Answers
Answer:
CD = 32 units
Step-by-step explanation:
The midpoint divides the segment into congruent parts:
CM = MD
8(x -2) = 4(5x -16)
2(x -2) = 5x -16 . . . . . . divide by 4
2x -4 = 5x -16 . . . . . . . eliminate parentheses
12 = 3x . . . . . . . . . . . . . add 16-2x to both sides
4 = x . . . . . . . . . . . . . . . divide by 3
Then the segment measures are ...
CM = 8(x -2) = 8(4 -2) = 16
CD is twice that length. CD = 32 units.
_____
Additional comment
There are many ways to solve equations like this. The one usually recommended is to simplify it first. That generally means eliminating parentheses and collecting terms. Doing that would give ...
8x -16 = 20x -64
Since there is a common factor of 4 on both sides, we can divide by that, making the numbers smaller and eliminating one set of parentheses.
Of course, the properties of equality require that whatever operation you perform on one side of the equal sign must also be done on the other side. So "divide by 4" means "divide by 4 on each side of the equal sign."
Related Questions
What is the measure of angle x?
Answers
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today!
We can solve this problem in two steps, one being comprehension and another being solving. I'll start off with comprehension.
Comprehension
We can start to solve this problem by looking at it.
We can see that there is a right angle, therefore the angles that are in it are Complementary (Add up to 90).
That means that 30+3x=90.
We can now begin solving.
Solving
We can start solving by setting up an equation.
[tex]30+3x=90[/tex]
We can do this because we know due to the law of complementary angles that 30 and 3x MUST equal to 90.
[tex]3x=60\\x=20[/tex]
We can do basic algebra, we can find out that x is equal to 20 degrees. Let's now check our answer.
[tex]30+3(20)=90?\\30+60=90?\\90=90[/tex]
Therefore the answer is x=20 degrees
Cheers!
Which ordered pair is a solution of the equation?
7x-2y=-57x−2y=−5
Answers
Answer:
what ordered pairs?
Step-by-step explanation:
Can someone reflect (7,6) across the x axis then reflect across the y axis
Answers
Answer:
(7, -6)
(-7, -6).............
..
Answer: -7,-6
Step-by-step explanation:
So if we look at a graph 7,6 is on the right upper quadrant since its completely positiv, once we relfect the x axis then it becomes 7,-6 then once we reflect across the why axis it finally becomes -7,-6
What will be the length of cloth used to make each bag, if 16 bags of equal sizes can be prepared from 50 m cloth?
A) 3 1/4 m
B) 8 1/6 m
C) 8 1/3 m
D) 3 1/8 m
Answers
Answer:
3 1/8
Step-by-step explanation:
16 bags = 50 m
1 bag = 50/16
1 bag = 25/8
1 bag = 3 1/8 ( due to mixed fraction )
so the cloth needed to make one bag is 3 1/8 m
Please solve for x. Possible answers are A. 3 B. 10 C. 28
Answers
Answer:
x=28
Step-by-step explanation:
So first slove for the right angle triangle
a²+b²=c²
a=12 and c=15
12²+b²=15²
144+b²=225
b²=225-144
b²=81
b=√81
b=9
so now that you know the top two sides add 10 due to the lenght given on the bottom
9+10+9=28
Help pleasee giving brainliest!!
Answers
Answer:
x=21
<1=120
Step-by-step explanation:
So to find x set up an equation like this:
(5x+15)+(3x-3)=180
since the bottom and top lines are congruent they are 'interior angles on the same side of a transversal' which are always supplementary, so that's where 180 comes from.
calculate the equation and you'll get x=21 :D
next to find 1 just put 21 in place of x: 3(21)-3=60
since it's supplementary to angle 1 you take 180-60=120
angle <1=120!
Identify the form the following equation is in y = 2/3x - 7
Answers
Answer:
Point slope form
[tex]y=mx+b[/tex]
Alex borrowed 12.50 from his friend. He paid him back 8.75. How much does he still owe?
Answers
Answer:
3.75
Step-by-step explanation:
If Alex borrowed 12.50 and paid him back only 8.75, that means he still owes him 3.75. 12.50 - 8.75 = 3.75
Please help with this as well! Mind to give the explanation too? Just so I know
Answers
Answer:
i found out how to get 50
Step-by-step explanation:
14 + 18 x 2 = 50
1. The diameter of each tire on a model car is 10.668 mm. The actual diameter of a car's tire is 5.29 X 102 mm. About how many times larger is the actual diameter of a car tire than the diameter of the tire on the model car? A 5 times B 50 times +90 100 times D 500 times
Answers
The number of times the actual diameter is larger than the model is 50 times.
A tire has the shape of a circle. The diameter is line that goes through the center of a circle and divides the circle into two.
In order to determine how many times larger the actual diameter is greater than the model, the actual diameter would be divided by the diameter of the model.
5.29 x 10² ÷ 10.668
529 ÷ 10.668
= 49.6
= 50 times
Please find attached an image of a circle. To learn more, please check: https://brainly.com/question/13590859
Rewrite the equation by completing the square.
x? - 8x + 7 = 0
(x + __)^2 = 0
Answers
Answer:
(x - 4)² - 9 = 0
Step-by-step explanation:
x² - 8x + 7 = 0
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² - 8x
x² + 2(- 4)x + 16 - 16 + 7 = 0
(x - 4)² - 9 = 0
Two trains are traveling at a constant rate. Find the rate of each train. Which train is traveling at a faster rate?
Answers
Answer:
Train A
Step-by-step explanation:
Look at the table.
Train A : 75 - 50/ 3 - 2 = 25 mi/n
Train B : 40 - 0/ 2 - 0 = 20 mi/n
25 > 20
So it's train A.
{ RATE }
It takes Billy 40 minutes to drive to his friends house at his normal speed but it takes two hours if he drives 20 mph slower how far away is Billy's friends house
Answers
Answer:
Step-by-step explanation:
d/t=mph
Billy's friend's house is 20 miles away from him.
What is Speed?
The ratio of the distance travelled by an object to the time required to travel that distance.
Given that when Billy moves with his normal speed, it takes 40 min for him to reach his friend's house and if he slows his speed to 20 mph he takes 2 hours to reach the same distance.
We know, Speed = Distance/time
Let x be Billy's normal speed,
Therefore, 2x/3 = 2 (x - 20)
2x/3 = 2x - 40
x = 3x - 60
x = 30
Therefore, Billy's normal speed is 30 mph
Distance covered by him = 2 (30 - 20) = 20 mi
Hence, Billy's friend's house is 20 mi far.
For more references on speed, click;
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7. Two numbers are at a ratio of 5: 9. Find the larger number if the smaller number is 35.
Answers
Answer:
63
Step-by-step explanation:
help please and thank u
Answers
Answer:
The line is y = (1/2)x + 3
Step-by-step explanation:
We can calculate a slope. I'll use the two points (-4,1) and (-1,2.5).
Rise = (2.5-1) = 1.5
Run = (-1-(-4)) = 3
Rise/Run = Slope = (1.5/3.0) = 1/2
Find b, the y-intercept, by using point (-4,1) in the equation y = (1/2)x + b
y = (1/2)x + b
1 = (1/2)*(-4) + b
1 = -2 + b
b=3
The line is y = (1/2)x + 3
Please help and no links, thanks:) that would be nice
Answers
Answer:
4(x + 9) = 3
Step-by-step explanation:
Since it says four times the sum of a number and 9, we would use the distributive property: 4(x + 9), in simplified form, it equals to 4x + 36.
Answer:
4(x9)=3
Step-by-step explanation:
What is the range
of 98, 99, 100,
90, 98, 100?
Answers
Answer:
10
Step-by-step explanation:
Increasing order:-
90,98,98,99,100,100Range = Highest term - Lowest term
Range = 100 - 90
Range = 10
Hence,
Range of the given term is 10
Answer:
10Step-by-step explanation:
The data set in ascending order:
90, 98, 98, 99, 100It has min = 90, max = 100
The range is the difference between min and max:
100 - 90 = 10PLEASE hELP
Find the domain of the function shown in the graph below?
Answers
Answer:
All real numbers with vertical asymptotes at -2 and 6
Step-by-step explanation:
The domain of the function is all the possible x values of the function, so the solution is all real numbers with vertical asymptotes at -2 and 6 because the values never cross here.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
answer this
help me with this question.
Answers
Answer:
i cant read the handwriting
Step-by-step explanation:
Can someone help me. All i need o know is what is the value after 10 years i done the equation part by myself
NO BOTS OR ILL REPORT YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
ILL GIVE BRAINLY TO CORRECT ANSWER
100 points
Answers
Answer:
$4811
Step-by-step explanation:
Initial price = 35,000
18% decrease anually = 18/100 = -0.18
after 10 years
substitute these values in the formula shown in below figure
A = 35000 * ( 1 + -0.18/1 ) ^10
= 35000 * 0.82^10
= 4,810.681
= $4811
PLEASE HELP ME ASAP TYSM
Answers
The sale price is 85% of the regular price.
-If regular price is 100% and there is a 15% discount, The sale price will be 85% of reg. price.
100-15=85
Answers:
- Sale price: $25.50
-85%of 100%
-Discount: 15%
-$4.50
You can check by the following:
30-25.5=4.5
30-4.5=25.5
4.5+25.5=30
25.5+4.5=30
100-15=85
100-85=15
85+15=100
15+85=100
(Brainliest?) ^^
AB, BC and CD are three sides of a regular octagon.
Find the size of angle BAC.
Give reasons for your answer.
Answers
Answer:
22.5°
Step-by-step explanation:
The exterior angle at B is 360°/8 = 45°. The congruent interior angles of the triangle at A and C total this amount. The angle BAC is 45°/2 = 22.5°.
Between what two whole numbers is 5/6 located on the number line? help please!
Answers
Answer:
Hello there!
5/6 is located between 0 and 1.
Step-by-step explanation:
5/6 is less than 1, because 1 = 6/6 in this scenario.
At the same time, it's greater than 0!
5/6 is located between 0 and 1 on the number line!
Which numbers are irrational
Answers
Answer:
A & B
Step-by-step explanation:
A rational number is a number that can be written as a fraction or a terminating or repeating decimal. An irrational number is one that cannot be written as a fraction, or one that goes on forever without terminating or repeating in any way. Let's check all of our options and find the ones that are irrational.
Our first option (A) looks irrational! The "..." shows us that it goes on forever, and it doesn't look like it repeats. So this option is irrational.
Our next option is B, the square root of 24. What is the square root of 24? Well, if we look it up on a calculator, we get 4.89897948557..., and it looks like this one doesn't terminate or repeat either. So option B is also irrational.
Option C is the square root of 121. The square root of 121 is 11, which can be written as a fraction (11/1) and is a terminating decimal. So it's rational.
Our last option is D, and it is written already as a fraction, so we know for sure that it's rational. If we divide it out, we get 0.44444... with the 4 going on forever. It's a repeating decimal, and repeating decimals are rational.
So our final answers for which are irrational are A & B.
Benny loves eating fruits. Benny paid $4.30 for apples, and $7.02 for peaches with
a $20 bill. How much change did Benny receive?
Answers
round 87,255 to the nearest ten thousand.
Answers
Answer:
90,000
Step-by-step explanation:
The FAA tracks average flight delays. It found that, last year, a particular airline had an average flight delay of 20 minutes. So far this year, the airline has an average that is 45% shorter. What is the current year's average?
Answers
Answer:
11 minutes
Step-by-step explanation:
45% of 20 can be found by multiplying 20 and 0.45
which equals 9
so if the average delay was 20 but is now 9 minutes shorter then the current year's average is 11 minutes
The average delay in the current year is 11 minutes.
Given that, last year, a particular airline had an average flight delay of 20 minutes.
This year the airline has an average that is 45% shorter.
We need to find what is the current year's average.
What is average?In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Now, 45% of 20=45/100×20=9
So,20-9=11
Hence, the average delay in the current year is 11 minutes.
To learn more about the average visit:
https://brainly.com/question/24057012.
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A cab company charges a $3 boarding rate in addition to its meter which is $2 for every mile. What is the equation?
Please give an actual answer
Answers
What is the lowest value of the range of the function
shown on the graph?
5
4
4
©
3+
Q-2
Nw
2
0 0
14
3
-5 4 -3 -2 -1,
2
3
4/5
x
--2
3
-4+
of
Answers
Answer:
-2
Step-by-step explanation
range is just the y level, so the lowest point on the y axis that the function reaches is -2
a. 17 + 6 10=17,6 b. 45 + 6 100 5 c. 3 + + 10 2 100 7 8 d. 6 + + 9 + 10 100 1 000 6 e. 11 + + 10 8 1 000 f. 84 + 1 3 + 100 10
Need help me
Answers
Step-by-step explanation:
a. 17 + 6/10 = (17 x 10) / (1 x 10) + 6/10 = 170/10 + 6/10 = 176/10 = 17,6
b. 45 + 6/100 = (45 x 100) / (1 x 100) + 6/100 = 4 500/100 + 6/100 = 4 506/100 = 45,06
c. 3 + 5/10 + 2/100
= (3 x 100) / (1 x 100) + (5 x 10) / (10 x 10) + 2/100
= 300/100 + 50/100 + 2/100
= 352/100 = 3,52
d. 6 + 7/10 + 8/100 + 9/1 000
= (6 x 1 000) / (1 x 1 000) + (7 x 100) / (10 x 100) + (8 x 10) / (100 x 10) + 9/1 000
= 6 000/1 000 + 700/1 000 + 80/1 000 + 9/1 000
= 6 789/1 000 = 6,789
e. 11 + 6/10 + 8/1 000
= (11 x 1 000) / (1 x 1 000) + (6 x 100) / (10 x 100) + 8/1 000
= 11 000/1 000 + 600/1 000 + 8/1 000
= 11 608/1 000 = 11,608
f. 84 + 1/100 + 3/10
= (84 x 100) / (1 x 100) + 1/100 + (3 x 10) / (10 x 10)
= 8 400/100 + 1/100 + 30/100
= 8 431/100 = 84,31.
Hope this helps!!