Lines AB and CD are parallel. Find the measures of the three angles in triangle ABF.
What is the angle measurement for A, B, and F. (Make sure they are degrees)
Can you help me with this math question?
Answers
A = 42°
B= 23°
F = 115°
Step-by-step explanation:
The required measures of the three angles in triangle ABF are A = 23°, B = 42°, and F = 115°.
What are Alternate Interior Angles?Alternate Interior Angles are defined as the pair of angles created on the inner side of the parallel lines
Given that Lines AB and CD are parallel.
To determine the measures of the three angles in triangle ABF.
For finding ∠F,
∠CDF = 180° - 157° = 23°
∠F = 180° - ∠C - ∠CDF
∠F = 180° - 42° - 23°
∠F = 115°
However, if a transversal intersects two parallel lines, then each pair of alternate interior angles is equal.
So ∠A = ∠CDF = 23°
And ∠B = ∠C = 42°
Thus, the required measures of the three angles in triangle ABF are A = 23°, B = 42°, and F = 115°.
Learn more about Alternate Interior Angles here:
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Related Questions
When finding the slope, it is important to identify _____ coordinates.
A. estimated
B. exact
C. any
Answers
Answer:
b the exact coordinates
What is the lower quartile? (CAN ANYONE HELP:))
Answers
How many solutions to y=2x-3 y=-x+3
Answers
Answer:
One solution, as there is only one intersection between these two lines.
x = 2, and y = 1 (point of interesection (2, 1) )
y = 2x-3
y = -x + 3
first step is to substitute the y of one equation into the other and solve for x.
- x + 3 = 2x - 3
___________
+x. +x
_____________
3 = 3x-3
_____________
+3 +3
____________
6 = 3x
_____________
÷3 ÷3
_______________
2 = x
______________
x = 2
_______________
We can verify this value is true by substituting it back into the equations and as a result also solving for the working y value.
x = 2 -> y = 2(x) - 3
2(2) - 3 = 4 - 3 = 1
y = 1
____________
x = 2 -> y = -(x) + 3
-(2) + 3 = -2 + 3 = 1
y = 1
The product of negative three and a number is equal to the sum of the number and four.
Answers
-3x=x+4
-x
-4x=4
x=-1
x is equal to -1
Answer:
-3x = x + 4
umm yea! this is correct i checked it!
. If the difference between a number and its reciprocal is 24/5, find the number.
Answers
Answer:
The answer is 5/25 you just switch it
Answer:
number is 5
Step-by-step explanation:
The reciprocal of a number n is [tex]\frac{1}{n}[/tex] , thus
n - [tex]\frac{1}{n}[/tex] = [tex]\frac{24}{5}[/tex]
Multiply through by 5n to clear the fractions
5n² - 5 = 24n ( subtract 24n from both sides )
5n² - 24n - 5 = 0 ← in standard form
(n - 5)(5n + 1) = 0 ← in factored form
Equate each factor to zero and solve for n
n - 5 = 0 ⇒ n = 5
5n + 1 = 0 ⇒ 5n = - 1 ⇒ n = - [tex]\frac{1}{5}[/tex]
However, n > 1 , thus n = 5
That is the number is 5
Can someone help me with this? Please-
Answers
Answer:
C
Step-by-step explanation:
You bike 16.2 miles in 1.8 hours at a steady rate. What equation represents the proportional relationship between the x hours you bike and the distance y in miles that you travel?
Answers
Answer:
9x
Step-by-step explanation:
You have to subtract both of the numbers and simplify it.
What is the solution to this equation?
2x + 3 = x − 4
Answers
Answer:
x = −7
Step-by-step explanation:
2x + 3 = x − 4
Subtract 3 from both sides of the equation
2x = x −7
Subtract x from both sides of the equation
x = −7
Answer:
X=7
Step-by-step explanation:
Step 1
Having all the
x
terms on one side of =
Subtract
2 x
from both sides
2 x − 2 x + 3 = 3 x − 2 x − 4
0 + 3 = x − 4
Swap round
x − 4 = 3
Step 2
Have just
x
on the left of =
Add
4
to both sides
x − 4 + 4 = 3 + 4
x = 7
HELP ME PLEASE
after you spend this amount time on deductibles, co-payments, and co-insurance for in-network care and services, your health plan pays 100% of the costs of covered benefits
A. co-insurance
B. premium
C. policy
D. max out of pocket
Answers
Answer:
i think its co-insurance
Step-by-step explanation:
the percentage you must pay for care after you've met your deductible
These steps were used to construct the perpendicular bisector of segment DE.
Which statement MUST be true?
PHOTO ABOVE
Answers
Answer:
haha imagine math
Step-by-step explanation:
Answer: MD=ME
Step-by-step explanation:
Those are the only ones that are actually equal to eachother. Plus I hate you to the other person who didn’t answer the question but said “lol imagine math”
The fraction 26/5 is between which two numbers?
Answers
Answer:
25/5 and 27/5
Step-by-step explanation:
26/5 = 4 1/5
26/5 is between 4 and 5.
Approximate the mean of the grouped data for the ages of the residents of a town.
The approximate mean age is years.
(Round to one decimal place as needed.)
Age
0-9
10-19
20-29
30-39
40-49
50-59
60-69
70-79
80-89
Frequency
57
73
39
65
60
47
37
13
18
Answers
Answer:
The mean age of the frequency distribution for the ages of the residents of a town is 43 years.
Step-by-step explanation:
We are given with the following frequency distribution below;
Age Frequency (f) X
0 - 9 30 4.5 135
10 - 19 32 14.5 464
20 - 29 12 24.5 294
30 - 39 20 34.5 690
40 - 49 25 44.5 1112.5
50 - 59 53 54.5 2888.5
60 - 69 49 64.5 3160.5
70 - 79 13 74.5 968.5
80 - 89 8 84.5 676
Total 242 10389
Now, the mean of the frequency distribution is given by the following formula;
Mean =
= = 42.9 ≈ 43 approx.
Hence, the mean age of the frequency distribution for the ages of the residents of a town is 43 years
Which equation represents a line perpendicular to the line shown on the graph?
On a coordinate plane, a line goes through (0, 8) and (2, 0).
y = 4 x minus 1
y = negative 4 x + three-fifths
y = one-fourth x + 5
y = negative one-fourth x minus 1
Answers
Answer:
y=4x+4
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
just a lil some some so please help me
Answers
Answer:
The answer to this is agree . Hope it helps.
w(x)=5/6x-3;w(x)=-18
Answers
Answer:
x = -18
Step-by-step explanation:
Step 1: Define
w(x) = 5/6x - 3
w(x) = -18
Step 2: Substitute and Evaluate
-18 = 5/6x - 3
-15 = 5/6x
x = -18
What represents 60=5 x 12?
Answers
Answer:
multiplication
Step-by-step explanation:
If f(x)=4x−3 and the domain of f is {0, 5, 10}, what is the range of f?
Answers
Answer:
It's the first one
Step-by-step explanation:
Find the midpoint of the line segment joining the points R(-3,3) and S(1,6).
The midpoint is
Answers
Answer:
[tex]Midpoint = ( -1 , 4.5)[/tex]
Step-by-step explanation:
[tex]\frac{-3 + 1}{2}[/tex] [tex],[/tex] [tex]\frac{3+6}{2}[/tex]
[tex]\frac{-2}{ 2}[/tex] [tex],[/tex] [tex]\frac{9}{2}[/tex]
[tex]Midpoint = (-1, 4.5)[/tex]
Hope this helps
plz mark brainliest
The midpoint of the points R(-3,3) and S(1,6) is (-1,4.5).
What is a midpoint?A location that is halfway between two other points is considered to be a line segment's midway. The distance between the midway and each endpoint is the same.
The midpoint is calculated by using the formula:- ( x₁ + x₂ ) / 2 , ( y₁ + y₂ ) / 2.
Given points are R(-3,3) and S(1,6). The midpoint of the given points are calculated as below:-
M = (-3+1 ) / 2 , ( 3 + 9 ) / 2
M = ( -1,4.5)
Therefore, the midpoint of the points R(-3,3) and S(1,6) is (-1,4.5).
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Explain to Alana why she might not want to blast her boss on social media just yet.
Answers
Ivan rented a truck for one day. There was a base fee of $16.95, and there was an additional charge of 89 cents for each mile driven. Ivan had to pay $155.79
when he returned the truck. For how many miles did he drive the truck?
Answers
Answer:
156 miles
Step-by-step explanation:
155.79-16.95=138.84
138.84/0.89=156
Graph each system. Tell whether the system has no solution or infinitely many solutions.
x+ 2y= 10
2x + 4y= 10
Answers
Answer:
No solution, they will never meet at any point.
Step-by-step explanation:
On the planet Umpt, there are 14 boondins to every 6 totts. If farmer
Coraz has 80 boondins on his elentire farm, how many totts are on the
farm?
No decimals. Use a mixed number if needed.
Answers
Answer:
6720
Step-by-step explanation:
Marcus jogged all the way around a square Park that has an area of four square miles how many miles total did Marcus jog
Answers
Answer:
1.434 miles
Step-by-step explanation:
if 1.5 miles isnt an option select 1 mile
choose the figures that are polygons
Answers
Answer:
I'm pretty sure figure A is the only one correct and also figure D
The total weight of 15 boxes is 45 pounds. How much would 40 boxes weigh? *
Answers
Answer:
120 pounds
Step-by-step explanation:
15 boxes = 45 pounds
45/15= 3
1 box= 3 pounds
40 x 3 = 120
40 boxes would weigh 120 pounds
hope this helps :)
Answer: 120 lbs.
Explanation: One box weighs 3 pounds (divide 45 by 15). 3 times 40 equals 120. So the total weight is 120 pounds.
Plz mark brainliest:)
Write down in terms of n an expression for the nth term of the following sequence 12,10,8,6,4
Answers
Answer:
n-2
Step-by-step explanation:
This can be written 12-2n+2=14-2n, so that when n=1, the 1st term is 14-2=12.
The 5th term is 14-10=4; the 6th is 14-12=2. And so on. This is the formula The expression for the total number of tiles in the nth term is the sum of the areas of the rectangles, n2 + n(n – 1) + 2, which can be simpli- fied to 2n2 – n + 2. quadratic sequences with visual models these are just examples: The nth odd number is given by the formula 2*n-1.
In linear sequences only, the 'nth-term rule' gives the value of any term in that sequence at position 'n'. It is written as 'xn ± y' where x = the constant difference between term values and y is a particular number. The rule allows you to work out the terms of a sequence. An arithmetic progression is a sequence where each term is a certain number larger than the previous term. The terms in the sequence are said to increase by a common difference, d. For example: 3, 5, 7, 9, 11, is an arithmetic progression where d = 2. The nth term of this sequence is 2n + 1.
the perimeter of the pentagon below is 63 units. Find the value of x
Answers
Answer:
7
Step-by-step explanation:
2x+10+11+(x+2)+(3x-2)=63
2(7)+10+11+(7+2)+(3(7)-2)=63
x=7
7 is the value of x
What are sides of a pentagon with different sides ?
If the sides of a pentagon are not equal in measure, it is termed as an irregular pentagon. In this case, the perimeter of the pentagon can be calculated by using the basic formula, Perimeter = sum of its sides.
Given,
side 1 = 2x
side 2 = 10
side 3 = x+2
side 4 = 11
side 5 = 3x-2
Sum of all the sides of the pentagon,
2x+10+(x+2)+11+(3x-2)=63
2x+10+x+2+11+3x-2=63
6x+21=63
6x=63-21
6x=42
x=42/6
x=7
Read more about pentagon here :
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What is the slope of the graphed line
Answers
Answer:
3/9 or 1/3
Step-by-step explanation:
change in y over change in x is the slope
youre going up 3 and right 9, so 3/9 which simplifies to 1/3
There are 25 students in the class. 10 students have sports practice after school. What is the ratio of students that do have practice, to those that do NOT?
Answers
Answer:
10:15
Step-by-step explanation:
What is the distance between the two endpoints in the graph below? If
necessary, round your answer to two decimal places.
(3,5)
O A. 13.46 units
B. 11 units
C. 10 units
66,-6)
D. 14.21 units
Answers
Answer:
14.21
Step-by-step explanation:
It's actually 14.21 on A p E x