Answers
Answer:
x=38 degrees, y=41 degrees, z=97 degrees
Step-by-step explanation:
The Triangle Angle-Sum Theorem states that all interior angles of a triangle will add up to 180 degrees.
Look at the triangle to the right. The missing value of x will complete the theorem, therefore the equation 59+83+x=180 will find x. x=38 when we solve the equation.
The triangle on the left has two missing variables, but since angles z and 83 degrees are supplementary to each other, we can make another equation z+83=180 since supplementary angles add up to 180 degrees. z=97 when we solve the equation.
Since we have z, we can now find the value of y given the Triangle Angle-Sum Theorem. The equation would be 42+97+y=180 so we can solve for y. y=41 when we solve the equation.
Answer:
x=38
z=97
y=41
Step-by-step explanation:
Related Questions
F(x) = 2x^3 + 4x^2 , find f(-3)
Answers
Answer:
Step-by-step explanation:
54
DMC Inc. Is planning to issue a $1,000 face value bond with an annual coupon rate of 10% that matures in 20 years. DMC is planning to pay semiannual interest payments. Similar DMC bonds are quoting at 95% of par. What is yield to maturity for this bond?
Answers
Answer: 10.6%
Step-by-step explanation:
Given the following :
Face value (FV) = $1000
Coupon rate (C) = 10% paid semianually
Time to maturity = 20 years ; number of periods =( 20 * 2) = 40 (Semi-annual)
Current trading price of bond = 95% * 1000 = $950
Payment per period = (10%) / 2 * 1000 = 0.05 * 1000 = 50
Inputting the parameters above into the the yield to maturity calculator with semiannual payment,
Yield to maturity (YTM) = 10.6%
What is the equation in slope-intercept form of the line that passes through the points(-4,2) and (12,6) .
Answers
Answer:
y=0.5x
Step-by-step explanation: Plot the points then draw the line to then use the slope formula y=mx+b m is slope which is 1/2 which is 0.5, you can use either, and b is the y-intercept which is (0,0)
A water hose discharges water at a rate of 45 gallons per minute. Which graph has a slope
that best represents this rate?
Answers
Answer:
F
Step-by-step explanation:
F is the correct graph because the bottom is for minutes and if you drag your finger on the 1 minute you meet 45 which is how many gallon per minute. and if you go to 2 minutes you meet with 90 which is 45+45=90 and 45 is one minute and 90 is 2 minutes.
srry if that was complicated
Hope this helps you!
The graph which best represents the rate of discharge given is graph F.
It is given that discharge rate of a water hose is 45 gallons per minute.
We have to check which graph has a slope that best represents this rate.
What do you mean by discharge rate of water ?
Discharge rate of water is defined as the rate at which drainage water is released from a site.
As per the question ;
The rate of discharge = 45 gallons per minute
So,
We can say that ;
When x = 1 minute
y = 45 gallons
We can conclude that F is the correct graph because the x-axis is for minutes and if you check at time 1 minute you get 45 gallons at the y-axis which shows the no. of gallons per minute.
Thus , the graph which best represents the rate of discharge given is graph F.
To learn more about rate of discharge click here ;
https://brainly.com/question/27401697
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NEED ANSWER ASAP!
How much time will Alex need to walk to his school, which is 2 1 4 miles away from his house, if he would walk with the speed of 3 mph?
I WILL MARK BRANIEST
Answers
Answer:
t=0.57h
Step-by-step explanation:
2. A boy had to travel a distance of 12 kilometers on his bicycle. He stopped to rest after 4
kilometers. He stopped to have lunch after another 3 kilometers. How far did he still he still have to go?
Answers
4+3 = 7 km 12-7 = 4 therefore he still has 4 km to go
12 total
4+3=7
12-7=5
5km left
The owner of an art supply store buys tubes of magenta oil paint for $10.80 and marks up the cost by 10% to determine the retail price. The tubes of paint do not sell well, so the owner marks down the retail price by 20%.
To the nearest cent, what is the marked-down price of a tube of magenta oil paint?
Answers
Answer:
10.80 - 20 percent equals 8.64
Step-by-step explanation:
Answer: it’s 8.19
Step-by-step explanation:
Question 2
Select all the ratios that are equivalent to 10:6.
A
5:3
B
20:6
С
6:10
D
12:8
Which are equivalent to 10:6
Answers
Answer:
letter a
Step-by-step explanation:
There are 13 boys and 17 girls in grade 7.
is the ratio of boys to girls in grade 7
Answers
Answer: 13:17
Step-by-step explanation: boys:girls
M∠LON=77 ∘ m, angle, L, O, N, equals, 77, degrees \qquad m \angle LOM = 9x + 44^\circm∠LOM=9x+44 ∘ m, angle, L, O, M, equals, 9, x, plus, 44, degrees \qquad m \angle MON = 6x + 3^\circm∠MON=6x+3 ∘ m, angle, M, O, N, equals, 6, x, plus, 3, degree
Answers
Answer:
Step-by-step explanation:
Given
<LON = 77°
<LOM = (9x+44)°
<MON = (6x+3)°
The addition postulate is true for the given angles since tey have a common point O:
<LON = <LOM+<MON
Since we are not told what to find we can as well look for the value of x, <LOM and <MON
Substitute the given parameters and get x
77 = 9x+44+6x+3
77 = 15x+47
77-47 = 15x
30 = 15x
x = 30/15
x = 2
Get <LOM:
<LOM = 9x+44
<LOM = 9(2)+44
<LOM = 18+44
<LOM = 62°
Get <MON:
<MON = 6x+3
<MON = 6(2)+3
<MON = 12+3
<MON = 15°
Answer: 15° is right on khan academy
LOOK AT THE IMAGE ABOVE to solve the problems. Please only answer if you KNOW.
Show full steps please.
It’s due today!
Answers
Answer:
The lines are parallel
Step-by-step explanation:
The slopes are the same
The equations are both written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
-3/5 is the slope in both equations
When the slopes are the same the equations are parallel
They have different y intercepts, so they are different lines ( if they have the same y intercept and same slope, they would be the same line)
Write a ratio for the model that compares the symbols ☺ to ☼. Simplify if possible.
☺☺☺☺☺ ☺☺☺☺☺ ☺☺☺☺☺
☼☼☼☼☼
Answers
Answer:
3:1
Step-by-step explanation:
There are 15 smiley faces & 5 stars so you just have to simplify them.
It is estimated that the distance traveled by each volunteer driver at the Huntington VA Medical Center is normally distributed with a mean of 50 thousand miles and a standard deviation of 12 thousand miles each year. What percentage of drivers can be expected to travel either below 30 or above 60 thousand miles in a year?
Answers
Answer: 25.08%
Step-by-step explanation:
Given: Distance traveled by each volunteer driver is normally distributed.
Mean ([tex]\mu[/tex]) = 50 thousand miles
standard deviation ([tex]\sigma[/tex])= 12 thousand miles
Let X = distance traveled by each volunteer driver
Required probability : [tex]P(X<30)+P(X>60)[/tex]
[tex]=P(\dfrac{X-\mu}{\sigma}<\dfrac{30-50}{12})+P(\dfrac{X-\mu}{\sigma}>\dfrac{60-50}{12})\\\\=P(z<-1.67)+P(z>0.83)\ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\= (1-P(z<1.67))+(1-P(z<0.83)\ \ \ [P(Z<-z)=1-P(Z<z)=P(Z>z)]\\\\= 2- P(z<1.67)-P(z<0.83)\\\\= 2- 0.9525-0.7967=0.2508\ \ [\text{By p-value table}][/tex]
Hence, percentage of drivers can be expected to travel either below 30 or above 60 thousand miles in a year = 25.08%
Which of the following statements are true about the polynomial?
7x^3y+10x^2y^3+13xy^2+14
A.The degree is 4.
B.This expression is called a trinomial.
C.The leading coefficient is 10.
D.The constant term is 7x3y.
Answers
Answer:
b
Step-by-step explanation:
dilations increase the measure of angles
true or false
Answers
I hope this helps! Please comment if you have any questions.
Toni is a plumber she charges 30$ to come to a house and 20 $ for every hour she works write an equation to model the situation
Answers
Answer:
y=20x+30
Step-by-step explanation:
30 is the cost she charges to come to the house, 20 is the amount she charges for every hour she is there
Step-by-step explanation:
the answer is y=20x+30
Which point represents the fraction 7/10?
M
K
J
L
Answers
HELP ME!!!! IM SO BAD AT THIS STUFF. 7TH GRADE MATH! 2 PARTS TO THIS
Answers
Answer:
1. 20%incresse
2. 20%incresse
3. 100%incresse
4.20% decresse
Step-by-step explanation:
For a continuous probablity distribution, 0 ≤ x ≤ 15. What is P(x > 15)
Answers
If the support of the distribution is 0 ≤ x ≤ 15, then P(x > 15) is always 0
Plz help me fast !!!!
Answers
answer:
$4.24
explanation:
hope this helped <3
if I join the gym for a start up fee of $40 and a monthly fee of $10, what is the range?
Answers
= 30
Hope this helps
The predicted calories in food items based on grams of fat are represented by the residual plot.
What does the pattern in the residual plot indicate about the type of model?
A. The pattern is random, indicating a good fit for a nonlinear model.
B. The pattern shows the points are far from the zero line, indicating a good fit for a linear model.
C. The pattern is random, indicating a good fit for a linear model.
D. The pattern shows the points are far from the zero line, indicating a good fit for a nonlinear model.
E. The pattern is random, indicating that the model is unable to be determined.
Answers
Answer:
The correct option is;
C. The pattern is random, indicating a good fit for a linear model
Step-by-step explanation:
A graph that has the residuals (the difference between the value observed and the value expected (regression analysis) on the vertical axis and the variable that is not affected by the other variables (independent variable) on the x or horizontal axis is known as a residual plot
A linear regression model is suited in a situation where the points are dispersed randomly on both sides of the horizontal axis
Therefore, given that the first point is below the horizontal axis and the next point is above the horizontal axis, while the third and the fourth points are below the horizontal axis, the fifth, sixth, and seventh points are above the horizontal axis and the eighth point is below the horizontal axis, the points are random around the horizontal axis, indicating the suitability of a linear regression model.
Answer:
C. The pattern is random, indicating a good fit for a linear model.
Step-by-step explanation:
Took the test. It's 100% correct.
What is the X input if Its (1,5) (2,12) (3,19) (X,26) what is X?
Answers
Answer:x=4
Step-by-step explanation:
the rule is for each time x is increased by one y increases by 7
like 5+7=12
12+7=19
19+7=26
so
1+1=2
2+1=3
3+1=4
4 is the answer
Franco begins to save for a new Lego set that costs $65. His parents gave him $35 towards the cost
and he plans to save $5 per week. Define all unknown variables. Write an equation modeling the total
amount he has saved.
Answers
Answer:
65-35=30
30 divided by 5 = 6
Step-by-step explanation:
First you have to subtract 65-35, which equals 30.
Then the problem says he plans to save 5 each week. That means he should get his lego set in 6 weeks, because 30 divided by 5 = 6
65-35=30
30 divided by 5 = 6
Triangle ABC is reflected across the x-axis, and then across the y-axis. Which rotation is equivalent to this composition of transformations?
Answers
Answer:
C) 180 degree rotation
Step-by-step explanation:
I hope this helps you :)
Evaluate (18)^2-(15)^2
Please show working.
Answers
Answer:
99
Step-by-step explanation:
You can solve it by Squaring/multiply 18 by itself and 15 by itself then subtract them both:
(18 × 18) - (15 × 15)
324 - 225
99
You could also do difference of two squares:
(x² - y²)
= (x + y) (x - y)
= (18 + 15) (18 - 15)
= (33) (3)
= 99
Answer:
99Step-by-step explanation:
Evaluate
= (18)^2-(15)^2
= 324 - 225
= 99
!!Please answer and don’t give me the wrong answer!!
bentonville high school’s student council is planning a fundraiser. a local coffee shop has agreed to make a flag donation of $500 and also give a percent of their total sales over a specified weekend. the total donation can be modeled by the function rule D(s)=500+0.05s, where s represents the total sales at the coffee shop during the fundraising weekend in dollars. find the value of D(2750), showing your work. What does this quantity mean in the context of the problem solution
Answers
Answer: D(2750) = 637.5
if total sales = $2750 then total donation = $637.5
Step-by-step explanation:
GIven: A local coffee shop has made a flat donation of $500 and also give a percent of their total sales over a specified weekend.
The total donation can be modeled by the function rule D(s)=500+0.05s,
where s = total sales at the coffee shop during the fundraising weekend in dollars.
Now, D(2750) = 500+0.05(2750)
= 500+ 137.5
= 637.5
i.e. if total sales = $2750 then total donation = $637.5
PLS HELP ME! i'm so slow -.-
Answers
Answer:
128
Step-by-step explanation:
it is a reflection and goes to the other side
convert 0.00049 to scientific notation.
A) 4.9 • 10^3
B) 4.9 • 10^4
C) 4.9 • 10^-3
D) 4.9 • 10^-4
Answers
Answer:
D
Step-by-step explanation:
Answer:
D)4.9 x 10^-4
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
please answer this I leave good reviews
Answers
Answer:
C
Step-by-step explanation:
Showed the values of Babylonian society
