Answers
Answer:
See answers below
Step-by-step explanation:
The Bisector Angle Theorem basically states that if a bisector cuts the middle of an angle, the two angles that it creates will be equal to each other.
Therefore:
#7 -> x=38
#8 -> x=144
#9 -> 2x=84 -> x=42
#10 -> x+3=30 -> x=27
Related Questions
ABCD is a rectangle. Find the mCED
Answers
Answer:8.5...
Step-by-step explanation:
18. Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
(-3,1);m=3
20. Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
(-3,-5);y=-2x+2
21. Write an equation in slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation.
(0,0);y=-3x+2
Answers
Answer:
(-4,-2); y=4x+2
Step-by-step explanation:
I'LL MARK BRANLIST. A box contains 3 plain pencils and 3 pens. A second box contains 3 color pencils and 7 crayons. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected? Write your answer as a fraction in simplest form.
Answers
Answer:
First Box: 3/6 --- 1/2
Second Box: 3/10
ASAP The grocery store sells fish for $8.50 a pound and hamburger for $3.00 a pound. Write an equation in
standard form for the weights of fish fand hamburger h that a customer could buy with $24.
Answers
Answer:
8.50f + 3.00h = 24
Step-by-step explanation:
A cylindrical tank has a radius of 5.5 ft and an altitude of 16 ft. If a gallon of paint will cover 130ft^2 of surface, how much paint is needed to put two coats of paint on the entire surface of the tank?
Answers
Answer:
Approximately 11 gallons of paintStep-by-step explanation:
First we need to calculate the Total surface area of the cylindrical tank as shown;
TSA of the tank = 2πr² + 2πrh
TSA of the tank = 2πr(r+ h) where;
r is the radius of the tank
h is the height
Given
radius = 5.5ft
height = 16ft
Get the surface area;
TSA = 2π(5.5)(5.5+ 16)
TSA = 2π(5.5)(21.5)
TSA = 2π(118.25)
TSA = 2(3.14)(118.25)
TSA = 742.61ft²
If a gallon of paint will cover 130ft^2 of surface, then the total number of paint needed will be;
Total number of paint needed = 742.61/130
Total number of paint needed = 5.7
For one coat we will need 5.7gallons of paint
For two coats we will need 2 * 5.7gallons = 11.4
Hence approximately 11 gallons of paints will be needed for the two coats
Guys plz help plz on both plzzzzz
Answers
Answer:
The first one is 9/50 and the second one is 1/2
Step-by-step explanation:
you multiply the numerators by each other then you multiply the denominators by each other then you should have your answer :)
PLS ANSWER
Which number line represents the solutions to-2|x| =-6?
o
-8
8
Answers
Write the equation, in slope-intercept form, of the line that passes through (-2,0) and is parallel to the line represented by 5x-3y=-17 .
Answers
Answer:
[tex]y=\frac{5}{3}x+\frac{10}{3}[/tex]
Step-by-step explanation:
Firstly we rewrite the equation that is parallel to the line we need because parallel lines have the same slope by the rule
[tex]m_1=m_2[/tex]
so we rewrite the equation in slope-intercept form:
[tex]5x-3y=17\\-3y=-5x+17\\y=\frac{-5x+17}{-3}\\\\y=\frac{-5x}{-3}+\frac{17}{-3} \\\\y=\frac{5}{3}x-\frac{17}{3}[/tex]
and now we compare it with our slope-intercept form equation:
[tex]y=mx+b[/tex]
the coefficient of x which is m is the slope and since parallel lines have equal slopes the line that we need would also have the same slope which is 5/3.
now the next step is the line that we need passes through the point (-2,0) so it means that it should satisfy that specific point so we insert that point into our slope-intercept form and insert the slope which is 5/3 which is m.
[tex]y=mx+b\\y=\frac{5}{3}x+b\\\\0=\frac{5}{3}(-2)+b\\\\0=\frac{-10}{3}+b\\\\b=\frac{10}{3}\\[/tex]
now we know that the y-intercept(b) of the line we need is 10/3 and slope(m) is 5/3 insert these values into our slope-intercept form:
[tex]y=mx+b\\y=\frac{5}{3}x+\frac{10}{3} \\[/tex]
so this is our given line.
Raj polled 100 students in his class to compare the number of hours that boys and girls played video games each week. The results of his survey are shown below. Which gender shows greater variability in their playing time?
Hours of Video Game Time per Week for Boys
A box-and-whisker plot. The number line goes from 0 to 28. The whiskers range from 0 to 28, and the box ranges from 9 to 17. A line divides the box at 14.5.
Hours of Video Game Time per Week for Girls
A box-and-whisker plot. The number line goes from 0 to 28. The whiskers range from 0 to 28, and the box ranges from 3 to 15. A line divides the box at 6.
Boys show greater variability because the 3rd quartile for boys is 17 but only 15 for girls.
Boys show greater variability because the median playing time for boys is 14.5 but only 6 for girls.
Girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.
Girls show greater variability because the data for the girls is skewed toward the lower end of the box plot.
Answers
Answer:
c is the correct answer i took the test
Step-by-step explanation:
The gender that shows greater variability in their playing time is C. Girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.
How to find the interquartile range?For the males, the interquartile range will be:
= Third quartile - First quartile
= 17 - 9
= 8
For the females, the interquartile range will be:
= Third quartile - First quartile
= 15 - 3
= 12
Therefore, girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.
Learn more about interquartile range on:
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1. Which of the following is a solution to the
equation - 2/5x = 10?
a. X = -4
b. X = -25
c. X= 4
d. X = 25
Answers
The answer to X has to be negative. Since -2/5 is negative and we’re trying to get to 10, we need another negative to cancel out the negative into a positive. Multiply -2/5 by X (-25) so it’s -2/5 x -25/1. Negative times negative is positive. 2 x 25 is 50. 5 x 1 is 5. 50/5 is 10.
NEED ASAPPPP
The linear equation below describes the graph of a line.
4x – 3y = -12 Which of these is a point on the graph of the line?
Answers
Answer:
(-3,4)
Step-by-step explanation:
to solve for x, make y=0
to solve for y, make x=0
Well, you didnt give answer choices, BUT go onto desmos and use the graphing calculator to figure it out :)
Abby spent 22 minutes working on her science project yesterday 34 minutes working on today. how many minutes did Abby spend working on her science project altogether
Answers
The number of minutes that Abby spend working on her science project altogether is 56 minutes.
How to calculate the value?From the information, Abby spent 22 minutes working on her science project yesterday and 34 minutes working on today.
Therefore, the time used altogether will be the addition of the time used for both occasions
= 22 minutes + 34 minutes
= 56 minutes
This illustrates addition.
Learn more about time on:
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Find the slope of the graph
Answers
Answer:Pick two points on the line and determine their coordinates.
Determine the difference in y-coordinates of these two points (rise).
Determine the difference in x-coordinates for these two points (run).
Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
Step-by-step explanation:
The town of Apple Valley, California is at an elevation of 2,900 feet above sea level. Death Valley, California has an elevation of 282 feet below sea level. What is the difference in elevation of the two towns?
Answers
Answer:
The difference in elevation of the two towns is 3182 feet.
Step-by-step explanation:
Let's treat the elevation of sea level as 0 feet. That way, we can calculate the elevation of the two spots by using it as a measuring parameter.
Apple Valley is 2,900 feet above sea level. Hence, its elevation is (0 + 2,900) feet, which is 2,900 feet.
Death Valley is 282 feet below sea level. Hence, its elevation is (0 - 282) feet, which is -282 feet.
Hence, to calculate the difference, we subtract the elevation of Death Valley from that of Apple Valley, getting [2900 - (-282)] feet, which equals to (2900 + 282) feet which is 3182 feet.
Therefore, the difference in elevation of the two towns is 3182 feet.
Hope this helped!
While touring the city, Bernie
buys lunch for his family from a
food truck. He purchases one
taco for $2.75 and four
cheeseburgers. If he spent a
total of $23.75, how much was
each cheeseburger?
Answers
Answer:
$5.25
Step-by-step explanation:
23.75-2.75= is the price of four cheeseburgers, which is 21. 21/4 is the price of one. So its 5.25
in ACE, G is the centroid and BE = 9. find BG and GE
Answers
Answer:
b-g is 3
g-e is 6
Step-by-step explanation:
good luck, have a good day, can i get brainliest
GE = 6 and BG = 3
What is centroid?The point in which the three medians of the triangle intersect is known as the centroid of a triangle.
Given that, G is the centroid and BE = 9
The centroid point G divides the segment BE in the ratio 2:1, such that GE is twice the length of BE,
BG = 1/3*BE
BG = 1/3*9 = 3
And,
GE = 2/3*9 = 6
Hence, GE = 6 and BG = 3
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Classify the triangle. Check all that apply
Acute
Obtuse
Right
Scalene
Isoceles
Equilateral
Equiangular
None of the above
Answers
Answer:
The answer is Right because of the tiny square in the right corner and scalene because none of the three sides are equal in length.
Step-by-step explanation:
I hope this helps!
Solve 20/420 and remember to add the partial quotients to find the actual quotient.
Answers
Answer:
0.0476
Step-by-step explanation:
To solve 20/420,
We first reduce the numerator and denominator to its lowest terms(we are not using long division method) :
In the fraction 20/420, we cancel out the zeros =2/42
In the fraction 2/42, 2 will divide numerator and denominator so =1/21
To find the actual quotient, we are sure to get a result of decimal number since numerator is already smaller than denominator,
Therefore 1/21= 0.0476 to 4 decimal places
Note : we add zero to the numerator till it can be divided by 21(even with a remainder) hence the "0.0" before 4
what is the bill for 10 day rental b = 45.95d + 38.5
Answers
Answer:
b = 498
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
b = 45.95d + 38.5
d = 10 days
Step 2: Evaluate
Substitute: b = 45.95(10) + 38.5Multiply: b = 459.5 + 38.5Add: b = 498Answer:
498 dollars
Step-by-step explanation:
So just plug in the 10 in the equation for D
45.95*10+38.5
Now just solve using order of operations
You would get 498
Which relation is a function?
A) {(2,3). (5,8).(-4,-1). (9.7), (2.1)}
B) {(2,3). (5,8).(-4-1). (9.7). (5,7)}
C) {(2,3). (5.8).(-4,-1). (9.7).(-2.1)}
D) {(2,3). (5.8).(-4,-1). (5,7), (-2,1)}
Answers
Hope this helps
Have a happy holidays
30 men repair a road in 56 days by working 6 hours daily. In how many days 45 men will repair the same road by working 7 hours daily?
Answers
Step-by-step explanation:
(30 men, 56 days, 6 hours daily)
=> (30 men, 48 days, 7 hours daily)
=> (45 men, 32 days, 7 hours daily)
Hence it will take 32 days.
If r is the radius of a circle and d is its diameter, which of the following is an
equivalent formula for the circumference C = 2 pie r?
A. C= pie d
B. C= 2 pie d
C. C=2 pie d^2
D. C = 2 pie rd
Answers
Answer:
A
Step-by-step explanation:
because r is 1/2 of d so you would have 1 d instead of 2 r
Kayla won 37 super bouncy balls
playing hoops at her school's game night
Later, she gave two to each
of her friends. She only has 7
remaining. How many friends does she have?
Answers
Answer:
15 friends
Step-by-step explanation:
37 - 7=30 so then you divide 30 by 2 which equals 15 so there is your answer.
Kaitlyn start a job that pays $8.50 per hour Caitlin's manager says that if her job reviews were favourable she can expect annual pay rate increases of $0.75 which equation represents the relationship between years on the job and pay for our
Answers
Given:
Initial pay rate = $8.50 per hour
Increase in pay rate = $0.75 per year
To find:
The equation that represents the relationship between years on the job and pay for hour.
Solution:
Let x be the number of years and y be the pay rate after x years.
According to the question,
Increase in pay rate in 1 year = $0.75
Increase in pay rate in x year = $0.75x
So, variable pay rate = $0.75x
Initial pay rate = $8.50
So, the total pay rate is
Total pay rate = Initial pay rate + Variable pay rate
[tex]y=8.50+0.75x[/tex]
Therefore, the required equation is [tex]y=8.50+0.75x[/tex].
please help me !!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
20
Step-by-step explanation:
15 is the mid so +5 is 20 thus 20 is the anser
(-2,6) and (1,-1) whats the slope
Answers
Answer:
7/-3
Step-by-step explanation:
6--1=7
-2-1=-3
Answer:
The slope is m=-7/3
m=y²-y¹/x²-x¹
m=(-1)-6/1-(-2)
m=-7/3
what is the expression for "the difference of 3 and 5times a number"?
answering
3 - 5n
(3 - 5)n
5 - 3n
Answers
Answer:
3-5n is the correct answer
D is 13. What is the length of the line.
Answers
Answer:
D
Step-by-step explanation:
You have to use pythagorean theorem to solve this.
Answer:
D
Step-by-step explanation:
use pytherogream theory
sides, 5 and 12
pytherogream triple 5, 12, 13
Evaluate the expression yz when x= 3, y=6 and z=12.
Answers
Answer: 72
Step-by-step explanation:
y=6, z=12
yz=6 x 12=72
Plz help with math plzlzlzlzl