In the following diagram lines m are n parallel the measures of AEB, BAE and CED are shown what is the measure of EBF
Answers
Answer:
∠ EBF = 98°
Step-by-step explanation:
(3x - 15) and (2x + 10) are vertically opposite angles and are congruent, then
3x - 15 = 2x + 10 ( subtract 2x from both sides )
x - 15 = 10 ( add 15 to both sides )
x = 25
3x - 15 = 3(25) - 15 = 75 - 15 = 60°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ EBF is an exterior angle of the triangle , then
∠ EBF = 60° + 38° = 98°
Related Questions
If f(x)=2x^2-4, find f(0) and f(-3)
Answers
Answer:
1st problem. x= √2, -√2 or Decimal form x= 1.41421356...
2nd problem. x= √2/2 , -√2/2 or Decimal form X= 0.70710678...
11. There are a total of 30 puzzle pieces. Three
out of 5 are red, the remaining are black. How
many puzzle pieces are black?
Answers
Answer: 2
Step-by-step explanation:
5-3=2
30-5=15
If three out of the five are red and there are a total of 30 puzzle pieces then the number of black puzzle pieces will be 12.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.
it is given that there are a total of 30 puzzle pieces three out of 5 are red, and the remaining are black.
From the given condition,
(3/5) of total puzzle pieces = Number of red puzzle pieces
(3/5) × 30 = Number of red puzzle pieces
Number of red puzzle pieces = 18
Total puzzle pieces = Red puzzle pieces + Black puzzle pieces
30 = 18 + Black puzzle pieces
Black puzzle pieces = 30-18
Black puzzle pieces =12
Thus, if three out of the five are red and there are a total of 30 puzzle pieces then the number of black puzzle pieces will be 12.
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A rainwater collection system collects water into a holding tank. For every 1 cm of rainfall on a 100 m² roof, 1,000 L of water can be colleA. How many liters of water can be crainfall on a 120 m² roof?
Part B. How many centimeters of rainfall are needed to fill a 40,000 L holding tank from a 120 m² roof?
Answers
Answer:
A: 3 0 0
B: 150 ;-;
Step-by-step explanation:
A hockey team plays 42 matches. It wins 21, draws 14 and loses the rest. Express each of these results as a percentage of the total number of games played.
Answers
Express the number of each result as a fraction of the total number of games played and multiply with 100.
The percentage of the games won is :21/42 × 100 = 50%The percentage of the draw games is :14/42 × 100 = 100/3 = 33 1/3%The percentage of the games lost is :42-21-14/42 × 100 = 7/42 × 100 = 50/3 = 16 2/3%This is a sample question for brainliest! Brainliest will be given to the user who accurately answers the question with the most detail in a step-by-step explanation. NO guesswork, plagiarism, or links!!!
Simplify the following algebraic expression:
[tex](6 x^{4} ) (4 y^{2} ) / [ (3x^{2} ) (16y)][/tex]
Answers
Well, we're just simplifying the fraction.
(2x^2)(y/4).
(2yx^2)/4.
When powers of the same base are being divided, subtract. The numbers are just plain fractions. 6/3 = 2 and 4/16 = 1/4. x^4/x^2 = x^2 and y^2/y = y.
Edit:
2/4 is 1/2.
(yx^2)/2.
two ratios that are equivalent to 4:18
Answers
what would be the measure of <a.
Answers
Answer:
360 is the constant
Step-by-step explanation:
2p³+5p²+6p+15. Solve by grouping
Answers
Answer:
[tex]2 {p}^{3} + 5 {p}^{2} + 6p + 15[/tex]
Step-by-step explanation:
there are not any like terms, so you can not add anything together.
like terms means it has the same variable (letter) and exponent or it is a constant (a number by itself)
Victor and his friends are preparing for an epic snowball fight. They make 85 snowballs before Victor's dad calls them in for lunch. After lunch, they make more snowballs. In all, Victor and his friends make 153 snowballs.
Which equation can you use to find the number of snowballs s Victor and his friends make after lunch?
Answers
Answer:
85+x=153
Step-by-step explanation:
So basically, Victor made an unknown amount of snowballs after lunch, and you need to find the amount. You can represent the unknown as the variable x. Then, you get the equation 85+x=153
The equation used to find the number of snowballs s Victor and his friends make after lunch is s + 85 = 153.
Given data:
Victor and his friends are preparing for an epic snowball fight. They make 85 snowballs before Victor's dad calls them in for lunch. After lunch, they make more snowballs. In all, Victor and his friends make 153 snowballs.
Now , the equation to find the number of snowballs Victor and his friends make after lunch is determined as :
s + 85 = 153
In this equation, "s" represents the number of snowballs they make after lunch. The equation states that the sum of the snowballs made before lunch ("85") and the snowballs made after lunch ("s") is equal to the total number of snowballs they made ("153").
Hence, the equation is s + 85 = 153
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O A. All real numbers
O B. y> 0
O c. y> 4
O D. y>4
Answers
Answer:
A
Step-by-step explanation:
cause an exponent and be any number
Express the number 7.901×10 to the 12 hour in standard form to change his number to standard form move the decimal point how many places
Answers
Answer:
7.901. 10 '12'
Step-by-step explanation:
NEED Help What is one element a topographic map shows?
Elevation
Space
Temperature
Weather
Answers
Answer:
One element a topographic map shows is Elevation.
Step-by-step explanation:
To join the school swim team, swimmers must be able to swim at least 480 yards
without stopping. Let n represent the number of yards a swimmer can swim without
stopping. Write an inequality describing which values of n will result in a swimmer
making the swim team.
a)
nis greater than or equal to 480
b) n is less than or equal to 480
n is greater than 480
d)
n is less than 480
Answers
Answer:
A) n is greater than or equal to 480.
Step-by-step explanation:
The keyword "at least" means greater than or equal to.
WILL MARK BRAINLIEST!
Simplify 9y + 2a - 5y + 3 - 8a
Answers
Answer:
Your answer is 4y - 6a + 3
Step-by-step explanation:
Combine like terms.
Answer:
[tex] \huge \color {blue} \boxed { \colorbox {brown}{ ANSWER }}[/tex]
9y + 2a - 5y + 3 - 8a
→ 4y + 2a + 3 − 8a
→ 4y − 6a + 3
→ 6a + 4y + 3
I need help lollololol
Answers
Answer & Step-by-step explanation:
37.
Linda walked 3/4 (or 75%) of a track which is 3.5 miles long
Multiply 0.75 by 3.5 to get 2.625 miles (or 2 and 5/8 miles)
38.
We need to multiply the 2 and 3/8 mile track by 2 and a half (2 and 0.5)
1/8 is 0.125
2/8 is 0.25
3/8 is 0.375
The track is 2.375 miles long.
Multiply 2.375 by 2.5
The track will be 5.9375 miles long after 5 years ( or 5 and 15/16 miles)
Step-by-step explanation:
37) ¾×7/2
21/8 miles = 2⅝miles .
38) (19/8×5/2)+19/8
= 95/16+19/8
= 133/16 = 8 5/16 miles .
hope this helps you.
Find the cosine of ZX.
Answers
Answer:
[tex] \cos(x) = \frac{ 65}{ \sqrt{ {65}^{2} + {72}^{2} } } = \frac{65}{97} [/tex]
Please help!! No links
Answers
Answer:
Okay. We'll do some sort of telepathy or anything to find out what you're trying to say. But not now because I don't have any reason to help you with this empty post, ask something if you want else expect these answers.
5x - 9 = 3x + 3 what is x
Answers
Answer:
x=6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Then solve
x
=
6
Answer:
x = 6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable and solve for x.
What is the missing value?
Answers
Answer:
The second one is 33
The first one is 17
Step-by-step explanation:
For the first one your just adding three the second one your just adding 8
Write the equation of a line that is perpendicular to y = 3x - 2 and goes through the point (0,5)
Answers
Answer:
y = -1/3x + 5
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes. This means that if you multiply the slopes of both linear equations, the product will be -1.
Given the linear equation, y = 3x - 2, and the point (0, 5):
The negative reciprocal of the slope (m) = 3 is -1/3. Hence, we can assume that the slope of the other line must be -1/3.
Next, using the slope of the other line (m = -1/3) and the given point, (0, 5), we'll substitute these values into the slope-intercept form, y = mx + b, to solve for the y-intercept (b):
y = mx + b
5 = -1/3(0) + b
5 = 0 + b
5 = b
The y-intercept (b) of the other line is 5.
Therefore, the linear equation of the line perpendicular to y = 3x - 2 is:
y = -1/3x + 5
Please mark my answers as the Brainliest if you find my explanations helpful :)
Solve for x!!!!!!! Plzzzz
Answers
x = 7
Step-by-step explanation:
(12x + 1) + 95° = 180°
12x + 96 = 180°
12x = 84
x = 84/12
x = 7
I hope you have a good day!!
hey guys pls help mee!!! numbers between 2/3 and 8/9??? Thanks and also pls explain ok? <333
Answers
Answer:
2/3 = 0.667 8/9 = 0.889 Then, we compare the two decimal numbers to get the answer. 0.667 is not greater than 0.889.
factorize:
x²+3x-4
3x²+5x+2
6x² + 11x + 4
x²-3x +2
x²+3x-40
Answers
Answer:
1. (x-1) (x+4)
2. (3x+2) (x+1)
3. (3x+4) (2x+1)
4. (x-1) (x-2)
5. (x-5) (x+8)
Please help. I struggle with geometry
Find the measures of angle 1 and angle 2. State the theorem or postulate that justifies your answer,
Answers
Answer:
Angle 2 = 55
Angle 1 = 125
Step-by-step explanation:
Considering the line vertical lines are parallel:
Angle 2 and angle with measure of 125 are supplementary and their sum is = 180
So m<2 = 180 - 125 = 55
For angle 1:
Again since the vertical lines are parallel:
Angle 1 and angle with given measure 125 are alternate and has same measurement.
Answer:
Angle 2= 55 degrees
angle 1= 125 degrees
Step-by-step explanation:
Angle 2 uses SA, 180-125=55
angle 1 is parallel to the 125 degree line
Need help . Explain if you can . The options are
Additive property of length
All right angles are congruent
Definition of angle bisector
Definition of equilateral triangle
Definition of midpoint
Vertical angle theorem
Answers
9514 1404 393
Answer:
Definition of midpoint
Step-by-step explanation:
The statement you're trying to justify is one that relates two line segments. (It says they're congruent.) This does not involve angles or triangles, and no addition of length is involved. The only reasonable choice on the list (and the correct one) is ...
Definition of midpoint
__
A midpoint is a point that divides a line segment into two congruent parts. Since W is said to be the midpoint (given), it must divide UV such that UW ≅ VW, the statement we're trying to justify.
Mia solved the equation 4x - 8 = 2(2x-4) and ended up with -8 = -8. what does this mean?
a) one solution
b) many solutions
c) no solutions
d) she did it wrong
Answers
Answer:
D
Step-by-step explanation:
She should have ended up with 4x-8= 4x-8
When you put everything on the proper side everything cancels out
4 1/2 yards of rope -6 2/3 yards of rope
Answers
Answer:
-2.17 yrds?
Step-by-step explanation:
helpppppppppppppppppppppppppppppp meeeeeeeeeeeeeeeeeee plsssssssssssssssssssssss there is more but plss help mee
Answers
True or False: If one of the legs in a right triangle is half of the hypotenuse, then the angle opposite to that leg is 60 degrees.
Answers
We want to see if the given statement is true or false.
We will prove that the statement is false.
The statement is:
" If one of the legs in a right triangle is half of the hypotenuse, then the angle opposite to that leg is 60 degrees."
We can use the rule:
Sin(θ) = (opposite cathetus)/(hypotenuse).
Let's define:
hypotenuse = H
opposite cathetus = H/2
Let's see if the given angle is equal to 60°, we will have:
Sin(θ) = (H/2)/H = 1/2
θ = Asin(1/2) = 30°
So we can see that the statement is false.
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1 book/5 days is it a unit rate
Answers
Answer: No, it is not a unit rate
Explanation:
A unit rate is when the time value in the denominator is 1. So it would need to be "1 day" instead of "5 days" for it to be a unit rate. The term "unit" means "one".
To convert to a unit rate, we simply compute 1/5 = 0.20 to see that the unit rate is 0.20 books per day. This is the same as saying "0.20 books every 1 day", but I think the phrasing "books per day" is more common.
