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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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
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?
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:
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)
Start at 4 3/4 and count on steps of 1/4. If 4 3/4 is the first number in the sequence write down the 3rd number and the 6th number and the 9th number
Answer:
5 1/4 ; 6 ; 6 3/4
Step-by-step explanation:
Using the nth term of an arithmetic progression relation.
an = a + (n - 1)d
First term, a = 4 3/4
Common difference, d = 1/4
3 rd term ; n = 3
a3 = 4 3/4 + (3 - 1)1/4
a3 = 4 3/4 + 2*1/4
a3 = 4 3/4 + 1/2
a3 = 5 1/4
6th term ; n = 6
a6 = 4 3/4 + (6 - 1)1/4
a6 = 4 3/4 + 5*1/4
a6 = 4 3/4 + 5/4
a6 = 6
9 th term ; n = 3
a9 = 4 3/4 + (9 - 1)1/4
a9 = 4 3/4 + 8*1/4
a9 = 4 3/4 + 2
a9 = 6 3/4
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
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
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!
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]
Help me pls asp I will give 100 points
The cone and cylinder above have the same radius and height. The volume of the cylinder is 48 cm3. What is the volume of the cone?
A.
24 cm3
B.
16 cm3
C.
96 cm3
D.
144 cm3
Answer:
Option B (16 cm³)
Step-by-step explanation:
GIVEN :-
Both cone and cylinder have same radius and height.Volume of cylinder = 48 cm³TO FIND :-
Volume of coneFACTS TO KNOW BEFORE SOLVING :-
Volume of a cylinder having radius 'r' and height 'h' is [tex]\pi r^{2} h[/tex]Volume of a cone having radius 'r' and height 'h' is [tex]\frac{1}{3} \pi r^{2} h[/tex]Hence ,
Volume of cylinder = Thrice the volume of cone
[OR]
Volume of cone = One third of volume of cylinder
PROCEDURE :-
Volume of cone = [tex]\frac{1}{3} (Volume \: of \: cylinder) = \frac{48}{3} = 16cm^3[/tex]
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
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.
3x² - 12x + 8 when x = -2.
Answer:
Use photo math, it will explain literally all the steps
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
D
Step-by-step explanation:
Hello There!
N = Nickels and D = Dimes
The total amount of nickels and dimes is 27
so d + n = 27
or d = 27 - n
or n = 27 - d
It says that the amount of nickels she has is 3 times the amount of dimes minus 1
so
n = 3d - 1
so looking at the information above we can conclude that the answer is D
Answer:
d
Step-by-step explanation:
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]
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
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.]
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)
Given: cos θ = 5/13 where 0 ≤ θ < 90
Find tan 2θ
Answer:
Given: cos θ = 5/13 where 0 ≤ θ < 90
Find tan 2θ
Step-by-step explanation:
Raymond needs to cover the entire surface area of the square based pyramid with paper what is the minimum amount of paper he will need
Answer: 408 sq ft
Step-by-step explanation: You would need to use the surface area formula SA = 1/2LP + B. Note that L is the slant height, P is the perimeter of the base, and B is the area of the base. 11 is the slant height as shown in the image above, p is 48 since you add 12 + 12 + 12 + 12, and the area of the square will be 144 since 12*12 = 144. Once you substitute the numbers in their correct place, you should get SA = 1/2 (11)(48)+144 which gives you 408 sq ft. Hope this helps!
Answer:408 did this right on k12
Step-by-step explanation:
Which is the correct order for the side lengths from shortest to longest?
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
Total surface area??
Answer:
total area = 207 cm²
Step-by-step explanation:
base area = 9 x 9 = 81
side area = 1/2(9)(7) = 31.5 x 4 (for 4 sides) = 126
81 + 126 = 207 cm²
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
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.
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:
SELECT ALL THAT APPLY!!!///// answer ASAP pls
Answer: Its the first and third one.
Step-by-step explanation: Lol nope
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.