If M is the midpoint of PQ. MQ = 5x + 8 and PQ = 6x + 56, then PM = 58
Since M is the midpoint of PQ
PM + MQ = PQ................(*)
Given:
PQ = 6x + 56
MQ = 5x + 8
Substitute PQ and MQ into equation (*)
PM + (5x + 8) = 6x + 56
Collect like terms
PM = 6x + 56 - (5x + 8)
Expand the equation using the distributive rule
PM = 6x + 56 - 5x - 8
PM = 6x - 5x + 56 - 8
PM = x + 48.........(**)
Equate MQ and PM
MQ = PM
5x + 8 = x + 48
Collect like terms
5x - x = 48 - 8
4x = 40
Divide both sides by 4
4x / 4 = 40/4
x = 10
Substitute x = 10 into equation (**)
PM = x + 48
PM = 10 + 48
PM = 58
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Find the missing angle measures.
What is m∠1?
a. 50
b. 105
c. 100
d. 60
Answer: C
Step-by-step explanation:
we know that the third angle of the triangle with 50 and 50 degrees is 80 because a triangle has 180 degrees. we also know that 80 + the measure of angle 1 = 180 and 80 + 100=180
M is the midpoint of PQ. MQ=5x+8 and PQ = 6x+56, find PM
Answer:
PM = 58
Step-by-step explanation:
The question tells us that the full line has a value of 6x+56. The midpoint divides this line into equal pieces. We are also given the value of half (MQ) of the line (5x+8). By subtracting 5x+8 from 6x+56, we can figure out the value of the other half of the line (PM).
This gives us the expression for PM: x+48
Now, since these are both the two parts of the midpoint, by definition, we know they're equal.
You equal both equations and get x=10
You plug in 10 as x in the expression we got for PM (10+48), which gives us the value 58.
p(-2)=-3+4x help help
The sum of 6 times a number 3 and 9
is .
Step-by-step explanation:
28 is the answer because you multiply 6×3 and it is equal to 18 and add 8 is equal to 28
Which situation results in a final value of zero?
the overall change in temperature when the temperature goes from -10°F to 10°F
the total profit made when a person buys an item for $3 and then sells the item for $3
the overall change in altitude of a hot air balloon after rising 21 kilometers from sea level
the total distance a person travels when he bikes 5 miles to school and then bikes 5 miles back home
answer po pls pls plsss
Answer:
28
Step-by-step explanation:
- 14 x - 2 = 28
28 is the answer.
Answer:
28 cause -14 * -2 = 28
Step-by-step explanation:
I don't mean 2 sound rude but try to do this simple stuff on your own it will help u in the future
A group of 7 students was asked,
"How many hours did you watch
television last week?" Here are
their desponses.
7, 10, 5, 6, 19, 8, 17
Find the mean number of hours for
these students.
If necessary, round your answer to
the nearest tenth.
Lenovo
Answer:
10.3 hours
Step-by-step explanation:
(7+10+5+6+19+8+17)/7
= 72/7
= 10.3
In -10x + y - 5; -10x and y are what?
Answer:
The answer is -20x+1y-5
Step-by-step explanation:
What is the factored form of this expression?
-9x3 - 12x2 -4x
OA. —x(3x + 2)2
O B. –x(3x − 2)(3x + 2)
OC. x(3x- 2)(3x+ 2)
OD. x(3x-2)2
Answer: A
Step-by-step explanation:
Help plsssssssssssssss
What is the length of time
passed from 3:45 p.m. to 10 p.m.?
Answer:
your answer is the length of time is 7 hours and 15 minutes
Step-by-step explanation:
hope it helps
Convert the measurement as indicated
90 in to yards
Answer: 2.5 yards
Step-by-step explanation: Divide the inches value by 36. 90/36 = 2.5
and y =
4
4
Which is the solution of the equation (4y - 3)2 = 12?
3+2v3
3-23
a. y =
3+2V2
b. y =
and y =
-3-2V2
4
63
-63
y=-
and y =
4
4
3v2
-3/
and y =
4
C.
d. y =
4
4
Answer
10
Step-by-step explanation:
PLEASE HELP !!!! SYSTEMS OF EQUATIONS
In the student government election, Maddie received 20% more votes than her opponent. A total of 1,485 votes were cast for both candidates. How many votes did Maddie receive?
Answer:
Maddie got 810 votes
Step-by-step explanation:
We'll call Maddie's votes x, and her opponent's votes y.
x + y = 1485
x = y + 0.20y (because she got the same number of votes as her opponent, PLUS another 20% of that number. Divide 20% by 100 to get the decimal equivalent) This can also be written as x = 1.2y
So our system is
x + y = 1485 and
x = 1.2y
Substitute the second equation's value for x into the first equation:
1.2y + y = 1485 then solve for y
2.2y = 1485
divide both sides by 2.2
y = 675
substitute that in and solve for x
x + y =1485
x + 675 = 1485
subtract 675 from both sides
x = 810
Please let me know if you have questions on this answer. Hope it helps.
PLZZZZZZZZZ HELPPPPPPPPPPPPP
Stacy started a baking account with $150 and is spending $7 per day on lunch. This situation models which type of function?
Answer:
Linear function
Step-by-step explanation: For each day, you spend $7. This situation models a linear function.
is y= 4x(8 -x) a linear or a nonlinear function?
Answer:
nonlinear
Step-by-step explanation:
i attached my questions thx
Answer:
Answer:
1. x15 (a)
2. 1/x15 (b)
Step-by-step explanation:
multiply exponents
simplify expression
Step-by-step explanation:
Mr. Chu's cherry tree grew 12 inches in
3
4
of a year. At that rate, how much would it grow in 1 year?
Answer:
16 inches after one year
Step-by-step explanation:
in 3/4 a year tree grew 12 inches
divide by 3
multiply by 4
16 inches
given that f= x^3/4 +6. find f(4)
Answer:
here
f= x^3/4 +6
to find f(4)
Step-by-step explanation:
f(4)= 4^3/4+6
=64/10
= 6.4
PLEASE SOMEOME HELP ME MY HW IS DUE TMR ITS 8TH GRADE ALGEBRA 1 LINEAR FUNCTIONS
I only did the top part please I beg you help me
Answer:
I put 4, 5, & 6 in order in the photos.
7-8-9 are all linear functions which are written in the y=ax+b format, the ones I put in bold are the equations and I listed the values just in case I'm not sure how your teacher makes you write them.
7.
-0.6=a(-3)+b
0.2=a(1)+b
1.4=a(7)+b
a=0.2,b=0
y=0.2x
8.
-10=a(-5)+b
-1=a(-2)+b
17=a(4)+b
b=5, a=3
y=3x+5
9.
8=a(-5)+b
2=a(-2)+b
-18=a(8)+b
b=-2, a=-2
y=-2x-2
10.
The domain and range is negative infinity to infinity.
11.
For a basic subscription, a cable television provider charges an activation fee of $60, plus $125 per month. What linear function represents the total cost of basic cable subscription for t months? What is the total cost for two years of service?
y=125x+60
$310 for 2 months
$3060 for 2 years
Step-by-step explanation: let x be the number of months
y=125x+60
y=125(2)+60
y=310 dollars for two months
y=125(24)+60
y=3060 dollars for two years
I hope it helps!
What are the terms in the expression 2d + 7 + 5f?
2, 7, and 5
d and f
2 and 5
2d, 7, and 5f
Answer: 2d, 7, and 5f
Step-by-step explanation: i took the math quiz, decided to help
fill in the missing number-
2 + ? = -5
Answer:
the answer is -7
please mark this as brainliest
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{solution}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
let the missing number be x,
[tex]2 + x = - 5[/tex][tex]x = - 5 - 2[/tex][tex]x = - 7[/tex]hence, the missing number is -7
Steven says 5 x 1022, carbon atoms are in 1 gram of carbon. How many carbon atoms
are in 3 grams of carbon?
In 1 gram if carbon there is 5 × 10²² carbon atoms,
so, in 3 grams of carbon the number of carbon atom is equal to :
[tex]3 \times 5 \times 10 {}^{22} [/tex][tex]15 \times 10 {}^{22} [/tex][tex]1.5 \times 10 {}^{23} \: \: carbon \: \: atoms[/tex]After watching Donald Duck in Mathmagic Land, please type out three things that you learned from the video. Did you like the video? Why or why not? Please answer all parts to the question
Answer:
Hope this helps
Step-by-step explanation:
Mathmagic Land had taught me more about math that I never knew before. I learned that everything can be involved with math. It all starts at the Pythagoreans which were the Greek. An example of how math is used today, is by playing billiards.
In billiards, you have to have a good technique of how your going to hit the ball, (good angles,) and you have to have a precise calculation of the angle your going to hit it at.I also learned when you cut shapes like a sphere, it just makes more and more shapes.
This is what I learned watching the Mathmagic Land Video.
Yes, Donald Duck in Mathmagic Land taught me alot of things I did not know before.
what is x/y+z=w to make x the subject of the formula
We can make x the subject of the equation by moving all the other terms to the opposite side of the equal sign while x is on the next.
x/y+z=w [multiply both sides by y+z]
x = w (y + z)
Johnny went out to dinner with his two friends. Johnnys meałeast $12.32, Marks
meal cost $11.23, and Annas meal cost $7.89. After a tax of 8% and chipsi 5%,
What is the total amount of the bill?
Answer:
$35.53
Step-by-step explanation:
12.32+11.23+7.89=31.44
31.44*0.08(for the 8% tax)=2.52
31.44*0.05=1.57
31.44+2.52+1.57=35.53
This graph shows a reciprocal parent function.
Which statement best describes the function
A. The function is always increasing
B. The function is increasing when x<0
C. The function is never increasing
D. The function is increasing when x>0
Answer:
C. The function is never increasingStep-by-step explanation:
According to the graph, the line goes down in both sections as the value of x increases. It means the function is always decreasing.
Correct answer choice is:
C. The function is never increasingThe best describes the function is,
''The function is never increasing.''
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
This graph shows a reciprocal parent function.
Since, We have;
According to the graph, the line goes down in both sections as the value of x increases.
It means the function is always decreasing.
Hence, Correct answer choice is:
C. The function is never increasing.
Learn more about the function visit:
https://brainly.com/question/11624077
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Josh was driving on a road that had a 30 mi/h speed limit posted. A deer jumped out from the side of the road, causing him to slam on the brakes. His tires left 71 ft skid marks. The road had a drag factor of 0.78. His brakes were operating at 95% efficiency. Should Josh get a ticket for speeding?
Answer no
Step-by-step explanation:
please mark brainlyest
Katie works at a local fast food restaurant. She has $1200 in the bank. She just bought a car. It's value is $10,000, but she has a loan from the bank for $9100. She also has a horse that has a value of $1500, and tack and supplies for the horse worth $850. What is Katie's net worth?
Answer:
33450
Step-by-step explanation: