CD is parallel to FG and mZFED=126° and mZFCE=42º.
Find: a) mzAFG
b) m BEC
c) mcGFE
d) mzCFE
Answers
Step-by-step explanation:
a) 126°
b) 126°
c) 180-126 = 54°
d) 180-54-42 = 84°
Related Questions
The ratio of right-handed students to left-handed students is 8 to 3.There are 520 right-handed students in school.How many students are left-handed
Answers
Answer:
195 students are left-handed
Step-by-step explanation:
Here, we want to calculate the total number of students who are left-handed
Let the total number of students in the school be x
The total ratio is 8 + 3 = 11
8/11 * x = 520
8x = 11 * 520
x = (11 * 520)/8
x = 715 students
So the number of students who are left handed will be;
Total - number of right-handed students
That would be;
715-520 = 195
Suppose babies born in a large hospital have a mean weight of 3831 grams, and a variance of 108,900. If 65 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would be less than 3882 grams? Round your answer to four decimal places
Answers
Answer:
0.8944
Step-by-step explanation:
We start by calculating the z-score
To calculate the z-score, we shall need the standard deviation
Mathematically, standard deviation is square root of variance
that will be; SD = √108,900 = 330
Formula for z-score is;
x-mean/SD/√n
where n is 65 in this case
z-score = (3882-3831)/330/√65 = 1.25
The probability we want to calculate is;
P( X < 1.25)
we can use the standard normal distribution table for this
Using the table;
P( X < 1.25) = 0.89435 which is 0.8944 to 4. decimal places
Answer:
0.8944
Step-by-step explanation:
Angie and Kenny play online video games. Angie buys 1 software package and 1month of gameplay. Kenny buys 1 software package and 2 months of game play. Each software package costs $30. If their total cost is $90, what is the cost of one month of gameplay?
Answers
Answer: $10
Step-by-step explanation:
Angie buys = 1 software package and 1month of gameplay.
Kenny buys = 1 software package and 2 months of game play.
Cost of each software package = $30. Total cost = $90
The total cost is the addition of what Kenny and Angie bought. This will be:
(1 SF + 1 G) + (1 SF + 2 G) = 90
where,
SF = software package = 30
G = game
(1 SF + 1 G) + (1 SF + 2 G) = 90
30 + 1G + 30 + 2G = 90
60 + 3G = 90
3G = 90 - 60
3G = 30
G = 30/3
G = 10
One month of game play cost $10
A company's stockwas selling at 24$ a share.A month later it was selling at $30 a share. What is the percent gain
Answers
Answer:
20%
Step-by-step explanation:
% increase = (final − initial) / initial × 100%
= (30 − 25) / 25 × 100%
= 20%
Answer:
The percent gain is 25%
Step-by-step explanation:
Work out, giving your answer in its simplest form:
5/
14
x
7/
30
Answers
((5/14)*x^7)/30 = 0
1/84*x^7 = 0 // : 1/84
x^7 = 0
x = 0
x = 0
what the number 820.681 in expanded form using powers of 10
Answers
Answer:
[tex]820.681 = 8 \times 10^2 + 2 \times 10^1 + 6 \times 10^{-1} + 8 \times 10^{-2} + 1 \times 10^{-3}[/tex]
Step-by-step explanation:
[tex]820.681 = 8 \times 100 + 2 \times 10 + 6 \times 0.1 + 8 \times 0.01 + 1 \times 0.001[/tex]
[tex]820.681 = 8 \times 10^2 + 2 \times 10^1 + 6 \times 10^{-1} + 8 \times 10^{-2} + 1 \times 10^{-3}[/tex]
what is 2+2 and what is your favorite song?
Answers
Answer:
2+2=4 and my fave song is blood in the water
Step-by-step explanation:
Mark Deathshot brainliest
Answer:
4 and i see a dreamer
Step-by-step explanation:
Zeke kicked a football 92 yards. Zane estimated it at 90 yards. What percent error did Zane make? If a decimal, round the percent to 2 decimal places.
Answers
Answer:
Zeke had a 2.17% margin of error in his estimation.
Step-by-step explanation:
To set this problem up, you would need to create a proportion. X, the percent of error you're trying to find, should be over 100%. It should look like:
2/92 = X/100
This would translate your terms, the distance the football was kicked, into percentage terms. You should have 2/92 rather than 90/92. 90/92 would give you how accurate Zeke's estimate was instead of is percent of error.
Cross-multiply your numbers:
(2)(100) = 92X
200 = 92X
X = 2.1739
Then, once you round it, your answer would be X = 2.17.
2. H(x) is a quadratic function and H(1) = 1, H(-2) = 16, and H(3) = 11. What is the value of H(-1)?
A. 7
B. 3
C. -3
D. 8
E 5
Answers
Answer:
d
Step-by-step explanation:
Write an equation of the line in slope-intercept form that passes through ( -2, 5) and is parallel to y=4x.
A. Y=-2x+13
B. Y=4x-3
C. Y=-2x-3
D.y=4x+13
Answers
Y = 4x + b
Plug in the point
5 = 4(-2) + b
5 = -8 + b
b = 13
It would be D. Y= 4x+13
Find the slope of the line that passes through the points (5,9) and (2,7).
Answers
Answer:
-2/3
Step-by-step explanation:
y2-y1 over x2-x1
I have to order it from least to greatest in absolute value, and i dont get it can anyone help?
Answers
Answer:
ight A on top since it's the cmallest followed by B,C,D,E
Step-by-step explanation:
Will mark brainliest - GEOMETRY, show work plz
Answers
Answer:
1. Slope is 3/2
2. Slope is -2/3
3. Slope is 3/2
Step-by-step explanation:
Plz mark as Brainliest!
Answer:
Step-by-step explanation:
(-8-4)/(5+3)= -12/8= -3/2
perp. 2/3
y - 4 = 2/3(x + 3)
y - 4 = 2/3x + 2
y = 2/3x + 6
y - 4 = -3/2(x + 3)
y - 8/2 = -3/2x - 9/2
y = -3/2x - 1/2
After traveling 345 miles, the Johnston family stopped at a rest stop for lunch. Looking at the map, they realized they had completed 3/5 of the trip. If d represents the total distance in miles, which equation can be used to find d?
A. 3/5 divided by d = 345
B. 3/5 x d = 345
C. 345 x d = 3/5
D. 345 divided by d = 5/3
Answers
Answer:
B
Step-by-step explanation:
Answer:
B. 3/5 x d = 345
Step-by-step explanation:
Can someone help me with the questions in the picture?
Answers
Answer:
9. Perpendicular
10. neither
11. Perpendicular
12. neither
Step-by-step explanation:
------------------
Slope Intercept Form: y = mx + b
* M is the slope
* B is the y intercept
------------------
Lines are parallel if they have the same slope (ex. If two equations have a slope of 2)
Lines are perpendicular if they have the opposite and the reciprocal slope (ex. If 1 equation has a slope of 3 and another equation has a slope of - [tex]\frac{1}{3}[/tex] )
------------------
9. Perpendicular: The slopes are reciprocal of each other and one of them is negative
10. Neither: The lines are not perpendicular because the slopes are both negative
11. Perpendicular: If you plot y=5 it is a horizontal line through 5. If you plot x=-3 it is vertical line through -3. These lines intercept and are perpendicular.
12. Neither: The slopes of both equations need to be the same to be parallel
Put both equations into y=mx+by = 1/2x -2 AND y = -1/2x -2A hospital bill is estimated to be $480.00. It ends up actually costing the patient $524.50. What is the percent of error in the bill? Round to the nearest tenths place.
Answers
Answer: 8.484%
Step-by-step explanation:
The formula for percentage error is calculated as:
= (actual value observed - expected value) / expected value × 100
where,
Actual value observed = $480.00
Expected value = $524.50
Percent error = ($480.00 - $524.50)/$524.50 × 100
= -$44.50/$524.50 × 100
= -0.08484 × 100
= -8.484
= 8.484%
Sara owns a tree farm. Variety A of a pine tree is shipped to her at 12 inches tall and grows at a rate of 14 inches per year. Variety B of a pine tree is shipped to her at 2 inches tall and grows at a rate of 16 inches per year
Which equation can be used to determine the number of years, 2, at which the trees will be an equal height?
A:14 + 12x= 16 + 2x
B:16 + 12x = 14 +2x
С:12 + 16x =2 + 14x
D:12 + 14x= 2 + 16x
Answers
Answer:
The answer is D
The equation that can be used to determine the number of years at which the trees will be an equal height is -
14x + 12 = 16x + 2
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have Sara owns a tree farm. Variety A of a pine tree is shipped to her at 12 inches tall and grows at a rate of 14 inches per year. Variety B of a pine tree is shipped to her at 2 inches tall and grows at a rate of 16 inches per year.
Variety [A] = 14x + 12
Variety [B] = 16x + 2
The equation that can be used to determine the number of years at which the trees will be an equal height is -
14x + 12 = 16x + 2
Therefore, the equation that can be used to determine the number of years at which the trees will be an equal height is -
14x + 12 = 16x + 2
To solve more questions on straight lines, visit the link below-
brainly.com/question/20400984
#SPJ5
What is the image of (−8,2) after a reflection over the y-axis?
Answers
Answer:
8, -2
Step-by-step explanation:
Please help! 30 points!
Use the numbers:
6 3 5 4 2 1
in that order to make 100. Use brackets and the four operations.
Answers
Answer:
((6 x 3 + 4/2) x 5 ) / 1
what is the restriction in the determining if the given equation is a polynomial?
Answers
Answer:
Polynomials are formed from sums of power functions – with one restriction. The restriction is that the powers must be non-negative integers – simple numbers like 0, 1, 2, 3, etc.
Step-by-step explanation:
Which equation is parallel to a line with a slope of 2 and passes through (2, -1)
Answers
Answer:
y=2x-5
Step-by-step explanation:
Avi uses a 3.5-m
ladder to climb up
to his tree house.
The foot of the
ladder is 0.8 m
from the tree. How
far
up
the tree does
the ladder reach?
Answers
HELP PLEASE!!! STATISTICS
Answers
Answer:
its b
Step-by-step explanation:
its b i for some reason got it right
what is 2(u-3)=6u+10
Answers
Answer: =-4
Step-by-step explanation:
Why does the government issue only bonds, while companies issue both stocks and bonds?
a. The US government does not involve itself in the stock market because it does not want to risk
losing money if there should ever be a crash in the stock market.
Because the stock market is used as a form of gambling, the government refuses to associated
itself with the stock market as a way to discourage gambling.
Stock in a company gives the holder part-ownership of the company, with voting rights on big
decisions, and profits when the value goes up. The people already vote on happenings in the
government and inherently have ownership of the government.
d. A stock is a part ownership in a company, and the leaders of the government won't have the people owning the government.
Answers
Answer:
the answer is C
Step-by-step explanation:
Hence, option (C) is the correct answer.
What is a stock market?
The term stock market refers to several exchanges in which shares of publicly held companies are bought and sold.
Such financial activities are conducted through formal exchanges and via over-the-counter (OTC) marketplaces that operate under a defined set of regulations.
Stock in a company gives the holder part-ownership of the company, with voting rights on big decisions, and profits when the value goes up.
Hence, option (C) is the correct answer.
To know more about the stock market
https://brainly.com/question/3210355
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Alinehasaslopeof 1/3 anda y-intercept of –5What isitsequationin slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
[tex]y = \frac{1}{3}x - 5[/tex]
Step-by-step explanation:
Given
[tex]slope\ (m) = \frac{1}{3}[/tex]
[tex]y\ intercept = -5[/tex]
Required
Determine the line equation in slope intercept
The equation of a line in slope intercept is:
[tex]y = mx + b[/tex]
Where
[tex]m = slope = \frac{1}{3}[/tex]
[tex]b = y\ intercept = -5[/tex]
So, [tex]y = mx + b[/tex] becomes
[tex]y = \frac{1}{3}x - 5[/tex]
Mars is about 35,000,000 miles away from earth. If the moon is 250,000 miles away from earth, about how many times further is Mars?
Answers
Answer:
mars is 140 times farther than the moon
Step-by-step explanation:
hope this helped :-)
72 more females than males are enrolled in Archimedes High school. 60% of the students are female. What is the number of male students that are enrolled?
Answers
Answer:
115.2
Step-by-step explanation:
Answer:
360
Step-by-step explanation:
https://www.algebra.com/algebra/homework/Percentage-and-ratio-word-problems/Percentage-and-ratio-word-problems.faq.question.32852.html
A soccer player passes the ball from a point that is 18 yards from the endline and 12 yards from the sideline. A teammate who is 42 yards from the same endline and 50 yards from the same sideline receives the pass. (See figure.) How long is the pass? (Round your answer to the nearest yard.)
Answers
The answer would be 44.9 yard.
if n represents a number, write an expression that represents a number that is 5 less than n.
Answers
n-5
less than implies subtraction after the variable