30. 35 2) 12. 18. 30 03) 18. 24. 30 4) 18. 24, 35
Answers
Answer:
Its 18,24,30
Step-by-step explanation:
I had the same question and this was the answer.Plus if you do the math this is the only one that equals c^2
help me answer this slope problem (10 points)
Answers
Explanation: ...
11. Given: 17 - 3(w + 5) = 6(w + 5) - 2w;
Prove: w = -4
Statements
Reasons
11.17-3(3+5)=6(W+5)-2W
2.17-30-15= 60 +30 -2W
3.-3W +2 = 4W+30
4. -7W +2=30
5. -W=28
1. W= -4
Answers
Answer:
Step-by-step explanation:
Statements Reasons
1). 17 - 3(w + 5) = 6(w + 5) - 2w 1). Given
2). 17 - 3w - 15 = 6w + 30 - 2w 2). Distributive property
3). -3w + 2 = 4w + 30 3). Addition property of equality
4). -7w + 2 = 30 4). Subtraction property of equality
5). -7w = 28 5). Subtraction property of equality
6). w = -4 6). Division property of equality
Which of the following is an example of a rational number that is not an integer?
4 , 0 , 1/5
Answers
Answer:
4
Step-by-step explanation:
Help please, hurry
Answers
Select the correct texts in the passage (see picture)
Answers
Answer:
Step 2 was the first mistake and the second option is the answer.
Step-by-step explanation:
Julia incorrectly factored the -1 from the second group of terms.
The correct option is (B)
What is expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation.
Given:
2x^4 + 2x³ -x²-x
While solving the above expression in the third step
x(2x²(x+1)) - 1(x-1)
should be
x(2x²(x+1)) - 1(x + 1)
Hence, Julia incorrectly factored the -1 from the second group of terms.
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3x-11+6x-10+x=180
For this question I got 17.7 is that correct
Answers
Answer:
Your answer is correct
Liam rented a pedal board for 5.5 hours and paid a total of $93.75. What is an equation in point-slope form that
models the cost of renting a pedal board for x hours? How can Liam use the equation to find the one-time service
charge?
Answers
Answer: if y is the total cost of the rental, then y-93.75=12.5(x-5.5) models the cost of renting a pedal board for x hours. liam should rewrite the equation from the previous step so that y is isolated on one side. the constant on the other side is then the service fee.
Step-by-step explanation:
yeah that’s all
The point-slope form equation is an equation that has a slope "m" and passes through a point or two points.
The equation to find the one-time service charge is 93.75 = 17.05x + b
The point-slope form equation is written as:
y = mx + b
Where
m = gradient
b = slope of the line
Liam rented a pedalboard for 5.5 hours and paid a total of $93.75.Therefore, the cost of renting a pedalboard for 1 hour
= $93.75/5.5
= $17.05
a) An equation in a point-slope form that models the cost of renting a pedal board for x hours is written as:y = mx + b
Where
y = Total charge = $93.75
m = Cost of renting a pedalboard per hour = $17.05
x = Number of hours for renting a pedal board
Hence, the equation is given as:
93.75 = 17.05x
b)The equation to find the one-time service charge where the service charge is b is given asHence, the equation is given as:
93.75 = 17.05x + b
Where b = service charge
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What is a number x divided by -9 is -16 no
Answers
Answer: x = -144
Step-by-step explanation:
x/9 = -16
9*(x/9) = (-16)*9
x = -144
charlie buys a 2 metre length of wood. he wasted 6 cm. what percentage did he wasted
Answers
Answer:
3%
Step-by-step explanation:
2 meter = 200cm
6cm/200cm = 3/100
3/100 x 100 = 3%
Hope this helps...
Paul is making a ball-toss game for his club booth at the fair. He wants to make the circumference of the holes at least 3 inches greater but not more than 4 inches greater than the circumference of the ball. One person suggests that Paul can make the diameter of the hole 1 inch greater than that of the ball. Another suggests the diameter should be 2inches greater. Which suggestion should Paul choose? Explain
Answers
Answer:
Paul can make the diameter of the hole 1 inch greater than that of the ballStep-by-step explanation:
we are going to assume a diameter of the hole has 6in
the radius of the ball is 3in
we looking at a range of the hole greater by (3<4)
we know that the circumference of a circle is given as
the circumference of the ball is
C=2πr
C=2*3.142*3
C=18.85in
The circumference of the hole is ( 1 inch greater )
C=2πr
say the diameter is 6in plus 1in = 7in
the radius =3.5in
C=2*3.142*3.5
C=21.99
compare with the ball the difference is 21.99-18.85
=3.14 which is in the range
The circumference of the hole is ( 2inches greater. )
C=2πr
say the diameter is 6in plus 2in = 8in
the radius =4in
C=2*3.142*4
C=25.13in
compare with the ball the difference is 25.13-18.85
=6.28 which is out of the range
Sally's soccer team played 25 games and won 17 of them. What percent did the team win
Answers
Answer:
68%
Step-by-step explanation:
Answer:
Sally's soccer team won 68% of the games they played.
Identify the x and y intercepts 10x+4y=-20
Answers
Answer:
(-2,0) and (0,-5) on the graph for the interprets x and y.
Note: I need points lol, pls put thanks and vote your stars for me! Thx!
The required x and y-intercept of the given equation is x = -2 and y = -5.
Given that,
An equation of the linear function is given 10x + 4y =-20, x and y-intercept of the function are to be determined.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Given a linear function,
10x + 4y = -20
In order to get the values of the intercept we have to put x and y to zero individually,
First, for x-intercept y = 0
10x + 4(0) = -20
10x=-20
x = -2
Second for y-intercept x = 0
10(0) + 4y = -20
y = -5
Thus, the required x and y-intercept of the given equation is x = -2 and y = -5.
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Bianca deposits $3000 in a savings account earning 4.25% simple interest per year. How much interest will Bianca earn for a period of 5 years?
Answers
Answer:
$637.50
step by step explanation :
P = $3000
t= 5years
r = 4.25% per annum
Interest = (p×r×t)/100
= (3000×4.25×5)/100
= $637.50
Answer:
uhhhhhhh anywun know ze answer?
Step-by-step explanation:
What is 2/3 divided by 1/6
O 2
O 3
O4
O 6
Answers
How many solutions does the following equation have? -7x + 3 = 2x + 2 - 9x *
1 point
No solution
One solution x = 5
Infinite solutions
One solution x = 7
Answers
Answer:
no solutions because you would get an outcome of a not real world problem
What multiplies to be a 20 and adds to be a -21?
Answers
Answer:
-20 & -1
Step-by-step explanation:
-20+-1=-21
-20*-1=20
Increasing 20 to 40 is the same as increasing 20 by
. So, it is a 100% increase. Decreasing 40 to 20 is the same as decreasing 40 by one-half of
. So, it is a 50% decrease.
Answers
Answer:
whats the question?
Find the value of x using segment addition below.
Answers
You get this answer by combining
2x-3+2=x+4
7( x-2) -3(x+3) = 5(x-3) + x
Answers
Answer:
-4
Step-by-step explanation:
ig i was right the first time
I What are the subsets of dog cat fish
Answers
Answer:
Mammals
Step-by-step explanation:
these vertebrates are considered mammals
Answer:
Subsets of {dog, cat, fish} are Ф, {dog}, {cat}, {fish}, {dog, cat}, {dog, fish}, {cat, fish}, {dog, cat, fish}
if that doesn't work do
4 - Practice: Working with Sets Practice
1. D
2. B
3. A
4. C
5. A
6. C
7. C
8. D
9. C
10. B
-cc
hope this helped please mark me brainliest!
PLEASE SOMBODY HELP ME I WILL GIVE BRAINLY IF YOU ARE CORRECT 10 POINTS
Answers
2.D= 125/v
3.80= m/1.4
4.D= m/v
Find the height of an equilateral triangle with sides 12 cm long.
Answers
Answer:
12cm
Step-by-step explanation:
Since it is an equilateral triangle, meaning that all sides are equal the height is 12 cm.
How many total cups of orange paint will this mixture yield?
Answers
Answer:
At least 6 but are there answer choices or at least a picture of the mixture
~ Zachary
The perimeter if a rectangle is 84 inches. The length is 12 inches less than twice the width. Find the length and width of the rectangle.
Answers
Answer:
Length= 7 Width=2
Step-by-step explanation:
Hailey must make at least $200 in sales each week. So far this week, she has already made $60 in sales. How much more does she
need in sales this week (2) in order to meet her goal?
Answers
Answer:
140!
Step-by-step explanation:
200 - 60 = 140
If a turtle walks 24 meters in 30 minutes, about how many minutes will it take the turtle to walk 36 meters?
Answers
30/24= 1.25m per min
= 1.25×36= 45 minutes
BRAINLEST ANSWER!! please show the steps
4 (2x-7) +4 > -88
Answers
Step-by-step explanation:
4(2x-7)+4>-88
4(2x-7)>-92 Subtract 4 from both sides
8x-27>-92 Distributive property
8x>-65 Add 4 to both sides
-8x<65 I call this the negative switch, but it is called something else
x<-8.125
Jeremy performs the same operations on 4 values for x. He records each resulting y-value in a table, which equation shows the operation Jeremy performs on x to get to y?
x: 2,4,6,8
y:5,13,21,29
Answers: y= 2x+1 , y= 4x-3 , y= x+3 , y= 3x-1
Answers
Answer:
y= 2x+1
Step-by-step explanation: