The diagram shows quadrilateral MNPQ.
Quadrilateral M N P Q is shown. Sides N P and M Q are parallel. Angles P and Q are right angles. The length of M N is 10, the length of N P is 3, and the length of P Q is 6.
What is the length of line segment MQ?
8 units
10 units
11 units
15 units
Answer:
The answer is 11 units
Step-by-step explanation:
I just took the test, plus if you were to lay the side MN down to next to MQ, it would be similar but, a little be shorter. Also if you were to think of it, 8 units would be too short and 15 units would be too long, 10 units would of made MQ look the same length as MN, but MQ was longer just by a bit. Thus, makes 11 units the answer.
Hopes this helps!
For the given quadrilateral MNPQ, the length of MQ is 11 units.
Therefore, the option C is the correct answer.
Given that a quadrilateral MNPQ, with sides NP and MQ are parallel, ∠P = ∠Q = 90°, MN = 10, NP = 3 and PQ = 6.
We need to find the length of side MQ,
MQ = MR + RQ............(i) [segment addition property]
To find MR and RQ, we will have to do a construction in the figure given,
(Refer to the diagram attached)
Join the segment NR, that will be equal and parallel to PQ and perpendicular to MQ.
So, we get NPQR as a rectangle, according to the property of a rectangle its opposite sides are equal,
So, we get,
QR = 3 and NR = 6.
Also, we have a right triangle MNR, where MN is the hypotenuse,
Using the Pythagoras theorem, we can find the length of MR,
MR² = MN² - NR²
MR = √(10² - 6²)
MR = √(100 - 36)
MR = √64
MR = 8
Putting the values of MR and QR in equation (i), we get,
MQ = MR + RQ
MQ = 8 + 3
MQ = 11
Hence the length of MQ is 11 units.
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A study showed that the ratio of the number of people who get their news from social media to the number of people who their news from other sources is 3 to 7. Based on the ratio, how many people in a town of 900 people get their news from social media?
Answer: 270 people
Step-by-step explanation:
The ratio of the number of people who get their news from social media to the number of people who their news from other sources is 3 to 7.
This shows that the number of people who get their news from social media is 3 out of 10 i.e (3+7).
Therefore, the number of people in a town of 900 people that get their news from social media will be:
= 3/10 × 900
= 270 people.
Answer:
is it right
Step-by-step explanation:
A furniture store pays a wholesale price for a mattress.
Then, the store marks up the retail price to 150% of the
wholesale price. Later, they put the mattress on sale for
50% off of the retail price. A customer just bought the
mattress on sale and paid $1,200.
a. What was the retail price of the mattress, before the
discount?
Answer:
Step-by-step explanation:
Part A:
Given that the mattress is sold for 50% off of the retail price, let the retail price of the mattress be x, then
50% of x = 1200
⇒ 0.5x = 1200
⇒ x = 1200 / 0.5 = 2400
Therefore, the retail price of the mattress, before the discount is $2,400.
Part B:
Given that the store marks up the retail price to 150% of the wholesale price. Let the whole sale price be p, then
(100% + 150%) of p = 2400
250% of p = 2400
2.5p = 2400
p = 2400 / 2.5 = 960.
Therefore, the wholesale price, before the markup was $960
If 18 g of air has 48 J of heat added to it, what will be the change temperature? (C = 0.25 J/g x°C)
Explanation is in the file
tinyurl.com/wpazsebu
PLZZ HELP find area of square KLMN?
Hello! The area of square KLMN is 25 cm²
Make sure to read an explanation for better understanding to the problem.
Any questions about my answer and explanation can be asked through comments.
Step-by-step explanation:
Since the square has same length for both sides. We can proceed side × side formula. Our side is 5 because if we count these small squares or grids, we'd get 5 for both sides.
Therefore 5 × 5 = 5² = 25 cm².
We can also use Calculus to solve the problem by using Integration.
Because both lines are horizontal, they are constant function. That means they are in the form of y = b where b is a constant.
A line that passes through (a,4) where a is all real numbers. The equation is y = 4
A line that passes through (c,-1) where c is all real numbers. The equation is y = -1
Therefore,
[tex] \large{ \int^{b}_a f(x) dx+ \int^{b}_a g(x)dx} \\ \large{ \int^{2}_{ - 3} (4)dx+ \int^{2}_{ - 3} ( - 1)dx}[/tex]
Because y = -1 is below x-axis. Therefore,
[tex] \large{ \int^{2}_{ - 3} 4 dx+ \int^{2}_{ - 3} 1dx} \\ \large{ (4x)^{2}_{ - 3} + (x)^{2}_{ - 3} } \\ \large{8 - ( - 12) + 2 - ( - 3)} \\ \large{8 + 12 + 2 + 3 = 25}[/tex]
can you please help me
Answer:
1. (x-2)(x-15)
2 (3x-4)(x+2)
3. cannot factor
Step-by-step explanation:
math papa greatest website for math equations.
They are 267 kids and 21 adults going on a field trip an equal number of people ride on each bus if there are 9 buses how many people will ride on each bus write and solve equations
32 people on each bus.
30 kids and 2 adults on each bus
Find the value of x.
Answer:
6
Step-by-step explanation:
The two small triangles are congruent by SAS.
By CPCTC, x = 6.
Answer: 6
Help!!! State whether you agree with each of the following statements.
1. A temperature of 35 degrees Fahrenheit is as cold as a temperature of
-35 degrees Fahrenheit.
Agree
Disagree
Answer:
Step-by-step explanation:
Not true. A temperature of 35 degrees is 70 degrees higher than -35 degrees Fahrenheit.
Anyone Knows algebra??? the answer choices are “ A: 1 and 2
B: 3 and 6
C: 1 and 4
D: 1 and 5”
Answer:
B(3 and 6)
Step-by-step explanation:
Uhm, this isnt algebra, this are basic geometry rules, 3 and 6 are alternate angles
Select all expressions equivalent to 9(2x - 5)
(select 2 btw)
18x - 5
3(6x - 5)
18x - 45
3(6x- 15)
Yohanne and Mikaela completed a 1-km race. Yohanne finished the race 1 minute after Mikaela. If the speed of Mikaela is 50 meters per minute faster than Yohanne's speed, how many minutes did it take Yohanne to finish the race?
Answer: 5 min
Step-by-step explanation:
Given
Length of the race track [tex]l=1\ km\ or\ 1000\ m[/tex]
Suppose the speed of Yohanne is [tex]v_y=x\ m/min.[/tex]
then Mikaela speed is [tex]v_m=50+x[/tex]
the difference in the finishing time is 1 minute i.e.
[tex]\Rightarrow \dfrac{1000}{x}-\dfrac{1000}{50+x}=1\\\\\Rightarrow \dfrac{50+x-x}{x(50+x)}=\dfrac{1}{1000}\\\\\Rightarrow \dfrac{50}{x(50+x)}=\dfrac{1}{1000}\\\\\Rightarrow x^2+50x-50,000=0\\\\\Rightarrow x^2+250x-200x-50,000=0\\\\\Rightarrow (x+250)(x-200)=0\\\\\Rightarrow x=200\ m/min.[/tex]
Time taken by Yohanne is
[tex]\Rightarrow t=\frac{1000}{200}=5\ min[/tex]
Plsplspls help 22 points and brainly ONLY ANSWER IF YK THE ANSWER TY!! :)
Answer:
(Infinitely), (No solution), (One solution), (One solution)
Step-by-step explanation:
1. 5x + 9 = 9 + 5x (Infinitely)
2. -4x + 8 = -4x - 8 [minus -4x from both equation, we get 8 = -8, which is impossible] (No solution)
3. x - 3 = 3 - x [2x = 6, x = 3] (One solution)
4. 3x + 7 = 7x + 3 [4x = 4, x = 1] (One solution)
Bárbara come la tercera parte de una caja de bombones. Su papá luego compra 7 bombones más y los pone en la caja. ¿Cómo se representa la cantidad de bombones que hay ahora en la caja?
Answer:
Bárbara come la tercera parte de una caja de bombones. Su papá luego compra 7 bombones más y los pone en la caja. ¿Cómo se representa la cantidad de bombones que hay ahora en la caja?
Step-by-step explanation:
What is the range for the following set of data?
2, 5, 7, 8, 11, 11, 12
a. 8
b. 9
c. 11
d. 10
Answer:
The answer would be D 10
Step-by-step explanation:
Which expression matches this algebraic expression after using Distributive
property a(b+cq - bd).
abcq - abd
ab+ acq - abd
ab + acq -bd
ab + cq -bd
A pair of jeans and a T-shirt cost $50. If two such T-shirts cost $1 more than the pair of jeans, find the cost of the pair of jeans.
(I need the answer ASAP)
Sea f(x) = 5x + 3 entonces f(6) = ?
Answer:
f(6)=33
Step-by-step explanation:
f(6)=5(6)+3
f(6)=30+3
f(6)=33
The rectangle below has an area of 70 square meters. Find the dimensions of the rectangle. (x - 11) (x - 8)
Answer:
the dimensions of the rectangle are 10 and 7.
Step-by-step explanation:
Given;
area of the rectangle, A = 70 m²
dimensions of the rectangle, = x - 11 and x - 8
The area of rectangle is calculated as;
A = L x B
70 = (x - 11)(x - 8)
70 = x² - 8x - 11x + 88
0 = x² - 8x - 11x + 88 - 70
0 = x² - 19x + 18
0 = x² - x - 18x + 18
0 = x(x - 1) -18(x - 1)
0 = (x - 18)(x - 1)
0 = x - 18 or
0 = x - 1
x = 18 or 1
The dimensions of the rectangle are calculated as;
L = 18 - 11 = 7
B = 18 - 8 = 10
Therefore, the dimensions of the rectangle are 10 and 7.
Please help and tell me how u got it
Answer:
(5, 27)
Step-by-step explanation:
-3(x^2 - 10x + 16) [Expand the equation using the FOIL method]
-3(x^2 - 10x) - 48 [Move the 16 outside of the parenthesis (16 * - 3 = -48]
-3(x^2 - 10x + 25) +75 - 48 [Complete the square]
-3(x-5)^2 + 27 [Simplify. The equation is now in vertex form.]
I need help with this plzzz theres also a part 2 b
Step-by-step explanation:
Because the line doesn't start at 0 (right at the bottom) and that shows that it is not directly proportional to x.
Hope it helped.
What is the slope for (-2,1) and (7,1)
Answer:
m=0
Step-by-step explanation:
the slope (m) can be calculated from two points with the formula (y2-y1)/(x2-x1)
we are given the points (-2,1) and (7,1)
label the points:
x1=-2
y1=1
x2=7
y2=1
now substitute into the equation
m=(1-1)/(7--2)
m=0/9
m=0
the slope of the line is 0
Hope this helps!
Ivy bought a new pair of basketball shoes that were on sale for 25% off. If
the regular price of the shoes was $75.95, what is the amount of discount?
SELECT ALL THAT APPLY!!!///// answer ASAP pls
Answer: Its the first and third one.
Step-by-step explanation: Lol nope
3x² - 12x + 8 when x = -2.
Answer:
Use photo math, it will explain literally all the steps
A circle has diameter 8. What's the area?
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 50.27
Explanation:
r=radius
Diameter/2 = radius
The formula is 3.14r^2
3.14(4)^2
50.27 is final answer
I hope this helped!
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- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
50.27
Step-by-step explanation:
A= π r^2
The radius is equal to half of the diameter.Which in this case would be 4 since your diameter is 8.
A = π * 4 ^2
A = 50.27
What scale factor was used in the dilation of ABC to FED?
Answer:
SF= 2
Step-by-step explanation:
Side AB had the legnth of 4
the congruent side of EF has a length of 8
therefore the original shape doubled in size
(4x2=8)
A pyramid with an equilateral-triangle base has a volume of 48sqrt{3} cm3 and a height of 16 cm. Find the length of each side of the equilateral triangle.
You get brainliest, i need answers fast.
Answer: https://brainly.com/question/22661875?answering=true&answeringSource=feedPublic%2FhomePage%2F10
Step-by-step explanation: hope tis helps
This histogram shows the number of shoppers in various age groups at a clothing store.
How many shoppers are at least 20 years old?
a. 7 shoppers
b. 12 shoppers
c. 13 shoppers
d. 18 shoppers
(IF ITS NOT CLEAR SWITCH PICRTURES)
(PLEASE HELP)
I’m sure it’s 7 sorry if I’m wrong
Answer:
sorry im late but 12
Step-by-step explanation:
Enter the value of P so that the expression 3 (4 + n) is equivalent to 3 (n+p).
Answer:
3 (4+n)=0
3×4+3×n=0
12+3n=0.... equation 1
3 (n+p)
3×n+3×p=0
3n+3p=0........... equation 2
eq 1 multiply 3 eq 2 multiply 3
36+9n=0
9n+9p=0
_ _ =0
_9n is +9n Crush
36+9p=0
p=36÷9
p=4
p is 4 ans