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
Answers
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.
Learn more about Geometry click;
https://brainly.com/question/31408211
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Related Questions
Two of the sides of a triangle are 7 inches
and 8 inches. If the third side is a whole
number of inches, what is its greatest
possible measure?
Answers
Answer:
11 inches
Step-by-step explanation:
7^2+8^2=c^2
49+64=c^2
113=c^2
square root both side
c=10.63014581
round up and get c=11
hope this helped :)
Kata gets on a moving walkway at the airport. Then, 8 s after she gets on, she taps Lisa, who is standing alongside the walkway. The graph shows Kata's distance from Lisa over time. Calculate the rate of change in her distance from Lisa from 6 s to 8 s, and then from 8 s to 12 s. What do the rates of change mean in terms of Kata’s movement?
Answers
The average rate of change over each interval is given as follows:
6 s to 8 s: -1 ft/sec.8 s to 12 s: 2.5 ft/sec.The meaning of these rates is that Kata was behind Lisa, then met her after 8 seconds and started distancing herself.
How to obtain the average rate of change?The average rate of change of a function is given by the change in the output divided by the change in the input.
The numeric values for the function are given as follows:
d(6) = 2.d(8) = 0.d(12) = 10.Then the rates are calculated as follows:
6 s to 8 s: (0 - 2)/(8 - 6) = -1 ft/sec.8 s to 12 s: (10 - 0)/(12 - 8) = 2.5 ft/sec.Missing InformationThe graph is given by the image presented at the end of the answer.
More can be learned about the average rate of change of a function at brainly.com/question/11627203
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Why do you think there is a limit on the number of times you can withdraw or transfer money in your savings account?
Answers
Answer:
I think that there is a limit on the number of times you can withdraw or transfer money in your savings account because banks only maintain a small percentage of the money people deposit on the savings accounts and most of the money is used for loans and they need to limit that to be able to have enough reserves to cover the withdrawals. If they don't put a limit people can try to withdraw all the money at the same time and the bank would not have the funds to cover that.
At a middle school, 40% of seventh graders have taken
swimming lessons. If there are 250 studnets in the
seventh grade, how many of them have taken swimming
lessons?
Answers
Answer:
100 students.
Step-by-step explanation:
You multiply the whole times the percentage. i.e) 0.4x250 or 40% x 250.
Hollis goes outside at 2:00. He spends 48 minutes riding his bike and playing with his dog. What time is it now? Write the time in two ways.
Answers
Answer:
2:48
Step-by-step explanation:
48 minutes passed and he went outside at 2:00 im not sure what they mean by write it in 2 ways though
A tennis ball is launched from a catapult from the ground with an initial velocity of 26fps. What is the maximum height of the ball? When will it attain this height? Use H=-16T2+26T
Answers
Answer:
10.5618feet, 0.8125sec
Step-by-step explanation:
Given the height reached by the catapult expressed by the equation H=-16T^2+26T
At the maximum height, the velocity of the object is zero, hence;
v = dh/dt = 0
-32t + 26 = 0
-32t = -26
t = 26/32
t = 0.8125secs
Hence it will attain the maximum height after 0.8125second
Substitute t = 0.8125s into the expression to get the maximum height
H=-16t^2+26t
H = -16(0.8125)^2 + 26(0.8125)
H = -16(0.6602) + 21.125
H = -10.5632+21.125
H = 10.5618
hence the maximum height reached by the ball is 10.5618feet
A golf course has 18 holes. A guidebook provided to golfers includes useful information about each hole, as shown below. A 4-column table with 6 rows. Column 1 is labeled hole number with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled yards with entries 312, 530, 147, 350, 410, 185. Column 3 is labeled bunkers with entries 2, 5, 1, 0, 2, 1. Column 4 is labeled difficulty level with entries moderate, moderate, easy, moderate, hard, moderate. What are the individuals in this data set? holes yards bunkers difficulty levels
Answers
Answer:
Holes got it right :)
Step-by-step explanation:
Answer
difficulty levels
Step-by-step explanation:
took the test
sorry different question
A car travels 30 1/5 miles in 2/3 of an hour. Whwt is the average speed, in miles per hour, of the car
Answers
Answer:
45 3/10 mph
Step-by-step explanation:
30 1/5 /2 = 15 1/10
15 1/10 x 3 = 45 3/10 mph
Isaac received 125 for his birthday. He spent 65 on a new video game. How much money, x, how much does issac have
Answers
Answer: $60
Step-by-step explanation:
A package of sliced cheese weighs 2 1/4 pounds and costs $18. If 3 slices weigh a total of 2 ounces, how much do the 3 slices cost?
Answers
plz help me asap I need help 1k point
Answers
Answer:
y=27
Step-by-step explanation:
Hello There!
The shown angles are alternate exterior angles
Alternate exterior angles are congruent so
3y+53=7y-55
step 1 add 55 to each side
-55+55 cancels out
53+55=108
now we have
3y+108=7y
step 2 subtract 3y from each side
7y-3y=4y
now we have
4y=108
step 3 divide each side by 4
4/4y=y
108/4=27
we're left with y = 27
Answer:
y = 27
Step-by-step explanation:
The two lines cut by a transversal are parallel, so alternate exterior angles are congruent.
7y - 55 = 3y + 53
4y = 108
y = 27
PLEASE HELP DUE IN 30 MINUTES ILL GIVE You BRAINLY
Answers
Answer:
C
Step-by-step explanation:
Your answer is C this is just observation so no need for explanation
I NEED THIS ASAP
For what value of q is the equation - 13(9 + 4) = 79 + 16 true?
Answers
Answer:
False
Step-by-step explanation:
ok so
9 + 4 = 13
-13 * 13 = -169
79 + 16 = 95
-165 does not equal 95
Hope this helps!!
How many 1/5 cup servings are in 5 cups of cereal?
I need the answer ASAP!
I'll give brainliest!
Answers
Answer:
there are 25 1/5 cups
Step-by-step explanation:
25/5=5
hope this helps
Answer:
25 servings
Step-by-step explanation:
to fill one cup, 5 servings would have to be, um... served.
for 5 cups, it would have to be 5 cups in each of the 5 cups, so 5 * 5, which makes 25 servings
(p.s., pls mark me brainliest, and have a great day!)
The radius of a circle is 6 meters. What is the area of a sector bounded by a 150 arc
Answers
Answer:
47.14 m²
Step-by-step explanation:
Recall that the central angle of a full circle is 2π radians or 360°. The area of the sector bounded by a 150° arc is the fraction
150°
------- times the area of the full circle (πr²):
360°
(15/36)π(6m)² = 0.417(3.14)(36 m² = 47.14 m²
Use the long division method to find the result when 4x^3+18x^2+22x+54x 3 +18x 2 +22x+5 is divided by 2x+52x+5.
Answers
Answer:
2x² + 4x + 1
Step-by-step explanation:
Given the question :
4x^3+18x^2+22x+5 divided by 2x+ 5
Dividend = 4x^3+18x^2+22x+5
Divisor = 2x + 5
In other to ensure question is answered clearly and reasonably, the solution Using long division haa been worked out and attached as a picture
whats the mode of $6.00 $6.00 $6.00 $6.00 $5.00 $7.00 $4.00 $7.00
Answers
Answer:
4.00,5.00,6.00,6.00,6.00,6.00,7.00,7.00
Step-by-step explanation:
Mean 5.875
Median 6
Mode 6.00
A scale drawing has a scale of 2 cm = 15 m. If the length of something on the drawing is 12 cm, what is the actual length?
Answers
Answer: 90
Step-by-step explanation:
Answer:
90m
Step-by-step explanation:
you have to cross multiply.
1) multiply (12 * 15) and multiply 2 * X)
2) you get 180 = 2x
3) to get X alone divide 180 by 2 and you will get 90meters
Please I need help
I need the equation of the graph below
Answers
Answer:
0x 57=63
Step-by-step explanation:
Solve for x.parallelogram
Plz show steps so I can learn
Answers
Answer:
in a parallelogram .......the sum.of adjacent angles is 180
11x-10+80=180
11x=110
x=10
Tell whether each pair of angle measurements are complementary, supplementary or neither. 36°,24° 18°,72° 96°,84°
Answers
Given:
The pairs of angles are:
36°,24°
18°,72°
96°,84°
To find:
Whether each pair of angle measurements are complementary, supplementary or neither.
Solution:
Two angles are complementary if there sum is 90 degrees.
Two angles are supplementary if there sum is 180 degrees.
For 36° and 24°,
[tex]36^\circ+24^\circ =60^\circ[/tex]
So, this pair is neither complementary not supplementary.
For 18° and 72°,
[tex]18^\circ+72^\circ =90^\circ[/tex]
So, this pair is complementary.
For 96° and 84°,
[tex]96^\circ+84^\circ =180^\circ[/tex]
So, this pair is supplementary.
slove the evolution 10-i=3
Answers
Answer:
ans 7
Step-by-step explanation:
given
10_i=3
10_i_3=0
7=i
i=7
What value of x make the equation 24-(3x - 9)-6= -2(4x - 10+ 5x + 7 true?
Answers
Answer:
x = 0
Step-by-step explanation:
24 - (3x - 9) - 6 = -2(4x - 10) + 5x + 7
solve the brackets by using the distribute property:
1(3x - 9) = 3x - 9
-2(2x - 10) = -8x + 20
rewrite the equation:
24 - 3x - 9 - 6 = -8x + 20 + 5x + 7
combine like therms:
27 - 3x = -3x + 27
subtract 27 from both sides:
27 - 3x - 27 = -3x + 27 - 27
- 3x = -3x
add x to both sides of the equation:
-3x + 3x = -3x + 3x
x = x or 0 = 0
to check, substitute 0 for x
24 - (3(0) - 9) - 6 = -2(4(0) - 10) + 5(0) + 7
anything times 0 is 0
24 - (0 - 9) - 6 = -2(0 - 10) + 0 + 7
solve:
24 + 9 - 6 = 0 + 20 + 0 + 7
27 = 27
Find the area. The figure is not drawn to scale.
Answers
Answer:
A = 1/2 (13) ( 9 +9)
A = 1/2 (13) (18)
A = 117
The opposite sides of a parallelogram are _____?
Answers
Answer:
parallel
Step-by-step explanation:
Answer:
A parallelogram is a quadrilateral
Her why:
whose opposite sides are parallel. The opposite angles of a parallelogram are equal. The opposite sides of a parallelogram are equal.
Alexa and her friends went out for pizza to celebrate the softball team’s victory. Their total bill for the pizza and drinks was $32.50. If they left a 20% tip for their server, how much tip did they leave?
How do I solve this problem?
Answers
Answer:
$39
Step-by-step explanation:
32.50:100 × 20 = $6.50
32.50+6.50 = $39
Trigonometry math, help needed!!!
Find Q, R, and S. I think R is 123. I have provided a picture. Please put the right answer I would appreciate it.
Answers
Answer:
Step-by-step explanation:
6x-18=51 solve for x
Answers
6x=51+18
6x=69
divide both sides by 6
6x divide by 6 and 69 divide by 6
x=11.5
Answer:
11.5
Step-by-step explanation:
add 18 to both sides
divide by 6
What is the equation of the line that passes through the points (15,9) and (-2, 9)?
Oy - 9
11
Oy ----x+ 9
Oy=-17
Oy - 6x + 11
Answers
Answer:
c
Step-by-step explanation:
I NEED HELP ASAP PLS DONT GIVE RANDOM ANSWERS OR LINK I WILL GIVE YOU BRAINLIEST......... thanks :)
Answers
Answer:
D
Step-by-step explanation:
The volume (V) of a cone is calculated as
V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the height )
Here V = 226 and r = 12 ÷ 2 = 6 , then
[tex]\frac{1}{3}[/tex]π × 6²h = 226 ( multiply both sides by 3 to clear the fraction )
3.14 × 36h = 678
113.04h = 678 ( divide both sides by 113.04 )
h = [tex]\frac{678}{113.04}[/tex] ≈ 6 m ( to the nearest metre )
