Answer:
z = 75°
Step-by-step explanation:
You can see that CGE and FGD are vertical angles.
FGD = 15°
Now you have a 90° angle, a 15° angle, and a z° angle. They add up to 180°
105° + z° = 180°
z = 75°
Answer:
75 degrees...
Step-by-step explanation:
if you look at the diagram, the angle with 15 degrees is the same as the one opposite!
So we know that it is on a right angled corner, so all the angles here should add up to 90 degrees!
Now we do 90 degrees - 15 degrees
This gives us 75 degrees!
So x = 75 degrees!
HOPE THIS HELPS!!
Find the value of x using properties of parallel lines. answers: A) 1 B) 8 C) 5 D) 3.5
Answer:
1
Step-by-step explanation:
Answer:
B. x=8
Step-by-step explanation:
The 2 angles are consecutive interior angles, and therefore they are supplementary. This means that they add to 180 degrees.
(12x+8)+(8x+12)=180
Combine like terms. Add all the terms with a variable, then the terms without a variable.
(12x+8x)+(8+12)=180
20x+20=180
Now, solve for x by isolating x. Perform the inverse operation to both sides.
20 is being added to 20x. The inverse of addition is subtraction. Subtract 20 from both sides.
20x+20=180-20
20x=180-20
20x=160
x is being multiplied by 20. The inverse of multiplication is division. Divide both sides by 20.
20x/20=160/20
x=160/20
x=8
x is equal to 8, and B is the correct answer.
Your cousin Vinny wants to borrow $23750. He’s willing to pay you back over 8 years with simple interest. Your alternative is to invest in the $23750 into an account paying 7.75% compounded monthly.
A) How much interest would you earn in your investment if you deposit $23750 into an investment account for 8 years? Round to nearest cent.
B) What annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account? Round to nearest hundredth of a percent.
Answer:
A)You will earn $20311.62 as interest if you deposit $23750 into an investment account for 8 years.
B) The annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account is 10.69%
Step-by-step explanation:
We are given that Your cousin Vinny wants to borrow $23750. He’s willing to pay you back over 8 years with simple interest.
Your alternative is to invest in the $23750 into an account paying 7.75% compounded monthly.
a)How much interest would you earn in your investment if you deposit $23750 into an investment account for 8 years?
Principal = 23750
Rate of interest = 7.75%
No. of compounds per year = 12
Time = 8 years
Formula : [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where A is the amount
P is the principal
r = rate of interest
n = No. of compounds
t = time
Substitute the value sin the formula :
[tex]A=23750(1+\frac{7.75}{1200})^{12 \times 8}[/tex]
A=44061.6163406
Interest = Amount - Principal
Interest = 44061.6163406-23750
Interest =20311.62
You will earn $20311.62 as interest if you deposit $23750 into an investment account for 8 years.
B)What annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account
Principal = 23750
Simple interest =[tex]\frac{P \times T \times R}{100}[/tex]
[tex]20311.62=\frac{23750 \times 8 \times R}{100}\\\frac{20311.62 \times 100}{23750 \times 8}=R\\10.69\%=R[/tex]
Hence The annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account is 10.69%
Over the first 20 games of the season, the distribution of a basketball teams scores is bell shaped with
a mean of 94 points per game and a high of 109. Over the next 10 games, the team scored 94, 110, 102,
93, 98, 99, 121, 96, 94, and 108 points. Which statement best describes the change in the team's average
number of points per game?
The statement that most adequately recounts the change in the average of the team's no. of points per game would be:
A). The new mean is greater than the previous mean.
Given,
[tex]Mean = 94[/tex]
Now,
The points per game [tex]= 94, 110, 102, 93, 98, 99, 121, 96, 94, and 108[/tex]
New mean = (sum of observations)/No. of observations
[tex]= 1015/10[/tex]
= [tex]101.5[/tex]
Since [tex]101.5[/tex] is greater than [tex]94[/tex], the previous mean.
Thus, option A is the correct answer.
Learn more about "Distribution" here:
brainly.com/question/15387239
Can someone help me out
10 = 2 + a help meeeee
Answer:
8 = a help mee
btw variables cant have spaces
:)
Answer:
A=8
It is 8 because when you subtract 2 from 10, you get 8.
If you want to check your answer, 8 + 2 is 10
Step-by-step explanation:
Hope this helps (pls brainliest)
HELP ASAP!!!! There is a clip below.
Answer:
3.125
Step-by-step explanation:
We just multiply the dimensions together and when we do so we get 3.125.
2. A city council had a proposal for a new traffic light at an intersection that had a recent
accident. The council decided to take a poll of 284 randomly selected residents and asked if
they would support the construction. Of those polled, 219 stated that they would support the
new traffic light and 45 said they would not. Identify the problem with the study.
Answer:
A non-response occurred.
Step-by-step explanation:
The study is wrong because the number of people who participated in the pole is not equal to the number of people who support the pole and the number of people who does not support the pole.
What is Survey?A survey is conducted in order to collect a piece of specific information from a group of people chosen from the entire population who denotes the entire population for those questions.
Given that the council decided to take a poll of 284 randomly selected residents.
Also, it is given that the 219 stated that they would support the new traffic light and 45 said they would not.
Now, for the pole to be true the number of people who support the pole and the number of people who does not support the pole should be equal to the number of people who participated in the pole.
Further, the total number of people who support the pole and the number of people who does not support the pole is,
Total number of people = 219 + 45 = 264
Since the number of people who participated in the pole is not equal to the number of people who support the pole and the number of people who does not support the pole. Therefore, the study is Wrong.
Learn more about Survey here:
https://brainly.com/question/17373064
#SPJ2
Help me please!! Anyone
Answer:
180-88
92
Step-by-step explanation:
x=92
Answer:
I think its 92
Step-by-step explanation:
Supplementary angles always add up to 180
Martina read that approximately 10% of all people are left-handed. She wants to design a
simulation to approximate the probability of selecting exactly 2 right-handed people when 3
people are randomly selected.
Part A
In the simulation, Martina has a spinner with sections of equal size. One section is labeled "L"
(left) and the rest of the sections are labeled "R" (right).
For this simulation to be as accurate as possible, what is the total number of
sections that the spinner should have?
Answer:
15%
Step-by-step explanation:
I know its not 3 or 4, is it 1 or 2 pls explain how u got it ASAP i always give brainliests and thx i am really stumped
Help please! I appreciate all of you people helping me:))
Answer:
∠ b = 12°
Step-by-step explanation:
Complementary angles sum to 90°, thus
a + b = 90 ← substitute a = 78
78 + b = 90 ( subtract 78 from both sides )
b = 12
That is ∠ b = 12°
If P(-4,-2) and Q(1, -3) represent points in a coordinate
plane. If Q is the midpoint of segment PM, find M.
O (6,-4)
o(-5, -5)
O(-4,6)
(3,1)
Answer:
the answer is (6, -4)
Step-by-step explanation:
One of the advantages to an employer of paying employees fuoco rate or commission is that the employee is paid based on
their performance What is one disadvantage of this type of pay?
Answer:
Becomes too focused on earning commission
Step-by-step explanation:
A person can become to focused on earning the commission to the exclusion of the best interests of the customer and the company.
Answer:
The employee becomes too focused on earning commission, so much so that they neglect the interests of the company they work for and its clients.
Hope this helps!
What is the distance from
23, 5) to (33, -12)
Answer: 19.723083
Step-by-step explanation:
HELPPPPPPP PLEASEEE!!!
Answer: A. (-1,-10)
The x-coordinate of the vertex can be calculated using [tex]x=-\frac{b}{2a}[/tex].
According to the equation given a = 1, and b = 2.
[tex]x=-\frac{b}{2a} =-\frac{2}{2(1)}=-\frac{2}{2} =-1[/tex]
The y-coordinate of the vertex can be calculated by subbing in the x-value from the previous equation (x = -1) for x, and solving for y.
[tex]y=x^{2}+2x-9=(-1)^{2}+2(-1)-9=1-2-9=-10[/tex]
∴ the vertex is (-1,-10).
Blake used b blocks to build a bridge. Bridget used 6 more than 3 times as many blocks as Blake did to build a bridge. Which expression represents how many blocks Bridget used?
A) b+(3x6)
B) b+3+6
C) 3(b+6)
D) 3b+6
Answer:
c
Step-by-step explanation:
Answer: D
Step-by-step explanation:
Three times is 3 x b + 6
Mr. Cho made a two-way table to describe members of his family. Which could describe the row and column headings for Mr. Cho’s table? whether the relative was born in Korea; whether the relative speaks Korean whether the relative was born in Korea; what their favorite Korean meal is what city in Korea is their favorite; whether the relative speaks Korean what city in Korea is their favorite; what their favorite Korean meal is
Answer:
A is correct
Step-by-step explanation:
The person above me is correct that why it have 4.7 rating
whether the relative was born in Korea; or whether the relative speaks Korean could describe the row and column headings for Mr. Cho’s table.
What is a two-way frequency table?A two-way or contingency table is a statistical table that shows the observed number or frequency for two variables, the rows indicating one category and the columns indicating the other category.
Given, Mr. Cho made a two-way table to describe members of his family.
Items in the row are aligned from left to right, even as columns are aligned from pinnacle to bottom. A row is a horizontal alignment of information, even as a column is vertical. Data in a row carries records that describe an unmarried entity, even as information in a column describes a subject of records all entities possess.
Since Mr. Cho wants to describe his family in a proper way
Thus, he needs to Represent in such a form that every quality can be expressed evenly.
Therefore, whether the relative was born in Korea; or whether the relative speaks Korean could describe the row and column headings for Mr. Cho’s table.
Learn more about two-way frequency tables here:
https://brainly.com/question/29766382
#SPJ2
9a. Which equation is set up correctly
to solve for x in the following
diagram?
7 + 18x
20.x - 5
1) 20x - 5+ 7 + 18x = 90
2) 20x - 5 + 7 + 18x = 180
3) 20 X - 5 = 7 + 18x
4) 20x - 5 + 7 + 18x = 360
help me please asap!!!!!
Answer:
x=10
Step-by-step explanation:
In order to solve this equation we must break it down. This question is going to require the Pythagorean theorem [tex]a^{2} +b^{2}=c^{2}[/tex]. To use this we need a right triangle which happens to be half of the triangle shown. Now we can plug in the numbers.
[tex]7^{2}+\frac{1}{2} x^{2} =\sqrt{74}^{2}[/tex]
[tex]49+\frac{1}{2} x^{2} =74[/tex]
[tex]\frac{1}{2} x^{2} =25[/tex]
[tex]\frac{1}{2} x=5[/tex]
[tex]x=10[/tex]
This ends in x equaling 10. I hope this helps you!
What is (-4,4) reflected on the x-axis
Answer:
(-4, -4)
Step-by-step explanation:
When reflecting coordinates onto x-axis, x sign doesn't change, y sign changes.
Answer:
(4,-4)
Step-by-step explanation:
That is the answer because it is like you are flipping the object so the opposite of -4 is 4 and the opposite of 4 is negative 4.
The bowl of a circular birdbath has an inside diameter of 18 inches, as shown in the drawing belon.
When the bowl of the birdbath is full, which of the following is the closest to the area of the top surface of the water? Use 3.14 for 1.
1017 square inches
254 square inches
113 square inches
57 square inches
Help plsss
Answer:
254 square inches
Step-by-step explanation:
A=pi*r^2
A=pi*(d/2)^2
A=3.14*(18/2)^2
A=3.14*(9)^2
A=3.14*81
A=254.34 in^2
So, rounded no the nearest whole, the answer is 254 in^2
Which is option 2 or B
Each exterior angle of a regular polygon is 24º.
How many sides does the polygon have?
Answer: 360 / 24 = 15
Step-by-step explanation :
Since the sum of the exterior angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equal exterior angles and therefore 15 vertices and sides to the polygon.
15 sides
The polygon has 15 sides
360/24=15
the length of segment TQ= 29. explain how to find the length of segment QV. make sure to put the sentence in this form. statement then the because.
helpppp ):
Answer:
Length of segment QV = 35 units
Step-by-step explanation:
As shown in the figure attached,
Diagonals of TQVS are perpendicular to each other. Therefore TQVS will be a kite. By the property of a kite,
"There are two pairs of the sides which are equal in measure."
Therefore, TS ≅ TQ and SV ≅QV
Since TS ≅ TQ,
3x + 2 = 29 [Given: TQ = 29 units]
3x = 29 - 2
3x = 27
x = 9
Another pair of the consecutive sides is,
SV ≅ QV ≅ (4x - 1)
By substituting the value of x,
QV = (4 × 9) - 1
= 36 - 1
= 35 units
Therefore, length of segment QV = 35 units
Ellen thinks that if a line has no slope, then it never touches the y-axis. Which line proves that her statement is incorrect?
A. x = 0
B. y = 0
C. x = 1
D. y = 1
Answer:
Option D
Step-by-step explanation:
A horizontal line has no slope. The equation 'y=1' graphs as a horizontal line. It passes (0,1). So, it touches the y-axis.
A line with an undefined slope does not touch the y-axis. It is vertical.
Option D should be the correct answer.
Find the area of the kite.
Answer:
30 m
Step-by-step explanation:
We use the area of a kite which is diagonal 1 multiply it by diagonal 2 then divide by two
Ok, sorry, I'm back hehe >:3 (Find the volume of a right cone that has the radius of 4 inches and the height of 12 inches) (Again, will give brainliest to first responder, and if CORRECT!) TwT
In "The Gift of the Magi," O. Henry most likely uses the irony of the couple’s gifts to express the theme thatWhat number should be added to both sides of the equation to complete the square? x2 – 10x = 7
Answer:
Step-by-step explanation:
To complete the square, divide that 10 in the 10x by 2, then square that answer.
10/2 = 5
5^2 = 25
Add 25 to both sides
Factor completely 3x2 − 11x + 8
A. (x + 4)(3x - 2)
B. (x − 2)(3x − 4)
C. (x + 1)(3x − 8)
D. (x − 1)(3x − 8)
Answer:
The Answer is D. (x - 1) (3x - 8)
Step-by-step explanation:
So, we start with [tex]3x^2 - 11x +8[/tex].
First step is to break the expression into groups, by doing this, you get:
[tex]\left(3x^2-3x\right)+\left(-8x+8\right)[/tex]
Next, factor out the 3x from [tex]\left(3x^2-3x\right)[/tex]. By doing this, you should get:
3x(x - 1)
Then, factor out the 8x from [tex]\left(-8x+8\right)[/tex]. By doing this, you will get:
-8(x - 1)
Last, factor out the common term, x - 1, When you do this, you get:
(x - 1) (3x - 8)
Hope this helps!
Answer:
D.(x − 1)(3x − 8)
Step-by-step explanation:
Which system type is a linear system with infinitely many solutions?
A. Consistent dependent
B. Inconsistent
C. Consistent independent
D. Inconsistent dependent
Answer: C
Step by step explanation-
Answer:
A
Step-by-step explanation:
It is consistent dependent system , since:
inconsistent has no solutions
consistent independent has one solution,
while...
consistent dependent means that two linear functions are merged into a single line, and they always cross, giving an infinite number of solutions to the linear system
The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y-3 = {(x - 1). What is the slope-intercept form of the equation for this line?
O y = 2 x + 2
O y = 2 x - 4
O y = 2 x + 3 / 3
O y = 1/2 x - 1 / 2
Answer:
y=1/2x - 1/2
Step-by-step explanation:
Slope intercept form is y=mx+b
The m is the slope of the line and the b is the y-intercept.
You must first the slope. The formula of a slope is (y1-y2)/(x1-x2). In this example it is (-2-3)/(-9-1) which equals 1/2. By order of elimanation we can see that y=1/2x-1/2 is correct.