In the figure shown below, if line m is parallel to line n, then find the value of x
Answers
Answer:
Step-by-step explanation:
The two angles shown are considered "alternate interior angles" because they lie on the INSIDE of two parallel lines, but on alternate/opposite sides of the transversal line. Alternate interior angles are congruent. You can use transformations to see that they are congruent. Therefore, you should set the two expressions equal to each other and solve for x.
The value of x is 25.
Given,
Line m is parallel to line n
The figure has two alternate interior angles.
- (2x - 10)°
- (65 - x)°
We need to find x.
What does Alternate Angles Theorem says?It states that when two parallel lines are cut by a transversal the resulting alternate interior angles or alternate exterior angles are congruent.
We have ,
From the figure:
Two alternate interior angles.
- (2x - 10)°
- (65 - x)°
Since line m and line n are parallel and from the alternate angles theorem
we see that,
2x - 10 = 65 - x
2x + x = 65 + 10
3x = 75
x = 75/3
x = 25
Thus the value of x is 25.
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Related Questions
Which of the following is theGiven the equation 2square root of x minus 5 = 2, solve for x and identify if it is an extraneous solution. radical expression of a to the five sevenths power?
Answers
√x = 7
x = ±√7 or ±2.645751
Using suitable identity evaluate 105 × 95
Answers
Answer:
105 × 95
(100+5) × (100-5)
(100)² - (5)²
10000 -25
9975
Step-by-step explanation:
105*95 is equal to 9975
2. What is the volume of this object?
1 m
2 m
4 m
3 m
3 m
6 m
Answers
Answer:
19
Step-by-step explanation:
Why does the government charge high taxes on cigarettes
Answers
Answer:
It depends on the demand for them.
Step-by-step explanation:
If the demand or desire for them goes up then the tax goes up. Just like Clorox in stores it is $14 dollars now when it used to be $4. And 3 packages of Clorox wipes is about $100. There is a big demand for sanitation products now!
The graph is posted now.
Answers
Answer:
where is the graph itself?
Answer:
see below
Step-by-step explanation:
Pre-image: A(3, 8), B(3, 3), C(7, 3)
Reflection in the x-axis changes the y-coordinate sign:
A'(3, -8), B'(3, -3), C'(7, -3)
Reflection in the y-axis changes the x-coordinate sign:
A''(-3, -8), B''(-3, -3), C''(-7, -3)
__
Comment
We have assumed that the first image is reflected again to get the second image. If the second image is supposed to be a reflection of the pre-image, then only the sign of x will change from the pre-image coordinates.
There are no "rotated" images; only reflected ones. (Though, after the second reflection, the image could be considered to be a 180° rotation of the pre-image.)
Fill in each blank for the function f(x) = 3x - 6.
Answers
Answer:
IM SLOWWWWWWWWWWWWWWWWWWWWWw
Step-by-step explanation:
2x + 14 + x =(3x + 6)
Answers
Answer:
0=8, no soluction
<3
Red
Answer:
0=-8
Step-by-step explanation:
3x+14=3x+6
3x+14-14=3x+6-14
3x=3x-8
3x-3x=3x-8-3x
0=-8
p(x) = 2x2 + 5x - 9
Part A
Evaluate p(1.75).
Answers
Answer:
Hi there!
Your answer is:
p(1.75) = 5.875
Step-by-step explanation:
p(1.75) means to plug in 1.75 for x
p(1.75)= 2(1.75)^2 + 5(1.75) - 9
6.125 + 8.75 - 9
SIMPLIFY
5.875
Hope this helps!
What is the solution of the following system
8x + 14y = 4
-6x - 7y = -10
a) (4,-4)
b (4,-2)
c (2,5)
d (6,-4)
Answers
Step-by-step explanation:
8x + 14y = 4 ...1
-6x - 7y = -10 ...2
...2 × 2 in 2 sides of the equation
-12x -14y = -20 ...3
...1 + ...3
8x + 14y +(-12x -14y) = 4 +(-20)
8x + 14y - 12x -14y = 4 - 20
-4x = -16
x = (-16)/(-4)
= 4
replace x in ...1 or ...2 you will reserve y value
and answer in the term of (x,y)
What can give you the height 623 ft
Answers
Answer:
not enough of information
Step-by-step explanation:
Jessica has collected bead all
Summer She started with 50
summer this summer then she was able to add 34
To her cullection she wanted to give 4 friend some beads how many beads will each friend get
Answers
Subtract. Then, in two or more complete sentences, explained how you found the difference. In your explanation, make sure to include any equivalent expressions you wrote, any rules you used, and the answer.
-1 5/12 - 7/12
Answers
Answer:can I see a pic
Step-by-step explanation:plzzzz
Answer:
-1 5/12 - 7/12 = is -2/12
Step-by-step explanation:
Mr. Hare left at 8:00 a.m. and is traveling 50 miles per hour. Mrs. Hare left at 9:00 a.m. and is traveling at 55 miles per hour. If Mr. and Mrs. Hare are traveling the same direction, what time will it be when Mrs. Hare first passes Mr. Hare?
A. 7:00 p.m.
B. 8:00 p.m.
C. 9:00 p.m.
D. 10:00 p.m.
Answers
Answer: B 8:00pm
Step-by-step explanation:
Please do help!!!!!!!
Answers
Maria had a baby last week. She weighed 12 pounds at the time of birth. She weighs 1 1/2 pounds more each week. If Maria’s baby continues to grow like this, how much will she weigh after 26 weeks?
Answers
Answer:
27 she will weigh
Step-by-step explanation:
just 26+1=27
What is the length of AZ?
Use the following information:
A
is between Y
and Z,
YA=22, AZ=16x,
and YZ=166.
Answers
The required length of AZ for the line segment YZ is 144.
Given that,
A is between Y and Z,
YA=22, AZ=16x, and YZ=166.
The line is a curve showing the fastestdistance between 2 points.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
YZ = YA + AZ
166 = 22 + 16x
16x = 144
x = 9
Now,
Length of AZ = 16x
= 16 * 9
= 144
Thus, the required length of AZ for the line segment YZ is 144.
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(7x^8-10v)-(4x^8+2v)
Answers
Which units are most appropriate for measuring the length of an edge of a postage stamp?
A. Centimeters
B. Feet
C. Kilometers
D. Yards
Answers
Answer:
A. Centimeters
Step-by-step explanation:
Option A) is correct.
Solution:
Centimeter is the most appropriate unit for measuring the length of an edge of a postage stamp because feet, kilometer and yards are use for measuring larger objects and edge of an postage stamp is very small in size.
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Simplify using the associative property.
(-4) • (-7.2) • (-5)
Answers
Answer: -144
Step-by-step explanation:
all you have to do is multiply -4 times -7.2 times -5.
The dots between the numbers are multiplication signs.
Edwin and Anthony are building a rectangular deck in their backyard. The longer side is 2 ft more than 1/3 of the perimeter. The shorter side is 1/10 of the perimeter. They also know that the longer side is 9 ft longer than the shorter side. What is the perimeter of the deck?
Answers
Answer:
30 ft
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Let
Perimeter = x
Length = 1/3x + 2
Width = 1/10x
Length = 9 + 1/10x
Perimeter of the deck = 2(length + width)
x = 2(1/3x + 2 + 1/10x)
x = 2(10x+3x/30 + 2)
x = 2(13/30x + 2)
x = 26/30x + 4
x - 26/30x = 4
30x-26x/30 = 4
4/30x = 4
Divide both sides by 4/30
x = 4 ÷ 4/30
= 4 × 30/4
x = 30 ft
Length = 1/3x + 2
= 1/3(30) + 2
= 30/3 + 2
= 10 + 2
= 12 ft
Width = 1/10x
= 1/10(30)
= 30/10
= 3 ft
Length = 9 + 1/10x
= 9 + 1/10(30)
= 9 + 30/10
= 9 + 3
= 12 ft
The perimeter of the deck = x = 30 ft
PLEAEE HELP!!!
Which term describes the distance from the center of a circle to any point on
the circle?
O A. Circumference
B. Diameter
O C. Center
D. Radius
Answers
Answer:
D. Radius
The Radius is half the diameter. The center of the cirlce is like the half way point in the circle. The diameter goes from one end of the cirlcle to another passing through the center. If the line goes from the center to any point on the circle that is the radius.
The term describes the distance from the center of a circle to any point on
the circle is the radius.
Option D is the correct answer.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is πr².
We have,
The distance from the center of a circle to any point on
the circle is the radius.
Now,
Diameter is the distance that passes the center from any two points on the circumference.
Thus,
The term describes the distance from the center of a circle to any point on
the circle is the radius.
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need help question is on question
Answers
Answer:
y = 7x + 2
Step-by-step explanation:
Here's attachment on what the table looks like and the slope intercept equation.
High Hopes ^^
Barry-
Answer:
y = 7x + 2
Step-by-step explanation:
makes sense i double check the others person.
Fatima Sheroud sells children's clothing for The
Grasshopper Shoppe. She is paid weekly on a straight
commission of 4% on sales of $5,000.00 or less and 5% on sales in
excess of $5,000.00. One week Fatima had a gross pay of $594.50.
What were her total sales for that week
Answers
Answer:
7890
Step-by-step explanation:
(5000*4%)+(x*5%)=594.50
200+(x*5%)=594.50
x*5%=394.50
x=7890
30 points Solve for y 4y+11=17
Answers
Answer:
1.5
Step-by-step explanation:
4y + 11 = 17
-11 -11
4y = 6
/4 /4
1y = 1.5
Rewrite the equation of the line 5y=-1/4x-6
Answers
write it how would you respect to x or respect to y
x = -1.25y - 1.5
If solving for y:
y = -0.05x - 1.2
Hope this helps! :))
Yall are so wrong do your math again people
Answers
Answer:
What math? you havent posted anything on here
What is the value of y?
y - 12
56
#
Choice
A.
56°
B.
1120
C.
440
D.
68°
Answers
9514 1404 393
Answer:
D. 68°
Step-by-step explanation:
The sum of angles in a triangle is 180°, so ...
y° +(y-12)° +56° = 180°
2y = 136
y = 68
The angle marked y° is 68°.
from the first step of the construction, drawing the arcs on both rays establishes that AB is
similar to AC
Congruent to AC
Different from AC
Answers
Answer: The answer is “Congruent to AC” !! When you are making an arc on both rays, they should measure/be exactly the same, and even more exact is you are using a compass
Step-by-step explanation:
After learning how to fly, Wendy reduced her daily commute time by 75% Previously, her commute took m minutes. Which of the following expressions could represent Wendy's commute time, in minutes, after she learned how to fly? Help guys i don't know
Answers
Answer:
Given:
(i) Wendy reduced her daily commute time by 75% by learning how to fly.
(ii) Previously, it took her 'm' minutes to commute.
To find:
(i) Wendy's commute time in minutes after she learned how to fly.
Solution:
Given that earlier it took Wendy 'm' minutes to commute.
After learning how to to fly, the commute time reduced by 75%.
So, time taken now = (100-75)% of previous time
= 25% of 'm' minutes
= \frac{25m}{100}
100
25m
= \frac{m}{4}
4
m
So, the time taken by Wendy now is \frac{m}{4}
4
m
minutes.
Which explains why the graph is not a function?
5
4
.3
It is not a function because the points are not
connected to each other.
It is not a function because the points are not related
by a single equation.
It is not a function because there are two different x-
values for a single y-value.
It is not a function because there are two different y-
values for a single x-value.
1 -
-5 -4 -3 -2 -1.
-17
1
2
3
4
5
х
-2
-3
4
Answers
Answer:
It is not a function because there are two different y-
values for a single x-value.
Step-by-step explanation:
x values can repeat, as long as the function passes the vertical line test, you're good