In trapezoid MNPQ shown below, MN QP,. 108 m M. ∠ = ,. 4 15 m P x. ∠ = - , and. 3 21 m Q x. ∠ = + . Explain why m N. ∠ must be 127
Answers
Answer:
The answer is below
Step-by-step explanation:
A trapezoid is a quadrilateral (has four sides and four angles) with a pair of opposite parallel sides. The pair of opposite parallel side is known as the base. Also, the angles on the same leg of a trapezoid (adjacent angles) are supplementary (add up to 180°).
In trapezoid MNPQ:
∠M + ∠Q = 180° (angles on the same leg are supplementary)
108 + (3x + 21) = 180
3x + 129 = 180
3x = 51
x = 17
Also:
∠N + ∠P = 180° (angles on the same leg are supplementary)
∠N + (4x - 15) = 180
∠N = 180 - (4x - 15)
∠N = 180 - 4x + 15
∠N = 195 - 4x
substitute x = 17°:
∠N = 195 - 4(17)
∠N = 127°
Related Questions
Solve this system using the substitution method.
2x + 2y = 14
y = 3x - 5
x=
y=
Answers
Answer:
The solution is:
x=3
y=4
Step-by-step explanation:
We need to solve this system using the substitution method.
2x + 2y = 14
y = 3x - 5
Substitution method involves placing value of x or y from one equation to other equation.
We have:
[tex]2x + 2y = 14--eq(1)\\y = 3x-5 --eq(2)[/tex]
We will put value of y from equation 2 into equation 1.
[tex]2x + 2y = 14\\Put\:y = 3x - 5\\2x+2(3x-5)=14\\2x+6x-10=14\\8x=14+10\\8x=24\\x=\frac{24}{8}\\x=3[/tex]
So, we get x =3
Now, put value of x in equation 2 to find value of y
[tex]y = 3x - 5\\Put\:x=3\\y=3(3)-5\\y=9-5\\y=4[/tex]
So, we have y = 4
The solution is:
x=3
y=4
A carpenter cut a 6 1/2 -ft board into
1 1/4-ft sections. What is the number of sections he cut?
Answers
Answer:
5 pieces
Step-by-step explanation:
Translate the sentence into an equation The sum of 5 times a number and 7 is 3
Use the variable b for the unknown number
HELPPPPPP
Answers
Answer:
Equation: 5b + 7 = 3
Step-by-step explanation:
Unknown number = b
5 times of number = 5b
Sum of 5b and 7 = 5b + 7
Equation;
5b + 7 = 3
*WILL MARK BRAINLIEST* 15 POINTS
Match each word to its correct definition:
Answers
Answer:
2
3
1
4
Step-by-step explanation:
Angles that add up to 90 are Complementary angles.
Two angles that have a common vertex and a common side but do not overlap are Adjacent angles.
Angles that are opposite each other and have the same measurment are vertical angles.
Angles that add up to 180 are Supplementary angles.
Hope this helps!! :D
Complementary angles- angles add up to 90
Adjacent -two angles that have a common vertex
Vertical- angles that are opposite of each other
Which multiple of 7 is greater than 45 and less than 50?
Answers
Answer:
49
Step-by-step explanation:
Answer
the answer is 49
Pls help I need help
Hehhehrhrh
Answers
Answer:
C) 11.4
Step-by-step explanation:
estimate 70 divided 30
Answers
Answer:
1.4 estimate: 1
Step-by-step explanation:
A rectangle measures 6 inches by 15 inches. If each dimension of the rectangle is dilated by a scale factor of 1/3 to create a new rectangle
Answers
what is the radius if the circumference is 1.0
Answers
Answer:
r = 0.16
Step-by-step explanation:
C = 2·π·r
1 = 2·π·r
1/2 = π·r
0.5 = π·r
0.5 / 3.14 = r
0.16 = r
what are the four next multiples of 1/9
Answers
Answer:
just doubling the numerator just like ,1/9, 2/9 keep going
Step-by-step explanation:
Answer:
1/9 2/9 3/9 just keep going
pls help due asap
:..
Answers
Answer:
a
Step-by-step explanation:
Find the area of the parallelogram.
Answers
Answer:
12
Step-by-step explanation:
12 is the area
Since,
6×2=12
PLEASE HELP!!! WILL MARK BRAINLIEST!!!
Name each transformation correctly as a Translation, Dilation, or Reflection.
WILL MARK BRAINLIEST IF CORRECT!!!!!!
Answers
Answer:
Translation
7, 18, 19, 20Dilation
9, 10, 17Reflection
7, 8 , note 7 has both reflection and translationOrder the following set of numbers in ascending order (least to greatest): 2.007; 2.714; 2.09; 2.741; 2.07
Answers
Answer:
2.007;2.07;2.09;2.714;2.741
Step-by-step explanation:
2.007 is the least and 2.741 is the greatest
Answer: 2.007, 2.07, 2.09, 2.714, 2.741
Step-by-step explanation:
Line segment AB has endpoints A(2, -3) and B(-4, 6). What are the coordinates of the midpoint of AB?
Answers
ASAP!!!
Is the relation in the table below a function?
Answers
Answer:
No
Step-by-step explanation:
A relation is a function if every x-value has exactly one y-value.
Because the x-value 1 has two y-values (-3 and 3), the relation is not a function.
Plotting (1, -3) and (1, 3) will produce a vertical line that intersects the function at two points.
Therefore, the relation is not a function.
Hope that helps.
2x-10+x-6=2
combing like terms..
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Which table represents a linear function?
Answers
Answer:
top right
Step-by-step explanation:
Given: RST, RS = 15, ST = 20, and TR = 29
Which inequality correctly compares the measures of the angles of RST?
Answers
Answer:
can i see a picture?
Melanie has a bag that contains orange chews, cherry chews, and peach chews. She performs an experiment. Melanie randomly removes a chew from the bag, records the result, and returns the chew to the bag. Melanie performs the experiment 61 times. The results are shown below: A orange chew was selected 38 times. A cherry chew was selected 5 times. A peach chew was selected 18 times. Based on these results, express the probability that the next chew Melanie removes from the bag will be peach chew as a decimal to the nearest hundredth.
Answers
Answer:
0.30
Step-by-step explanation:
Given that:
Total number of trials = 61
Number of orange chews = 38
Number of cherry chews = 5
Number of peach chews = 18
Probability that next chew removed will be a peach chew ;
This is an experimental probability problem ;
Using the relation :
Experimental probability of A;
Number of successes (A) / total number of trials
Hence, Probability that next chew removed will be a peach chew ;
Experimental probability of peach chew :
Number of trails = 61 ; number of successes (peach chew) = 18
P(peach chew) = 18 / 61
P( peach chew) = 0.2950819
= 0.30 ( nearest hundredth)
Please please please help!! I need this URGENT
Dan buys a car for £2700.
It depreciates at a rate of 1.4% per year.
How much will it be worth in 5 years?
Give your answer to the nearest penny where appropriate.
Answers
Answer:
So it depreciates at a rate of 1.4% so 25% a year and you do £2700 multiply by 25 each year £2700 multiply by 25 x 5 = £540 in 5 years
Step-by-step explanation:
Answer:
£
2516.22
Step-by-step explanation:
£
2516.22
answer these questions if ur smart
Answers
So 3x2= 6
6x 3.14(Pi)
=18.84 which a full circle and now divide by two
9.42 is the area of semi circle
Answer:ayyyy more free points
Step-by-step explanation: so i can ask questions
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The library is having a book sale. Hardcover books sell for $4 each, and paperback books are $2 each. If Ayanna spends $26 for 8 books, how many hardcover books did she buy?
Answers
Answer: 6
Step-by-step explanation: I divided $26 by $4
Answer: I don't really know how to explain, but I will give you the straight up answer
5 HARDCOVER BOOKS (would total up to $20)
3 paperback books (would total up to $6)
Step-by-step explanation:
What is the value of y
Answers
Marc is planning a holiday for 4 people for 7 days.
Here are the costs for the holiday for each person.
Travel
£250
Hotel
£50 for each day
Spending money £350
Work out the total cost of the holiday for 4 people for 7 days.
Answers
Answer:
£3,800
Step-by-step explanation:
The computation of the total cost is shown below;
Each person cost is
Travel cost £250 (assume for 7 days)
Hotel cost £50 × 7 days = £350
Spending money £350 (assume for 7 days)
Cost for each person is £950
Since there are four persons, so the total cost would be
= £950 × 4 peoples
= £3,800
PLEASE, PLEASE HELP D:
write the linear equation given :
1. slope = 1/4; y-intercept =7
2. slope = -3; y-intercept = 2/3
3. slope = 2/3; y-intercept = 2/3
4. slope = -2; y-intercept = -1/2
5. slope = -3/4; y-intercept = -3
Answers
Answer:
1. y =1/4x + 7
2.y =-3x + 2/3
3. y =2/3x + 2/3
4.y =-2x - 1/2
5.y =-3/4x -3
Step-by-step explanation:
By using the slope- intercept form of the equation, y=mx + b, where m=slope and b=y-intercept, you can substitute the values of slope and the y-intercepts into the formula y=mx + b
Question 3(Multiple Choice Worth 1 points)
(05.04 MC)
The data to represent average test scores for a class of 16 students includes an outlier value of 78. If the outlier is included, then the mean is 84. Which statement is always true about the new data when the outlier is removed?
The mean would decrease.
The mean would increase.
The median would decrease.
The median would increase.
Answers
Answer:
The mean would increase
Step-by-step explanation:
The mean would increase
78 is lower than the mean so if you take out a value that's lower than the mean it would obviously increase
3.
Susan has a balance of $110 in her school lunch account, and she spends $6 per day for
lunch. Her sister Evelyn has $83 in her lunch account, and she spends $4 per day for lunch. In
how many days will Susan's lunch account balance be less than Evelyn's?
Answers
Answer:
i may be entirely wrong but evelyn has more days
susan=18
evelyn=20.75 or 21 if rounded
A fish is 12 Meters below the surface of the ocean. what is it's evelation
Answers
Because of prevailing winds, a tree grew so that it was leaning 6º from the vertical. At a point d = 37 meters from the tree, the angle of elevation to the top of the trees
is a = 29° (see figure). Find the height h of the tree. (Round your answer to one decimal place.)
h =
m
d m
Additional Materials
eBook
Answers
Answer:
Height of the tree is 40.0 meters.
Step-by-step explanation:
From ΔABC,
m∠ABC = 90°
Since, m∠ABC = m∠CBD + m∠ABD
90° = 6° + m∠ABD
m∠ABD = 90°- 6° = 84°
By triangle sum theorem in ΔABD,
m∠ABD + m∠BDA + m∠DAB = 180°
84° + 29° + m∠BDA = 180°
m∠BDA = 180° - 113°
= 67°
By sine rule in ΔABD,
[tex]\frac{\text{sin}(\angle BDA)}{d}= \frac{\text{sin}(\angle ABD)}{h}[/tex]
[tex]\frac{\text{sin}(67)}{37}= \frac{\text{sin}(84)}{h}[/tex]
h = [tex]\frac{\text{sin}(84)\times 37}{\text{sin}(67)}[/tex]
h = 39.98
h ≈ 40.0 meters
Therefore, height of the tree is 40.0 meters.
The sine rule is the ratio of the side length to the sine of the opposite angles. Then the height of the tree is 40 meters.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a triangle.
Because of prevailing winds, a tree grew so that it was leaning 6º from the vertical.
At a point d = 37 meters from the tree, the angle of elevation to the top of the trees is a = 29° (see figure).
∠ABC = 90
We have
In ΔABC
∠ABC = ∠CBD + ∠ABD
∠ABD = 90 - 6
∠ABD = 84
By triangle sum in ΔABD, we have
∠ABD + ∠BDA + ∠DAB = 180
∠BDA = 180 - 84 - 29
∠BDA = 67
Then by the sine rule, we have
[tex]\begin{aligned} \dfrac{\sin \angle BDA}{d} &= \dfrac{ \sin \angle ABD }{h}\\\\\dfrac{\sin 67}{37} &= \dfrac{\sin 84}{h}\\\\h &= \dfrac{\sin 84} \times 37{\sin 67}\\\\h &= 39.98 \approx 40 \end{aligned}[/tex]
More about the trigonometry link is given below.
https://brainly.com/question/22698523
