In the diagram below, AB is parallel to CD. What is the value of x?
A. 30
B. 60
C. 150
D. 120
Answers
Answer:
C. 150
Step-by-step explanation:
x° + 30° = 180°...(sum of interior angles)
x° = 180° -30°
x°= 150°
x= 150
The value of x° in the given diagram is 150°. This is obtained by using the pair of interior angles formed along a transverse when passing through parallel lines.
What are the interior angles?The angles that lie inside or in-between region of the parallel lines when a transverse passes through them are said to be pair of Interior angles. These angles are on the same side of the transverse.The sum of these angles is 180°.What are the verticle angles?The verticle angles are opposite to each other when two lines are intersected at a point. Those angles are the same in size.
Calculating the angle x:It is given that line AB is parallel to line CD and transverse is making angles with these lines.
The angles are x° and 30°.
The angle of 30° is at the exterior side of these lines at the point of intersection of line CD and the transverse line. So, it forms a verticle pair of angles with the angle opposite to it.
Thus, the angle opposite to it also becomes 30°. This opposite angle lies inside the parallel lines. So it forms a pair of interior angles with a given angle x.
Since we know that sum of pair of interior angles = 180°, we get
x° + 30° = 180°
⇒ x° = 180° - 30°
⇒ x° = 150°
∴ x = 150°
Thus, the angle x = 150°. So, option C is correct.
Learn more about interior angles here:
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Related Questions
Find the zeros of the function f(x)=x2+2x-3
Answers
Answer:
x = -1 and x = 3
Step-by-step explanation:
f(x)= x^2-2x-3
f(x) = (x + 1) (x - 3)
Therefore, x = -1 and x = 3
The zeroes of the quadratic function f(x) = x² + 2x - 3 will be 1 and negative 3.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
The quadratic equation is given below.
f(x) = x² + 2x - 3
Then the factor of the quadratic equation will be
f(x) = x² + 2x - 3
f(x) = x² + 3x - x - 3
f(x) = x(x + 3) - 1(x + 3)
f(x) = (x + 3)(x - 1)
The zeroes of the function will be
f(x) = 0
(x + 3)(x - 1) = 0
x = 1, -3
Then the zeroes of the quadratic function f(x) = x² + 2x - 3 will be 1 and negative 3.
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A manager that owns 3 local area Car Maintenance Garages was researching certifications of mechanics that worked for her company. Consider the following Venn diagram.
What is the probability that a randomly selected mechanic from her 3 garages is ASE certified to work on Brakes? A.3/5. B. 1/2. C. 2/9. D. 4/15
Answers
Answer:
B. 1/2
Step-by-step explanation:
In the picture attached, the Venn diagram is shown
amount of ASE certified brakes mechanics: 4+2+2+1 = 9
amount of mechanics: 4+2+2+1+3+3+3 = 18
The probability that a randomly selected mechanic is ASE certified to work on brakes: 9/18 = 1/2
Answer:
B. 1/2
Step-by-step explanation:
Please help me with answer I need help now
Answers
Answer:
2 + 3
Step-by-step explanation:
I’m pretty sure it’s the first option due to that they scored more points instead of losing points.
Choose the graph of the solution to the inequality x <-12.
20
-10
0
10
20
20
-10
0
10
20
20
--10
0
10
20
20
-10
0
10
20
DONE
Answers
Answer:
The graph of the inequality x < -12 would look like the graph I attached
A number cube has sides that are labeled 1 to 6. Jamal rolls the number cube. What is the probability that he will roll a 2?
Answers
Answer:
1/6
Step-by-step explanation:
A sphere with center A is shown. Which represents a radius?
B
С
A.
B. BC
C. DG
D.
FE
Answers
Answer:
Segment AD
Step-by-step explanation:
Radius is a line that goes half way. In other words, it starts anywhere, and ends at the center of the circle.
Answer:
AD
Step-by-step explanation:
The radius goes from the center of the circle to the outer edge
AD and AG are radii
if f(x) = 0.5(2 - x), what is the value of f(-2)?
Answers
Answer:
2
Step-by-step explanation:
f(-2)=0.5(2-(-2))=
0.5(2+2)=
0.5(4)=
2
Hope this helps!
summer break is almost around the corner. You and your family call an uber and need to know how many miles you can be driven. Uber charges a service fee of $1 and charges $0.52 per mile. Your parents are willing to spend no more than $15. How many miles can be driven?
Answers
Answer:
You can go 26 miles
Step-by-step explanation:
15 - 1 = 14
14 ÷ 0.52 = 26.92
Will u b my friend
WILL GIVE BRAINLIEST FOR YES
Answers
Answer:
I'm down for a new friend
Step-by-step explanation:
sent the request
ᵤᵤ ᵧₑₛ
ᵘʳ ᵃⁿˢʷᵉʳ ʷᶦˡˡ ᵖʳᵒᵇᵃᵇˡʸ ᵍᵉᵗ ᵈᵉˡᵉᵗᵉᵈ ᵗʰᵒ
-3(x-4) + 7 = 4x - 9
Help me please!!
Answers
Answer:x=4
Step-by-step explanation:
Do your distribution rules to get -3x+12+7=4x-9. Then combine like variables to get -3x+19=4x-9. Add the 9 to 19 and get 28 then add the 3 to 4 to get 7. Should look like 28=7x. Divide the 7 to 28 and get the answer of 4
Answer:
X=4
Step-by-step explanation:
-3(x-4)+7=4x-9
-3x(12)+7=4x-9
+3x +3x
12+7=7x-9
+9 +9
12+16=7x
28=7x
28/7
4=x
Please answer correctly !!!! Will mark brainliest !!!!!!!!
Answers
Answer:
A
Step-by-step explanation:
Notice how it points it out for the x coordinate, and the closed circle means that point is included, So it's the range of the smallest x coordinate to the greatest x coordinate.
The sum of three times a number and three less than the number is thirteen.
(As an equation)
Answers
Answer:
3+5x5-3=13
Step-by-step explanation:
ACION
A student claims that if you dilate the net for a cube using a scale factor of 2, the surface
area of the resulting cube is multiplied by 4 and the volume is multiplied by 8. Does this
claim make sense?
(select)
make sense.
Answers
Answer:Yes
Step-by-step explanation:
Given
Suppose side length of cube is a
If we dilate the cube using a scale factor of 2
Side length becomes 2a
and the surface area becomes [tex]=6(\text{side length})^2[/tex]
Surface area[tex]=6(2a)^2[/tex]
Surface area[tex]=4\times 6(a)^2[/tex]
Thus surface area multiplied by a factor of 4
Now for volume
[tex]V=(\text{side length })^3[/tex]
[tex]V=(2a)^3[/tex]
[tex]V=8(a^3)[/tex]
Therefore volume is multiplied by a factor of 8
Therefore the above statements make sense
Consider the following expression 3(4+1)(2y+5). Select all of the true statements below.
Answers
Answer: 15
Step-by-step explanation:
Triangle ABC is transformed to create triangle MNL. 2 triangles have identical side lengths and measures. The second triangle is shifted down and slightly to the right. Which statement is true? The transformation is rigid because corresponding side lengths and angles are congruent. The transformation is rigid because corresponding side lengths are congruent and corresponding angles are not congruent. The transformation is nonrigid because the two triangles have different names. The transformation is nonrigid because the three sides and the three angles in each triangle have different measures.
Answers
9514 1404 393
Answer:
The transformation is rigid because corresponding side lengths and angles are congruent
Step-by-step explanation:
The problem statement tells you angles and side lengths are unchanged, so any answer choice contradicting that can be rejected.
Whether a transformation is rigid or not has nothing to do with naming, so you can reject the "different names" answer choice.
The true statement is ...
The transformation is rigid because corresponding side lengths and angles are congruent
Answer:
The transformation is rigid because corresponding side lengths and angles are congruentWhat is the volume of the cone.
Answers
Answer:
see below
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
The radius is 5 and the height is 8
V = 1/3 pi ( 5)^2 (8)
V =200/3 pi ft^3
We can approximate by by 3.14
V =209.33333 ft^3
Or by using the pi button
V =209.4395102 ft^3
What is the supplementary angle of
45°?
A. 35º B. 45° C. 135° D. 225° E. 315°
Answers
So the right answer is 135 degree.
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
c. 135
Step-by-step explanation:
a supplementary angle is an angle that adds up to 180.
so 180-45=135
What is the value of the expression below?
16.86 x 103
Answers
Answer:
1736.58
Step-by-step explanation:
Answer:
1736.58
Step-by-step explanation:
i multiplied
Today, the price of a new cell phone is $229. In 2000, the price of a similar cellphone was $345. What is the percent of change in the price of a cell phone from 2000 to today? Round your answer to the nearest whole number
Answers
Answer: decrease of 33.62%
Step-by-step explanation:
(345-229) / 345 * 100
Answer:
Cost of cell phone in 2000 = $229
Cost of cell phone in 2020 = $345
% Change in price = 229/345x 100
Answer =66%
Step-by-step explanation:
An agriculture researcher wants to test the effect of nine soil additives by adding four at a time to different rows of the
same plant. How many different combinations can be tested?
756
126
63
Answers
Answer:
126
Step-by-step explanation:
Hope it helped :)
A circle with a 12 inch diameter is folded in half and then folded in half again. What is the area of the resulting shape?
Round your answer to the nearest whole number.
Use 3.14 for pi. Do not include units (in2) in your answer.
Answers
A sample of a mysterious chemical substance
naturally gains mass over time.
The relationship between the elapsed time t, in
years, since the mass of the sample, M(t), in
grams, was initially measured is modeled by
the following function:
4t+3
M(t) = (1.16)
Complete the following sentence about the
yearly percent change in the mass of the
sample.
Round your answer to the nearest percent.
Every year, there is a
%
addition to/ removal from v
the mass of the
sample.
Answers
Answer: every year there is an 81% addition to the mass of the sample
Step-by-step explanation:
Khan academy told me
The yearly percent change in the mass of the sample will be 81.06%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred.
A sample of a mysterious chemical substance naturally gains mass over time.
The relationship between the elapsed time t, in years, since the mass of the sample, M(t), in grams, was initially measured is modeled by the following function:
[tex]\rm M(t) = (1.16)^{4t+3}[/tex]
The yearly percent change in the mass of the sample will be
At t = 0, we have
M(0) = (1.16)³ = 1.561
At t = 1, we have
M(1) = (1.16)⁷ = 2.826
Then the percentage will be
P = [(2.826 – 1.561) / 1.561] x 100
P = 0.8106 x 100
P = 81.06%
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Which function represents the graph below?
Answers
Answer:
The inequalities all need to be of the form a < x ≤ b. i think that is it
PLEASE HELP!! WILL MARK BRAINLIEST!!
Answers
Answer:I believe the answer would be undefined because it has no slope.
Step-by-step explanation:
Answer To:
PLEASE HELP!! WILL MARK BRAINLIEST!!
Step-by-step explanation:
Unidentified
What number do you plug in for PV (present value) in the amortization formula?
Answers
Answer:
The formula for Amortization is written in my attached picture
evaluate the function f(x) = 5x-3
Answers
Answer:
x = 3/5 = 0.600
Step-by-step explanation:
You have a total of 32 coins, dimes and quarters, that are worth $2.55. How many of each do you have? (work is what is needed)
Answers
Answer:
I think you just need to add those hope this helps. Sorry if it foose noy
Step-by-step explanation:
Peter piper picked 135 pickled peppers.
He ate 3 pickled peppers during lunch.
He made 11 small batched of hot sauce from the rest.
Enter the number of pickled peppers that are in each small batches of hot sauce.
Enter an equation that can be solved to find out how many pickled peppers, f, he used for each small batch of hot sauce.
Answers
Answer:
There are 12 pickled peppers in each small batch of hot sauce. We can use the equation f = (135-3)/11 to find this answer.
20
y
-12
14
-2 21
8
28
What is the y-intercept of the line?
Answers
Answer:
-2 21
Step-by-step explanation:
Answer:
y-intercept : (0, -223042)
Step-by-step explanation:
Simplify: 20y-1214-221828
Subtract the numbers: -1214-221828=-223042
= =20y-223042
y-intercept : (0, -223042)
Hope this helps.
I need help...please and thank you :,)
On her first stroke, Maya hit a golf ball 146 yards, 2 feet, 11 inches. On her second stroke, she hit it 163 yards, 1 foot, 2
inches. How far did the ball go altogether? Convert the answer to larger units whenever possible.
A. 311 yards 11 inches
B. 310 yards, 1 foot, 1 inch
C. 309 yards, 3 feet, 13 inches
D. 309 yards, 1 foot, 1 inch
Answers
Answer:
A
Step-by-step explanation:
1 yard = 36 inches
1 feet = 2 foots = 24 inches
First time, she's got 5315 inches, second time is 5868 inches
5315 + 5868 = 11183 inches
11183 : 36 = 310.638888889 inches
Change it and we have answer A, 311 yards 11 inches