Answers
Answer:
m<1=117° by the Vertical Angles Congruence Theorem.
m<2=117° by the Alternate Exterior Angles Theorem.
Step-by-step explanation:
Vertical Angles Congruence Theorem- if two angles are vertical angles, then they are congruent.
Alternate Exterior Angles Theorem- when two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.
I hope this helps you out!! Have an amazing day :)
From the given diagram
m∠1 = 117° (Vertically opposite angles)
m∠2 = 117° (Corresponding angles)
In the diagram, we have two parallel lines and a transversal intersecting the two lines.
From one of the theorems, when two lines intersect, the opposite angles are equal. This is the vertically opposite angles theorem
In the diagram, angle 1 is opposite to the angle that measures 117°
∴ m∠1 = 117° (Vertically opposite angles)
Corresponding angles are found at different intersections but on the same side of each parallel line and the same side of the transversal line.In the diagram, angle 1 and angle 2 are found at different intersections and on the same side of each of the parallel lines as well as on the same side of the transversal line. Therefore, they are corresponding angles.
From one of the theorems, corresponding angles are equal. That means angle 1 is equal to angle 2
Since, m∠1 = 117°
∴ m∠2 = 117° (Corresponding angles)
Hence, from the diagram
m∠1 = 117° (Vertically opposite angles)
m∠2 = 117° (Corresponding angles)
Learn more here: https://brainly.com/question/16966545
Related Questions
Greatest common factor and disruptive property: rearrange 16 and 36 to look like this _______(_____+_____)
Answers
I'll give Brainliest!!
Each pair of polygons is similar. Write a similarity statement for the polygons. Then, find the measure of x, the measures of the indicated sides, and the scale factor.
Answers
Answer:
C
Step-by-step explanation:
The similarity statement is correct. Because they are similar, AB is equal to EF, so to find x, you do x-2=2.2. Solve that and you get x=0.2
pls pls help!! will mark u as brainliest, i need 5 statements and reasons.
Answers
PL≅YL - Given
∠P≅∠Y - Base Angle Theorem
LA≅AL - Shared Line (sry forgot what it is called)
PLA≅YLA - SAS (Side Angle Side)
hope this helps :)
Order the numbers from least to greatest
Answers
Answer:
1.4, 2, √7
Step-by-step explanation:
√7 = 2.65 (rounded to nearest hundredth)
1.4 is the smallest
2 is next
√7 is the biggest
Hope I helped :)
Please consider Brainliest :)
if this is a function
Answers
Answer:
function - is a relation for which each value from the set the first components of the ordered pairs
Paula knits hats. The number of hats h she can knit varies directly with the amount of yarn (y) in yards she has. The constant of proportionality is 42. Write an equation to represent the relationship between the number of yards of yarn Paula has and the number of hats she can knit.
Answers
Answer:
h = 42y
Step-by-step explanation:
The number of hats h she can knit varies directly with the amount of yarn (y) in yards she has.
h = ky
Where,
h = the number of hats she can knit
y = amount of yarn she has(yards)
k = constant of people = 42
Eequation to represent the relationship between the number of yards of yarn Paula has and the number of hats she can knit.
h = 42y
PLEASE HELP, URGENT. I’ll name Brainly if correct
Answers
Answer:
y=5-9x
Step-by-step explanation:
y is means y=
5 less than means 5-
product of 9 ans x means 9x
so... y=5-9x
Answer:
y = 9x - 5
Step-by-step explanation:
'is' = equal to
'less than' = difference/subtract
'product' = multiply
y = 9x - 5
-13 = r/9 + 8
Solve for r
Answers
r = -189
-13 = r/9 + 8
Subtract 8 on both sides
-21 = r/9
Multply 9 on both sides
-189 = r
Answer:
r = -189
Step-by-step explanation:
-13 = r/9 + 8
-13 - 8 = r/9
-21 = r/9
-21 × 9 = r
-189 = r
what is the answer 8/2x4-(3+1)
to this problem
Answers
Answer:
14
Step-by-step explanation:
8/2 × 4 - (3+1)
Using the order of operation, PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction), we can figure out the answer to this expression.
8/2 × 4 - (2)
4 × 4 - (2)
16 - 2
14
428 × (-23 ) + (-428 )× (-223)=
can you answer it with steps it would be a great help for me
Answers
Answer:
-935160312
Step-by-step explanation:
83*98 answer in standard form
Answers
Multiply 83 by 90. :)
Solve the equation for n.
5 = -4 + 27/n
Answers
Answer:
n=3
Step-by-step explanation:
Find the equivalent expression of 9^-5
Answers
Answer:
-59,049
Step-by-step explanation:
Multiply 9 by itself 5 times
what is an equation in point-slope form for (-8,5) and (-3,5)
Answers
Answer:
Step-by-step explanation:
Y-5=-2/5(x + 8)
Please help me, I really dont want to get an F :((( (The Graph Is In The Image)
The graph shows the data for the time it takes Jerome to bike to school, based on his average biking speed for that trip. Which sentence describes the association?
A.The speed he bikes at affects the time it take him to get to school, but it is unclear if the time increases or decreases.
B. As the average speed increases, the time he takes to get to school decreases.
C. The speed he bikes at does not affect the time it takes him to get to school.
D. As the average speed increases, so does the time he takes to get to school.
Answers
Answer:
B: As the average speed increases, the time he takes to get to school decreases.
Step-by-step explanation:
On the graph, it showed that the plotted points are decreasing as the average speed is increasing. Also, I took the test and B was the correct answer.
What is the length of the line?
Answers
2(5x+1)−2x=2−2(3x+1)
Answers
Answer:
[tex]x = -\frac{1}{7}[/tex]
Step-by-step explanation:
2(5x + 1) - 2x = 2 - 2(3x + 1)
Use the distributive property
10x + 2 - 2x = 2 - 6x -2
Combine like terms
8x + 2 = -6x
Subtract 2 from both sides
8x = -6x - 2
Add 6x to both sides
14x = -2
Divide both sides by 14
x = -2/14 = -1/7
At 8:00 a.m., the temperature was −6°F. By noon, the temperature had risen by 9°F. What was the temperature at noon?
Answers
The observatory in the John Hancock Center in Chicago is located in the top floor, 900 feet above the ground. The express elevator travels nonstop from the ground floor to the observatory on the top floor at a rate represented by the equation y=30x, where y is the height, in feet, and x is the number of seconds.
Answers
Answer:
Step-by-step explanation:
Given the rate at which the elevator travels modeled by the expression;
y = 30x where y is the height, in feet, and x is the number of seconds.
If the observatory in the John Hancock Center in Chicago is located in the top floor, 900 feet above the ground, we can calculate the time taken to reach the top floor by substituting y = 900 into the equation and solve for x as shown;
y = 30x
900 = 30x
Rearrange
30x = 900
Divide both sides by 30
30x/30 = 900/30
x = 30
Hence it takes 30seconds for the elevator to reach the top floor
Can you help me with these angles please????
Answers
Answer:
11. ∠9 = 100°
12. ∠6 = 80°
13. ∠8 = 80°
14. ∠2 = 80°
15. ∠5 = 100°
16. ∠11 = 100°
Step-by-step explanation:
Answer:
11. 100° 12. 80° 13. 80° 14. 80° 15. 100° 16. 100°
Step-by-step explanation:
We know a straight line is 180 degrees and that m∠7 is 100 degrees.
m∠9, m∠5 and m∠11 are 100 degrees
To find m∠6, m∠8, and m∠2 we subtract 100 from 180 and get 80 degrees.
If you fill in all the degrees of the angles, you will notice a zig-zag pattern. That helps when solving these kinds of problems
I hope this helped, please mark Brainliest, thank you!
Mrs Thomas walks3/4 of a mile every 1/3 of an hour.How far can she walk in an hour?
Answers
Answer:
2.25 miles
Step-by-step explanation:
If she can walk 3/4 of a mile in 20 minutes you need to multiply 3/4 by 3 because 20 times 3 is 60 and there is 60 minutes in a hour
What is the equation of the line that goes through the points 2,9 and 3,1
Answers
The equation of the line that goes through the given points is y = -8x + 25.
Given the following points:
Points on the x-axis = (2, 3)Points on the y-axis = (9, 1)To determine the equation of the line that goes through the given points:
First of all, we would determine the slope of this line by using the following formula;
[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substituting the points into the formula, we have;
[tex]Slope, \;m = \frac{1 - 9}{3 - 2}\\\\Slope, \;m = \frac{-8}{1}\\\\[/tex]
Slope, m = -8
Now, we can determine the equation of the line by using this formula:
[tex]y-y_1 =m(x-x_1)\\\\y-9=-8(x-2)\\\\y-9=-8x+16\\\\y=-8x+16+9[/tex]
y = -8x + 25
Read more on slope here: https://brainly.com/question/3493733
How do I solve 12a+3c=2a+6, for a
Answers
Answer:
14a+9c
Step-by-step explanation:
Answer:
Step-by-step explanatio
Emma earned $120 at her part-time job.
She also received a bonus of 20% of her
salary for additional hours worked. How
much did Emma earn in all?
Answers
Answer:
She earned $144 in total.
Where did Emory make an error?
Answers
Answer:
Uhhh... how do I answer this?
Step-by-step explanation:
There is no way for me to SEE where he made an error.
Please help. jfmnhnhbmnjmjhj
Answers
Answer:
d
Step-by-step explanation:
What is the prime factorization of 36?
22 × 9
2 × 32
22 × 32
3 × 13
Answers
Answer:
2 x 2 x 3 x 3
Step-by-step explanation:
Answer:
a composite number is written as a product of all of its prime factors, we have the prime factorization of the number. For example, the number 36 can be written as a product of primes as: 36 = 2² x 3². The expression 2² x 3² is said to be the prime factorization of 36.
2x+2=4+1x
and we are solving for X
Answers
Answer:
the answer is x = 2
Step-by-step explanation:
2x+2=4+1x
(2x-1x)+2= 4 +(1x-1x)
1x+2=4
1x(2-2)=(4-2
1x=2
2/1=x
x=2
Answer: X=2
I might be wrong
What is the opposite integer of 53
Answers
-53
The opposite of 53 is -53
I need help pls if u are good at math stuff
(-2.2) · (-2) · (–1) · (5) = ?
1. 88
2. 5 1/2
3. -88
4. -5 1/2
Answers
Answer:
My answer came out to -22.
Step-by-step explanation:
Start multiplying from left to right:
Two negatives multiplied are positive:
-2.2·(-2)=4.4
A negative and a positive multiplied equal a negative:
4.4·(-1)=-4.4
-4.4·5=-22