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:
brainly.com/question/2125016
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Related Questions
Evaluate the expression. |18 – 4| 22 14 –14 –22
Answers
Work Shown:
|18-4|
|14|
14
You subtract 18-4 to get 14. Applying absolute value on a positive number leads to the same result.
Answer:
14
Step-by-step explanation:
|18 – 4|
First find the value inside the absolute value bars
18-4 is 14
|14|
Then take the non negative value
14
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Answer:
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Step-by-step explanation:
the area of the larger square is ____ times larger than the area of the small square
Answers
Answer:
The area of the larger square is 16 times larger than the area of the small square.
Fill in the missing terms.
a) 1 : 2 = ___ : 4 b) 1 : ___ = 3 : 6 c) 3 : 5 = ___ : 10
d) 1 : 5 = 3 : ___ e) ___ : 6 = 1 : 3 f) 9 : 15 = ___ : 5
Answers
a) 2
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e) 2
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What is the equation of a quadratic function that has zeros -6 and -2?
Answers
Answer:
[tex]y=x^{2} +8x+12[/tex] is the quadratic function.
Step-by-step explanation:
We know that -6 and -2 are the zeros. So, they are both equal to x.
x = -6 and x = -2
Add them to x.
(x + 6) (x + 2)
Now, multiply the two binomials together.
[tex]x^{2} +6x+8x+12[/tex]
Combine like terms.
[tex]y=x^{2} +8x+12[/tex]
[tex]y=x^{2} +8x+12[/tex] is the answer.
Morgan can type 18 words
per minute. How long will it
take her to type 3
paragraphs? (Each
paragraph has 30 words)
Answers
Answer: it will take 5 minutes.
if the roof building is 46 feet off the ground and the floor of the basement is 15 feet under ground what is the total distance from roof to basement floor
Answers
Answer:
61
Step-by-step explanation:
46 then you have to add another 15 feet for underground and you get 61 because it is asking form the roof to the basement floor
hope this helps
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Explanation: ...
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Answers
Answer:
the first number is the x axis and the second is the y axis so first find the x axis and plot the first number on there then do the same to the y.
Step-by-step explanation:
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Answers
Answer:
1,140
Step-by-step explanation:
subtract the percentage from the total
An atom is neutral. Its nucleus contains two protons and two neutrons. How
many electrons does the atom have?
Answers
Answer:
2 electrons
Step-by-step explanation:
An atom is neutral if it has no charge. That means the positive and negative charge balance each other out.
There are two protons, so that is a charge of +2. To make the charge 0, there needs to be a charge of -2. -2= 2 electrons.
Answer:
Answer is 2
Step-by-step explanation:
If an object is projected upward from ground level with an initial velocity of 48ft per sec, then its height in feet after t seconds is given by s(t)= -16t^2+48t. Find the number of seconds it will take to reach its maximum height. What is this maximum height? The object will take __ second(s) to reach its maximum height. (Simplify your answer.) The maximum height reached by the object is __ feet. (Simplify your answer.)
Answers
Answer:
t = 1.5 s and s(t) = 36 feet
Step-by-step explanation:
The height reached by an object as a function of time t is given by :
[tex]s(t)= -16t^2+48t[/tex] ...(1)
t is in seconds
To find the maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]
[tex]\dfrac{d( -16t^2+48t)}{dt}=0\\\\-32t+48=0\\\\t=\dfrac{48}{32}\\\\t=1.5\ s[/tex]
It will take 1.5 seconds to reach its maximum height.
Put t = 1.5 s in equation (1), such that,
[tex]s(1.5)= -16(1.5)^2+48(1.5)\\\\s(t)=36\ \text{feet}[/tex]
The maximum height reached by the object is 36 feet.
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Answers
Answer:
36
Step-by-step explanation:
What do solving absolute value equations and solving quadratic equations have in common?
Answers
Answer:
They often have more than one solution.
Answer:
Step-by-step explanation:
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Example: Solve
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Answers
Answer:
for every 5 units to the right, there is 1 unit up
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Answers
Answer:
3:00pmStep-by-step explanation:
The idea hear is to find the least common multiples of 15 and 24
Given that they separated at exactly 1:00pm
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the multiples common is 120
Therefore they will meet in 120minute, which is 2 hours time \
hence the time will be 3:00pm
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Answers
Answer:
28
Step-by-step explanation:
l = length
w = width
p = perimeter
w = w
l + l + w + w = p (adding all the rectangle's sides together gets us our perimeter)
l = 2w + 4 (four more than twice the width)
Substitute 2w + 4 for 'l' in the original equation
(2w + 4) + (2w + 4) + w + w = 80
Solve equation normally:
6w + 8 = 80
6w = 72
w = 72/6 = 12
(w = 12)
Length = 2w + 4
Substitute 12 for 'w':
2(12) + 4 = l
24 + 4 = l
28 = l
The length is 28
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Answer:
its yes
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Answer:
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Step-by-step explanation:
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Y<3x-1
Y>|x-2|
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Answers
Answer: TIME
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Answers
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Answers
Answer:
It's 0.142857
Step-by-step explanation:
Answer:
your answer is d.1/7
Step-by-step explanation:
all you have to do is subtract 5-4 which is 1 then add 7 as the denominator
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Answers
Answer:
n = 2
Step-by-step explanation:
Step 1: Write equation
"Five less" = subtract 5
"three times a number" = 3 × n, or 3n
"is 1" means = 1
3n - 5 = 1
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are hippos
Answers
Answer:
2 hippos
Step-by-step explanation:
Answer:
For every elephant, there are 2 hippos.
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Answers
Answer:
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Step-by-step explanation:
Solve the following equations.
1) 10 + x = 13
2) y - 13 =23
3) 4b = 24
4) m/5=7
Answers
Answer:
1) x = 3
2) y = 36
3) b = 6
4) m = 35
Step-by-step explanation:
1) x = 13-10 =3
2) y = 23+13 =36
3) b = 24÷4 =6
4) m = 5×7 =35
Which ordered pair is the solution to the system of linear equations Negative 5 x + y = 26 and 2 x minus 7 y = 16?
Answers
9514 1404 393
Answer:
(-6, -4)
Step-by-step explanation:
If you're going to use technology to answer your questions, you may as well use appropriate technology: a graphing calculator. It shows the solution to the system is the ordered pair (-6, -4).
__
The first of the given equations can be solved for y, then that used to substitute for y in the second equation.
y = 5x +26
2x -7(5x +26) = 16
2x -35x -182 = 16
-198 = 33x . . . . . . . . add 33x-16
-6 = x . . . . . . . . . . . . divide by 33
y = 5(-6) +26 = -4 . . . find y
The solution is (x, y) = (-6, -4).
4 equal piece of rope out of 2 1/2 inch how long is each piece
Answers
Answer:
1/4 inches
Step-by-step explanation:
To get 4 equal pieces you need to cut the 2 equal pieces in half, which half of 1/2 inches is 1/4 inches.