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Given:
Given that MNP is a triangle. Q is the midpoint of MN and R is the midpoint of NP.
The length of QR is 4x -11 and the length of MP is 9x - 29.
We need to determine the measure of MP.
Value of x:
The value of x can be determined using the triangle midsegment theorem.
Applying the theorem, we have;
Substituting the lengths, we get;
Subtracting both sides by 8x, we have;
Adding both sides of the equation by 29, we get;
Thus, the value of x is 7.
Measure of MP:
The measure of MP can be determined by substituting x = 7 in the length of MP.
Thus, we have;
Thus, the measure of MP is 34.
Step-by-step explanation:
Gary has 4 pencils 12 markers and 24 crayons, what is the ratio of pencils?
Answer:
1:10 [simplified from 4:40)
Step-by-step explanation:
4 pencils+ 12 marker+ 24 crayons=40
4 pencils: 40 items
1 pencil : 10 items
i dunno if this was right but there you gooo lol</3
About 0.34 of the length of a cat is its tail. Write this decimal as a percent.
thirty years later the washington monument was finally completed, and the angle of elevation to the top of the monument from the same marker was 70o. to the nearest foot, how many feet were added to the phase 1 structure of the washington monument?
Answer:
Congress immediately tabled its expected contribution of $200,000 to the Society, effectively halting the appropriation. During its tenure, the Know-Nothing Society added only two courses of masonry, or four feet, to the monument using rejected masonry it found on site, increasing the height of the shaft to 156 feet
Step-by-step explanation:
greatest common factor of 27q^2 - 9
Answer:
9(3q^2−1)
Step-by-step explanation:
20 POINT!!
Can someone help me I don’t understand it at all
Answer:
second
Step-by-step explanation:
substitute y=6 and x=1 in the given relations and see if works
y=2x will be 6 = 2*1 false
y=x+5 will be 6 = 1+5 true
because this is true check all the other y and x and if all true is good
7=2+5 true, 8=3+5 true 9= 4+5 true, 10=5+5 true, so second is good
y=2x+1 will be 6=2*1+1 false
y=3x+1 will be 6=3*1+1 false
I need help! :) +no links please and thank you!
Answer:
Step-by-step explanation:
(14×2)+(14×4)
7×(3+5)
c, e and g
can anyone help with this problem?
Answer:
The numerator factors to
[tex](x + 2)(x - 1)[/tex]
The denomenator factors to
[tex](x + 4)(x - 1)[/tex]
1. What is the slope of the line through the points (-4, 2) and (—16,-6) PLEASE HELP
Answer:
2/3
(-4, 2) and (-16, -6)
slope = m = (y2 - y1) / (x2 - x1) = (-6 - 2) / (-16 - -4) = -8 / -12 = 2 / 3 = 0.667
I hope you got it right :)
One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 35 individuals who consider themselves to be avid Internet users results in a mean time of 1.99 hours watching television on a weekday.
Required:
Determine the likelihood of obtaining a sample mean of 1.99 hours or less from a population whose mean is presumed to be 2.45 hours.
Answer:
Step-by-step explanation:
If something cost $60 and it has a markdown of 40% what is the sale price
Answer:
Your total is now $36
Step-by-step explanation:
Multiply 60 times 40%
and it will show that you saved $24
subtract $60 - $24
there's your answer.
What is the sum? Complete the equation.
-5 + (20)
Answer: The answer is 15
HOPE THIS HELPS AND HAVE A VERY GOOD DAY
Choose which method to use: Law of Sines or Use Law of Cosines.
Answer:
we have
b=3mm
c=5mm
a=?
angle =62°
By using cosine rule.
a²=b²+c²-2bc cos angle
a²=3²+5²-2×3×5 cos 62°
a²=19.92
a=√19.92
a=4.5
I had choose cosine rule.
How to graph 5a-6b=18
Answer:
[tex]a = \frac{ - 6}{5} b + \frac{18}{5} [/tex][tex]b = \frac{ - 5}{6} a + 3[/tex]Step-by-step explanation:
Let's solve for a .
[tex]5a+6b=18[/tex]
Step 1: Add -6b to both sides.
[tex]5a+6b+−6b=18+−6b[/tex]
[tex]5a=−6b+18[/tex]
Step 2: Divide both sides by 5.
[tex] \frac{5a}{5} = \frac{ - 6b + 18}{5} [/tex][tex]a = \frac{ - 6}{5} b + \frac{18}{5} [/tex]Let's solve for b.
[tex]5a+6b=18[/tex]
Step 1: Add -5a to both sides.
[tex]5a+6b+−5a=18+−5a[/tex]
[tex]6b=−5a+18[/tex]
Step 2: Divide both sides by 6.
[tex] \frac{6b}{6} = \frac{ - 5a + 18}{6} [/tex][tex]b = \frac{ - 5}{6} a + 3[/tex]Hope it is helpful....What is the solution to A=7x+40
9514 1404 393
Answer:
x = (A -40)/7
Step-by-step explanation:
Maybe you want to solve for x.
A = 7x +40 . . . . . given
A -40 = 7x . . . . . subtract 40
(A -40)/7 = x . . . divide by 7
The value of x will be ...
x = (A -40)/7
To the nearest tenth, what is the area
of the figure below? Use 3.14 for it.
Find the area of each figure. Round to the nearest tenth if necessary.
Answer:
1. semicircle=14.1372mm
parallelogram=40 mm
54.1372 mm^2
2. 180 ft
hope this helps
have a good day :)
Step-by-step explanation:
HELP ME WITH THIS PLEASE. THANK YOU
Answer:
I think it's 2
Step-by-step explanation:
Answer:
1/11 is correct.
Step-by-step explanation:
You can see that the 3 is spun 2 times, but we need to know how many times he spun in total.
2 + 3 + 2 + 4 + 5 + 2 + 1 + 3 = 22
2/22 = 1/11
Have a nice day!
PLEASE I NEED HELP ASAP!!
Answer:
Option C
Step-by-step explanation:
System of equations have been given as,
y - 4x = 16
y = 4x + 16 ------(1)
By comparing with slope-intercept form of the linear equation,
y = mx + b
Here, m = slope of the line
b = y-intercept
Therefore, m₁ = 4
2y = 8x + 16
y = 4x + 8 -------(2)
Slope of the line m₂ = 4
m₁ = m₂
Therefore, both the lines are parallel and both will not intersect each other.
Hence, there will be no solution of the system of equations.
Option C will be the correct option.
A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.1. If the distribution is approximately normal, find the probability that there will be fewer than 69 broken pretzels in a run.
Answer:
0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.1.
This means that [tex]\mu = 73.5, \sigma = 5.1[/tex]
Find the probability that there will be fewer than 69 broken pretzels in a run.
This is the p-value of Z when X = 69.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{69 - 73.5}{5.1}[/tex]
[tex]Z = -0.88[/tex]
[tex]Z = -0.88[/tex] has a p-value of 0.1894
0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.
The height of a triangle is 7 ft more than its base. If the area of the triangle is 30 ft2, what is the length of the base?
2 ft
5 ft
9 ft
12 ft
Answer:
see below
Step-by-step explanation: 5 27 7 16
area = 1/2 bh
height of a triangle is 7 ft more than its base
base = b
height = b + 7
area = 30
area = 1/2 b(h)
30 = 1/2 b(b + 7)
30 = 0.5(b²+ 7b)
30 = 1/2 b²+ 3.5b solve for b
1/2 b²+ 3.5b = 30
1/2 b²+ 3.5b - 30 = 0
b²+ 7b - 60 = 0 factor
(b +12)(b - 5) = 0 when b = -12 or 5 base length can't be negative
b = base = 5
area = 1/2 bh 1/2×2(9) = 9
area = 1/2 bh 1/2×5(12) = 60
area = 1/2 bh 1/2×9(16) = 56
area = 1/2 bh 1/2×12(19) = 114
In how many ways can a
president, vice president, and
treasurer be selected for a
club if the club has 40
members?
[?] ways
Note: „Pr =
(n-r)!
n!
PLEASE HELP
Answer:
59,280
Step-by-step explanation:
the answer is base in my previous learning.. hope it helps..
Evaluate: 9m+7n if m=-7 and n=4
Answer: look at the picture
Step-by-step explanation: Hope this help :D
For m = -7, n = 4, 9m+7n = -35
What is evaluating an algebraic expression?
"To solve or evaluate an expression is nothing but substitute the given value of the variable in the expression and then simplify the expression using the order of mathematical operations."
Given expression:9m+7n
We need to solve this expression for m = -7 and n = 4.
Substituting m = -7, n=4 in given expression,
⇒ 9m+7n
⇒ 9(-7) + 7(4)
⇒ -63 + 28
⇒ -35
Therefore, for m = -7, n = 4, 9m+7n = -35
Learn more about evaluating expression here:
https://brainly.com/question/1619296
#SPJ2
Plz help me well mark brainliest if correct.....?
Answer:
B. 8 x 12
Step-by-step explanation:
First of all, it has an area of 96
So lets find the multiplication pair that equals 96.
10 x 10 = 100 NO
6 x 16 = 96 YES
8 x 12 = 96 YES
Now we have two equations: 8 x 12 and 6 x 16
Perimeter of 40 means:
2(a+b) = 40
Lets input the two equations:
2(8+12) = 2 x 20 = 40
2(6+16) = 2 x 22 = 44
So the dimensions that works is 8 x 12
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The sales manager gathered information on the numbers of sales calls made and the number of copiers sold for a random sample of sales representative. Is there a positive correlation between calls made and copiers? Test at the 0.05 level of significance. Determine the 90% prediction interval for 60 number of calls made. *
Calls,X Sold. Y
20 40
20 50
40 60
50 90
40 80
20 40
40 60
30 60
Answer:
b
Step-by-step explanation:
Help and explain please.
Answer:
a2 + b2 = c24 + b2 = 49b = [tex] \sqrt{45} [/tex]Give the coordinates of point D.
A. (-2,-4)
B. (-4,2)
C. (-4,-2)
D. (4, -2)
A sewing class has 185 yards of fabric to make quilts. Each quilt requires 8 yards of fabric. How much fabric will remain after all the quilts are made?
A car travels at the rate of 60 miles per hour and averages 30 miles per gallon of gasoline. Which of the following is the best
approximation of the number of gallons of gasoline that will be used in 8 hours of traveling at 60 miles per hour?
0.06 gallons
16 gallons
3.75 gallons
7.5 gallons
480 gallons
If we attempt to create a square using the tiles that represent the algebraic expression x^2 +bx,
1. How many x-tiles would you add to the length of the x-square tile?
2. How many unit tiles would you need to complete the square?
I dont understand the question
What is the surface area of this square pyramid
18 ft
33ft
36 ft
57 ft
The surface area of this square pyramid is 33ft
Surface area of square based pyramidThe formula for calculating the surface area of the ssquare pyramid is expressed as:
TSA = Area of square + 4(area of triange)
TSA = (3*3) + 4(0.5 * 4 * 3)
TSA = 9 + 4(6)
TSA = 9 + 24
TSA = 33 square feet
Hence the surface area of this square pyramid is 33ft
Learn more on surface area of the pyramid here: https://brainly.com/question/16060915