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
#SPJ2
Related Questions
If Hector is 8 years old and Mary is 3 years old, how old will Mary be when Hector is 16? Can I use proportional reasoning in here
Answers
Answer: Mary will be 11, and yes you can
Step-by-step explanation: hector will be 16 in 8 years so you just add the 8 on to the 3
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
Five less than three times a number is 1. Find the number
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
Step 2: Solve for n
Add 5 to both sides: 3n = 6Divide both sides by 3: n = 2The following graph shows a proportional relationship
Answers
Answer:
for every 5 units to the right, there is 1 unit up
the slope is y = 1/5
What is 7/9 divided by 1/3???????
Answers
Answer:
0.259...
Step-by-step explanation:
A rectangle has a perimeter of 80. if the length is four more than twice the width, what is the length of the rectangle
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
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.
Which ordered pair is a solution to the system of inequalities
Y<3x-1
Y>|x-2|
A. (-2,0)
B. ( 0,1)
C. (4,4)
D. (3,-1)
Answers
Jimmy deposits $5000 into an account that pays 4.5% interest compounded weekly. How much would he have when he goes to withdraw his funds? There is not enough information to complete this problem. What part is missing if you are using the formula given below?
Answers
Answer: TIME
Step-by-step explanation: I cant see the formula, but I think the one you are using is Interest = (principal)(interest rate)(time). You have the interest rate and principal, but you need the amount of time to figure out how much he has earned.
Ryan is taking a survey to find out how many people prefer soda A over soda B. He surveyed 100 people and forty-nine preferred soda A. Seven percent had no preference for soda A or soda B. What percentage of peoples surveyed preferred soda B?
Answers
Answer:
44%
Step-by-step explanation:
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.
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.
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
At the zoo, the ratio of elephants to hippos is 1.2. So for every elephant, there
are hippos
Answers
Answer:
2 hippos
Step-by-step explanation:
Answer:
For every elephant, there are 2 hippos.
(2a-b-c)³+(2b-c-a)³+(2c-a-b)³ factorise
Answers
Answer:
Sowy but try Mathwa y
Step-by-step explanation:
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
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.
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:
Quadratic equations are equations that when rearranged using the 5 operations can yield a polynomial of degree 2 on one side of the equation and 0 on the other. There are 3 commonly taught methods for solving quadratic equations. These methods are factoring, completing the square, and the quadratic formula. These functions are most commonly used to model projectiles, disregarding air resistance.
When using the factoring method one attempts to write a degree 2 polynomial as the product of two degree 1 polynomials. This method works because if we multiply two degree one polynomials together we find
For example: When factoring , we want to find two number a, b whose product is 6 and sum to 5. The values of a and b we are looking for are 2 and 3.
The method of completing the square centers around using the five operations to replace the original equation with an equivalent equation of the form by taking advantage of the fact that
The absolute value function takes the value of a number, regardless of whether it is positive or negative. Some problems that the absolute value is useful for modeling include an object bouncing on the ground.
For example, , since we do not care about the negative sign.
Example: Solve
Solution: Since the absolute value does not care about whether a number is positive or negative, if then or . Then we can solve each equation individually to find that x = 1 or 5.
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
b) 2
c) 6
d) 15
e) 2
f) 3
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).
the registration fee for a used car is 0.8% of the sale price of 5,700. How much is the fee
Answers
Answer:
1,140
Step-by-step explanation:
subtract the percentage from the total
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.
please help me with this
Answers
Answer:
its yes
I'm fighting ransome cuz I need at least 20 characters
what number can be added to 55 and have 45 and 9 as thier greatest common factor?
Answers
Answer:
36
Step-by-step explanation:
can medicine cure depression if you have it because of someone you’ve loved for 2 years but they just don’t care about you..? i’ve tried for 2 years to get over them and till this day i’m still ✨crying✨ every night :/ i need help i need answers to why this is happening.. i’m sorry for being depressed but i just can’t stop how much i love them.. and i pray for god but he never answers he just puts more pain in my life.. love you all and thank you for reading this if you did your all amazing..
Answers
Answer:
there is mutable ways to cure depression rather it would be therapy or antidepressants if you need help find a therapist or cirotherapist that can solve your pain and can prescribe medication
help me answer this slope problem (10 points)
Answers
Explanation: ...
Ryan and his brother are at a carnival. They separate from each other at the ferris wheel at 1:00 PM, and they agree that they will each meet back at the ferris wheel from time to time to see whether the other is ready to leave. Ryan checks the ferris wheel every 15 minutes. His brother checks in every 24 minutes. At what time will they meet at the ferris wheel again. (Hint: Don't forget you're looking for a time)
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
the multiples are
15= 15,30,45,60,75,90,105,120
24= 24, 48,72,96,120
the multiples common is 120
Therefore they will meet in 120minute, which is 2 hours time \
hence the time will be 3:00pm
Which of the following is equal to 5/7-4/7 (a) 0 (b) 1 (c) undefined (d) 1/7
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
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:
How do I plot the coordinates (2,-4)
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: