Match the justifications for each step in order to prove the Alternate Interior Angles Theorem. Note that lines p and q are parallel. p∥q
∠1≅∠7
∠1≅∠3
∠3≅∠7
Answer:
Option (3)
Step-by-step explanation:
There are two parallel lines 'p' and 'q' and a transversal line is intersecting these lines at two distinct points.
Each pair of angles formed on the inner side of the parallel lines but opposite sides of the transversal line are the alternate interior angles.
Pair of angles (∠2 and ∠6) and (∠3 and ∠7) are the alternate interior angles.
Since, alternate interior angles are equal in measure,
∠2 ≅ ∠6
∠3 ≅ ∠7
Option (3) will be the answer.
The sum of two numbers is 58. The larger number is 20 more than the smaller number. What are the numbers
Answer:
39 and 19
Step-by-step explanation:
sum: a+b=58
larger: a-b=20
(a+b)-(a-b)=58-20
2b=38 --> b = 19, a=39
A dining room set lists for $1500, and carries a trade discount of 40 percent. Freight charges are $150. Calculate the final price of the dining room set.
Answer:
1050
Step-by-step explanation:
40 percent of $1500 is $600
$1500-$600=$900
$900+$150=$1050
Matt, Steve and John sold magazines for a school fundraiser. John sold two less than Matt. Steve sold twice as many as John. Write a simplified expression representing the total amount of magazines sold
Answer:
4x - 6
Step-by-step explanation:
Matt: x
Steve: 2(x - 2)
John: x - 2
Total magazines sold:
x + 2(x - 2) + (x - 2)
x + 2x - 4 + x - 2
4x - 6
The simplified expression representing the total amount of magazines sold is 4x - 6
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that Matt, Steve and John sold magazines for a school fundraiser. John sold two less than Matt. Steve sold twice as many as John.
Let the variable Matt: x
Steve: 2(x - 2)
John: x - 2
Now Total magazines sold:
x + 2(x - 2) + (x - 2)
Solving;
x + 2x - 4 + x - 2
4x - 6
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I need help I don’t understand...
Answer:
(1 , -2)
Step-by-step explanation:
The intersecting point of two lines is the solution
Answer: X→1(first blank) Y→-2(second blank) and or (1,-2)
14V + 5 − 5V = 4(V + 15)
Answer:
V=11
Step-by-step explanation:
Simplify:
14V-5V+5=4V+60
9V+5=4V+60
Subtract 4V on both sides:
9V-4V+5=4V-4V+60
Solve:
5V+5=60
Subtract 5 on both sides:
5V+5-5=60-5
5V=55
Divide by 5
V=11
Hope this helps!
Step-by-step explanation:
14V+ 5 - 5V= 4V+ 60|-60|-4V
14V + 5 -5 V - 60 - 4V =0
<=> 5V - 55 =0 |+55
<=> 5V = 55 |:5
<=> V= 11
A boy sits for 15 maths exams during the year and gains an average of 1.". He sits for one
more exam and receives a score of 65%. What is his new average?
New average
[tex] = \frac{1 + 65}{2} [/tex]
[tex] = \frac{66}{2} [/tex]
[tex] = 33[/tex]
Therefore, the boy's new average is 33%
What is the slope of the line on the graph?
Enter your answer in the box.
Answer:
-1/3
Step-by-step explanation:
If you divide rise over run you will do the equation -1 divided by 3 which is equal to -1/3
A mixture requires 4 cups of water for every 7 cups of flour used. Use the ratio table to determine how many cups of water should be used with 28 cups of flour?
Answer:
16 cups of water
Step-by-step explanation:
You find this by dividing 28 by your ratio of flour to get 4, then multiplying the cups of water, 4, by 4 to get 16 cups of water
Aiden is making hot cocoa for his friends each cup of cocoa has 2 marshmallows complete the chart below
Answer:
3,4 for cups of hot cocoa
4 for marshmallows
Step-by-step explanation:
dfggdr
Cups of hot cocoa Marshmallows
1. 2.
2. 4.
3. 6.
8. 16.
Rita had $20. Then she saved $5.85 each week for 8 weeks, How much money does she have now? Use the bar diagram to solve the problem. Show your work*
Answer:
$66.80
Step-by-step explanation:
multiply 5.85 by 8 and then add the product to 20 to get the total
After the eight weeks, Rita has $66.8 now.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given, Rita had $20.
Then she saved $5.85 each week for 8 weeks
That means,
she saved the amount,
= amount saved in one week multiplied by 8
She saved the amount
= $5.85 x 8
$5.85 × 8 means $5.85 is added eight times.
Rita saved the amount
= $5.85 x 8
= $46.8
To find the total amount;
$20 + $46.8 = $66.8
And bar diagram is in the attached image.
Therefore, she has $66.8.
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Calcular el área y el perímetro de un círculo que tiene 50 cm de radio
Answer:
Area: 7850 square cm
Perimeter: 314 cm.
Step-by-step explanation:
The area is [tex]\pi r^{2}[/tex]. With r=50, [tex]\pi 50^{2}[/tex]=2500π which is about (2500)(3.14)=7850.
The perimeter is [tex]2\pi r[/tex] which is the same as (diameter)(π). The diameter is 100, so [tex]100\pi[/tex] which is about (100)(3.14)=314.
How does the shape of the parabola change when you move the focus toward the vertex?
a.
It becomes more narrow
c.
It doesn't change
b.
It becomes wider
Please select the best answer from the choices provided
A
B
C
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
What is the approximate length of arc s on the circle below? Use 3.14 for s. Round your answer to the nearest tenth.
Answer:
6.3 or 6.28 to be exact
> Question A normal distribution is observed from the number of points per game for a certain basketball player. If the mean is 15 points and the standard deviation is 3 points, what is the probability that in a randomly selected game, the player scored greater than 24 points?
Answer:
The probability that in a randomly selected game, the player scored greater than 24 points is 0.0013 or 0.13%
Step-by-step explanation:
Given that
Mean = μ = 15 points
SD = σ = 3 points
For calculating probability for a data point, first of all we have to calculate the z-score of the value.
We have to find the probability of score greater than 24, then the z-score of 24 is:
z-score = (x-μ)/σ
z = (24-15)/3
z = 9/3
z = 3
Now we have to use the z-score table to find the probability of z<3 then it will be subtracted from 1 to find the probability of z>3
So,
[tex]P(z<3) = 0.9987\\P(z>3) = 1 - P(z<3) = 1-0.9987 = 0.0013[/tex]
Converting into percentage
0.0013 * 100 = 0.13%
Hence,
The probability that in a randomly selected game, the player scored greater than 24 points is 0.0013 or 0.13%
Answer:0.15%
Step-by-step explanation:
Notice that 24 points is three standard deviations greater than the mean. Based on the Empirical Rule, 99.7% of the player's game scores are within three standard deviations of the mean. Since the normal distribution is symmetric, this implies that 0.15% of the player's game scores are greater than three standard deviation more than the mean.
(7y + 5) - 2(4y - 3)
Answer:
-y+11
Step-by-step explanation:
Answer:-1y + 11
Step-by-step explanation:
7y + 5 - 8y + 6
-simplify
7y - 8y = -1y
5+6=11
= -1y + 11
Of the following situations, which is best represented by the product 5x (-3)?
A) The height of a child who grew 3 inches each year for 5 years
B) The change in temperature as it decreases 5 degrees every hour for 3 hours
C)The amount of money a snack bar earns for selling 3 sandwiches for $5 per sandwich
D)The change in elevation of a submarine as it sinks 3 meters every second for 5 seconds
Answer:
D is the answer!!
You are in the top bunk of a bunk bed and you want to turn the air conditioner on while your friend on the bottom bunk is fine is caused by
The answer is Convection
in the measurement of angle 1 is 110 degrees in the measurement of angle 3 is 2x + 10 degree what is the value of x
Answer:
7777777777y9hhf fxh hnbbh
Step-by-step explanation:
Help me out here pleaseeeeeeee
Answer: [tex]3\frac{1}{5}[/tex]
have: [tex]6\frac{1}{2}=6.5;\\\\3\frac{3}{10}=3.3[/tex]
Syd ran than Jose: [tex]6.5-3.3=3.2=\frac{16}{5}=3\frac{1}{5}[/tex] (miles)
Step-by-step explanation:
Answer:
[tex]3\frac{1}{5}[/tex]
Step-by-step explanation:
First you want to find the least common denominator so we can figure out this problem.
We have [tex]3\frac{3}{10} , 6\frac{1}{2}[/tex] so all we need to do is multiply ONLY the fraction next to the 6 so we can figure out what 1/2 and 3/10 correlates to which you will get
By multiplying by 5 you can get the same equation so the common denominator relates to one another.You get 5 by doing 10/2 which is 5.so your new question is
[tex]3\frac{3}{10} , 6\frac{5}{10}[/tex]
Which is so much easier, all you need to do is subtraction between the two!
5/10-3/10 is 2/10
2/10=1/5
Then we got the whole numbers
6-3=3
so the answer is [tex]3\frac{1}{5}[/tex]
Divide 4 ÷ 2 /5 = If you don’t answer-
Answer:
0.1
Step-by-step explanation:
what is 105 divided by 3=
it has a remainder
Answer:Are you sure because when I divide it gives me 35 it’s no remainder and when I check to see if 35*3 is 105 it’s correct
Step-by-step explanation:
IAnswer:
I don't think there is a remainder
Step-by-step explanation:
The perimeter of a square is 48 inches. What are its dimensions.
Answer: 192 cm
Step-by-step explanation:
Answer:
144 square inches
Step-by-step explanation:
the perimeter of a square means that all sides are equal. 48 divided by 4 = 12
They are as equal to the sides times each other 12 x 12=144
1) Suzie had $325.05 in her checking account. She deposited a check of $182, and
another for $50. She withdrew $100 to take to the casino with her. What is her new
account balance?
A pair of parallel lines is cut by a transversal, as shown:
A pair of parallel lines is shown cut by a transversal. Angle p is located in the upper right exterior next to the transversal, and angle q is located in the bottom left exterior corner of the transversal.
Which of the following best represents the relationship between angles p and q? (4 points)
p = 2q
p = 180 degrees − q
p = q
q = 180 degrees − p
Which is the correct choice?
Answer:
0.64
Step-by-step explanation:
Rational Functions in Daily life
Step-by-step explanation:
Rational expressions and rational equations can be useful tools for representing real life situations and for finding answers to real problems. In particular, they are quite good for describing distance-speed-time questions, and modeling multi-person work problems. Myra takes 2 hours to plant 500 flower bulbs.
If the expression ax(4x − 2y − 3) simplifies to 24x^2− 12xy − 18, what must be the value of a?
Given:
Consider the expression [tex]ax(4x-2y-3)[/tex] simplifies to [tex]24x^2-12xy-18x[/tex].
To find:
The value of a.
Solution:
We have,
[tex]ax(4x-2y-3)=24x^2-12xy-18x[/tex]
Using distributive property, we get
[tex]4ax^2-2axy-3ax=24x^2-12xy-18x[/tex]
On comparing the coefficients of [tex]x^2[/tex] from both sides, we get
[tex]4a=24[/tex]
[tex]\Rightarrow a=6[/tex]
Therefore, the value of a is 6.
Dont mind my answer plzz helpppp
Answer:
ok it is an Oligarchy :D
Step-by-step explanation:
I need the slope. The options are
A. -2 B. 0 C. 1 D. 2
Answer:
D.2
Step-by-step explanation:
The only feasible answer that I see fit, is D, as it is the only whole number that is perpendicular to the graph.