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
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°
Please help due ASAP
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Help im behind my math class. pls
Answer:
Please check the explanation.
Step-by-step explanation:
From the given diagram, we can observe that r and s are the two parallel lines intersected by the two transversal lines.
Therefore, the pairs of alternating interior angles formed by the two transversal lines are:
∠1 & ∠5 ∠2 & ∠4∠2 & ∠7 ∠3 & ∠6We know that alternating interior angles formed by a transversal line are congruent.
Thus,
∠1 = ∠5 ∠2 = ∠4∠2 = ∠7 ∠3 = ∠6Part a)
Given
m∠1 = 3x + 42
m∠5 = 8x - 8
As
∠1 = ∠5
So
3x + 42 = 8x - 8
flipe the equation
8x - 8 = 3x + 42
subtract 3x from both sides
8x - 8 - 3x = 3x + 42 - 3x
5x - 8 = 42
add 8 to both sides
5x - 8 + 8 = 42 + 8
5x = 50
divide both sides by 5
5x/5 = 50/5
x = 10.0000 (Rounded to four decimal places)
Thus, the value of x = 10.0000 (Rounded to four decimal places)
Part b)
Given
m∠6 = 12°
It is clear that angles ∠6 and angle ∠7 lie on a straight line.
Thus,
The sum of ∠6 and ∠7 is 180°.
∠6 + ∠7 = 180°
substituting m ∠ 6 = 12° in ∠6 + ∠7 = 180°
12° + ∠7 = 180°
subtract 12 from both sides
12° + ∠7 - 12° = 180° - 12°
∠7 = 168°
Thus, measure of angle ∠7 = 168°.
We already know that alternating interior angles formed by a transversal line are congruent.
∠7 and ∠2 are alternating interior angles.
Thus,
∠2 = ∠7
As ∠7 = 168°.
Therefore,
∠2 = 168°
Hence, we conclude that
∠2 = 168°
Directions: Solve for x. Round your answer to the nearest tenth.
12
14
Answer:
Show us the equation
Step-by-step explanation:
Could you put a screenshot of it
Answer:
may i see the picture?lol
Step-by-step explanation:
If y ∝ [tex]\frac{1}{x}[/tex] and y = 4 when x = 2.5, find :
(a) y when x = 20
(b) x when y = 5
Answer:
Step-by-step explanation:
Y = k1/x
4 = k 1/2.5
2.5 x 4 = k
10 = k
Now using this equation we will find the other answers
A) find y when x = 20
Y = k 1/x
Putting values
= 10(1/20) = 1/2 = 0.5
B) find x when y = 5
Y = k 1/x
Putting values
5 = 10 1/x
5x = 10
x = 10/5 = 2
Please help me solve this
* A car is 15 ft long. A model of the car has a scale of 1 in: 2 ft. How long is the model? Round to the nearest tenth, if necessary. Numerical answer only.*
Answer:
7.5 in
Step-by-step explanation:
please help!!!!! Need solvingg
Answer:
A, 22
Step-by-step explanation:
DOF-DOE=EOF
50-28=22 degrees
Answer:
A=22
Step-by-step explanation:
∠DOF=∠DOE+∠EOF
so ∠EOF=∠DOF-∠DOE=50°-28°=22°
The hanger image below represents a balanced equation.
60
U
Find the value of u that makes the equation true.
Answer:
12
Step-by-step explanation:
Essentially, 60 and the 5 us must be equal:
60=5u
Divide both sides by 5 to solve for u but keep the equation balanced.
12=u
Answer:
the answer is 12
PLEASE HELPPPP WILL MARK BRAINLYIST
What is the value of x
JELP HURRY !!!!!!!!!
You should be able to set up a proportion between the sides something like (18+x)/x=(56+21)/56
Please help please
It due asap
Answer:
D) About 40 miles
Step-by-step explanation:
Using the Pythagorean theorem, you caculate c=√ a^2 + b^2
Oceanfront to Landview is 5(5) units = 25
Landview to Seaside is 6(5) units = 30
25^2 = 625
30^2 = 900
√625 + 900 = 39.0512....
Basically it’s 40 miles
Answer:
The answer is D, about 40 miles.
Step-by-step explanation:
Use the pythagorean theorem.
Distance between Seaside & Landview: 6
Distance between Landview & Oceanfront: 5
6^2 times 5^2 = [tex]\sqrt{61}[/tex]
[tex]\sqrt{61}[/tex] times 5 = 39.05124838
39.05124838 ≈ 40
Sorry I took so long. I hope this helps!
2 (x+5) = }(x - 4) ?
Answer:
X = -14
All you have to do is type in 2(x+5)=(x-4) in to a algebra calculator and you will get -14
answer these questions if ur smart
Answer:ayyyy more free points
Step-by-step explanation: so i can ask questions
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Withat are the missing length(s) of the sides of the triangle labeled 'a' and ‘b’.
24:50 as a simplified fraction
Answer:
12/25
Step-by-step explanation:
24/50 =12/25
÷2
Answer:
12/25 is the lowest terms it can be simplified
Find the least common denominator of the fractions. 4/7 and 2/3 A. 21 B. 7 C. 3 D. 10
Answer:
4/7 has least common denominator
= 0.5( approx.)
Answer:
21 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Which function describes this table of values? х у 10 8 5 4 0 0 -5 -4 y = 2 y= y = x - 2 y=-3
Answer:
y=4/5x
Step-by-step explanation:
If you multiply the x value of 10, substitute it into the equation. Using the equation y=4/5x, you will get the y value of 8.
When you substitute the x value of 5 into the equation. You will get 4.
You do this for the rest of the x values and will get the correct y values.
Please answer with the correct letter for brainliest
Answer:
[tex]Given~inequality~is\\2(x-3) -5x<x-2\\or, 2x-6-5x<x-2\\or, -3x-6<x-2\\Subtracting~x~on~both~sides,\\-3x-x-6<x-x-2\\or, -4x-6<-2\\Adding~'6'~on~both~sides,\\-4x-6+6<-2+6\\or, -4x<4\\Dividing~'-4'~on~both~sides,\\\frac{-4x}{-4}>\frac{4}{-4} \\[Sign ~of~ inequality ~is~ reversed ~on ~dividing~ on~multiplying ~both ~sides~ by~ a~ negative~ number]\\or, x>-1 \\[/tex]
So, the required answer is C. [Look at the screenshot]
5. Given the function f(x) = 3(1.55)x.
a. Does the above exponential function represent exponential growth or decay?
b. State the percent increase of the above function.
c. State the growth factor (or multiplier) of the above function.
d. What is the initial amount of f(x)?
Answer:
it A ;)
Step-by-step explanation:
Carrie rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total more than 9.
Answer:
it is a 1 in 4 chance
Step-by-step explanation:
8 is the out come with more than 9 and 36 is the total number of out comes
8in. x 15in. 1/2 vdwvw
Answer:
HUH? WHAT?
Step-by-step explanation:
Only C please:)
Thanks
Answer:
3
Step-by-step explanation:
The f^-1 notation indicates you need to find the inverse of the function
y=2x+1
x=2y+1
Exchange the x & y variables. Note this is what accomplishes that reflection across the line y = x
7=2y+1
-2y=1-7
-2y=-6
Divide both side of the equation by -2
negative divide negative is positive so
y=3
Find the sum (7x + 2) + (-8x + 5).
ur supposed to like simplify it btw its for my sister
Answer:
-x+7
Step-by-step explanation:
(7x + 2) + (-8x + 5)
Combine like terms
7x -8x +2+5
-x +7
Answer:
-x + 7. It's honestly quite easy if you just try, I have a recommendation for you. Use an algebra solver website
Someone help please im really stuck on this one
Answer:
The answer should be c
Step-by-step explanation:
A line has the slope of 5/3
Which of the following points could this line pass through?
o (15, 13) and (0, 4)
(3,9) and (6, 14)
o (0, 4) and (19,9)
o (5, 7) and ( 10, 10)
1 2 3 4
Answer:
(3,9) , (6,14)
Step-by-step explanation:
9 + 5 is 14
3 + 3 is 6
Answer:(3,9) , (6,14)
Step-by-step explanation:
Someone please help me! Easy 10 points
Answer:
I can't see ;-; show close up
Please help, Will give brainliest
Firefighters used a ladder 50 feet high to reach a window that was 30 feet above the ground. From the same point on the ground, the ladder is turned to across the street to reach a window that was 40 feet high.
Select all the true statements.
The width of the street, BM, is 70 feet.
The ground distance of the ladder from building B is 30 feet.
The ground distance of the ladder from building M is 30 feet.
The width of the street, BM, is 122 feet.
The length KL is 50 feet.
Answer:
First since 2 of the options ask for the width of BM lets solve for it using the Pythagorean theorem for both sides of point L:
a² + b² = c²
30² + b² = 50²
b² = 50² - 30²
b² = 1600
b = 40 Line BL = 40 ft
Since the ladder is 50 feet it is the same length on the other side as well
a² + b² = c²
40² + b² = 50²
b² = 50² - 40²
b² = 900
b = 30 line LM is 30 ft
SO line lm + line bl = 30 + 40 = 70 ft
A is true because ^
B isn't true because as we solved for earlier, BL is 40
C is true because line LM is in fact 30 ft as we solved for
D is not true because as we said earlier BM is 70
E is true because the same ladder was used on both sides of the street
Step-by-step explanation:
The width of the street, BM, is 70 feet. The ground distance of the ladder from building M is 30 feet. The length of KL is 50 feet.
What is Pythagoras's theorem?Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
First, because two of the possibilities require the width of BM, let us solve for it using the Pythagorean theorem for both sides of point L.:
a² + b² = c²
30² + b² = 50²
b² = 50² - 30²
b² = 1600
b = 40
So, Line BL = 40 ft
So because the ladder is 50 feet long, it is also the same length on the other side.
a² + b² = c²
40² + b² = 50²
b² = 50² - 40²
b² = 900
b = 30
So, line LM is 30 ft
So line lm + line bl = 30 + 40 = 70 ft
Hence, the true statements are options (A), (C), and (E).
Learn more about Pythagoras's theorem here:
brainly.com/question/343682
#SPJ2
A bag contains:
• 5 red marbles
• 6 blue marbles
• 3 green marbles
• 4 black marbles
• 2 yellow marbles
A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn?
Answer:
35/100
Step-by-step explanation:
P(green or black) = 3/20 + 4/20 = 7/20
7/20 = 35/100
Answer:
35 times
Step-by-step explanation:
all of them added together is 20 7/20 7x5=35 because 20 goes into 100 5 times