please help me fast , answer with explanation please!! I need answers for both
Answers
Answer:
(1) The angles are 81⁰, 76⁰, 23⁰ and y = 157⁰
(2) The angles are E = 122⁰, P = 40⁰, and Q = 18⁰
Step-by-step explanation:
(1)
Considering the first diagram;
(4x + 29) + (5x + 11) + (2x - 3) = 180 (sum of angles in a triangle)
collect like terms together;
(4x + 5x + 2x) + ( 29 + 11 - 3) = 180
11x + 37 = 180
11x = 180 - 37
11x = 143
x = 143 / 11
x = 13
The angles of this triangle are calculated as follows;
4x + 29 = (4 x 13) + 29 = 81⁰
5x + 11 = (5 x 13) + 11 = 76⁰
2x - 3 = ( 2 x 13) - 3 = 23⁰
y⁰ + (2x - 3) = 180 (sum of angles on a straight line)
y⁰ + 23⁰ = 180
y⁰ = 180 - 23
y = 157⁰
(2)
Considering the second triangle;
(15m + 17) + (7m - 9) + (4m - 10) = 180 (sum of angles in a triangle)
(15m + 7m + 4m) + (17 - 9 - 10) = 180
26m - 2 = 180
26m = 180 + 2
26m = 182
m = 182 / 26
m = 7
The angles of this second triangle are calculated as follows;
E: 15m + 17 = (15 x 7) + 17 = 122⁰
P: 7m - 9 = (7 x 7) - 9 = 40⁰
Q: 4m - 10 = ( 4 x 7) - 10 = 18⁰
Related Questions
If the mean weight of 3 outfielders on the baseball team is 201 lb and the mean weight of the 6 other players is 232 lb, what is the mean weight of the 9-person team?
Answers
Answer:
221.6667
Step-by-step explanation:
Step one is to add all of the players weight together.
- lets write an equation 3(201)+ 6(232)
Now simplify the expression, 603+1392. Add them together to get 1995 LBS
Step two is finding the mean
- The mean is adding up all the numbers and dividing by the amount. So there are 9 players and their total weight is 1995 LBS. take 1995 and divide by 9 to get your answer. This is 221.66667. Make sure to round if the question asks!!!!
A dairy needs 357 gallons of milk containing 5% butterfat. How many gallons each of milk containing 7% butterfat and milk containing 1% butterfat must be used to obtain the desired 357 gallons?
Answers
9514 1404 393
Answer:
238 gallons 7%119 gallons 1%Step-by-step explanation:
Let h represent the number of gallons of high butterfat content milk. Then 357-h will be the number of gallons of 1% milk. The total amount of butterfat in the mix is ...
0.07h +0.01(357 -h) = 0.05(357)
0.06h = 14.28 . . . . . . . . . . subtract 3.57, collect terms
h = 238 . . . . . . . . . . divide by 0.06
357-h = 357 -238 = 119
238 gallons of 7% and 119 gallons of 1% are needed.
need an answer, please need an answer, please
Answers
Answer:
[tex](x - 6)(x + 5) = {x}^{2} - x - 30 \\ or \\ a {x}^{2} + bx + c\\ {x}^{2} +( x_{1} + x_{2}) x + x_{1} .x_{2} \\ b = x_{1} + x_{2} = 5 - 6 = - 1 \\c = x_{1} .x_{2} = - 6 \times 5 = - 30 \\ \therefore \: {x}^{2} - x - 30[/tex]
you do the rest
Can someone help with this question fast ? <3
Answers
Answer:
x=7
Step-by-step explanation:
x+x+3+2x-1=30
4x+2=30
4x=30-2
=28
x=28÷4
=7
help pls!
Give some examples of taxation:
Answers
Answer:
IN THE EXPLANATION!!
Step-by-step explanation:
income tax. Capital gains tax is a tax on the sale of an investment, usually stocks, bonds, precious metals and property.
Payroll tax. FICA tax is a tax levied in the United States to fund Social Security and Medicare. ...
Property taxes. Most property taxes charge for both the value of the land and the value of any buildings or other improvements on the land.
Consumption taxes. A general tax refers to a tax that applies to all or most goods and services and where all are taxed at the same rate.
Musa is 5 years less than 3 times Amina's age. How can that be represented as an expression?
3a - 5
5•(a - 3)
5 - 3a
3•(5 - a)
Answers
Answer:
3A-5
Step-by-step explanation:
Answer:
3a-5
answer
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berapakah hasil dari 33 1/2 - 7 x 8 + 2 - 5,5 adalah, mohon bantuan nya kakak
Answers
Saya yakin jawabannya adalah -26 karena ketika Anda melakukan perkalian terlebih dahulu, kemudian lakukan pecahan 33 1/2 dan setelah itu Anda akan menambahkan 2 dan pengurangan 5,5 yang semuanya akan sama dengan -26. semoga saya benar dan ini membantu. (:
The output of a function is 5 more than -2 times the input. Write and solve an equation to find the input when the output is 11
Answers
Answer:
17 is x=6.
Step-by-step explanation:k
Consider the following two loans for P=$5,000. Loan A: 2.5 year loan, annual interest rate of 12%. Loan B: 5 year loan, annual interest rate of 6%. Both loans are paid monthly, and their interest is compounded monthly. Calculate the absolute difference between the total interest paid on both loans. Round your answer to the nearest cent.
Answers
53.5 dollars is the total interest paid on both loans.
What is Compound Interest ?
Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.
Loan A :
CI = P(1 + R/100)∧(T) - P
CI = 5000(1 + 12/100)∧(5/2) - 5000
CI = 1637.66
Loan B :
CI = P(1 + R/100)∧(T) - P
CI = 5000(1 + 6/100)∧(5) - 5000
CI = 1691.13
difference between two CI
= 1691.13 - 1637.66
= 53.47
= 53.5 dollars
Read more about Compound Interest at:
https://brainly.com/question/13001287
#SPJ2
Is x-10 a factor of f(x)=5x^3+60x^2+109x+90
Answers
Answer:
No
Step-by-step explanation:
Given values are
f(x) = 5x^3+60x^2+109x+90
x = -10.
Given Polynomial is 5x^3+60x^2+109x+90 .
= (90)+(5.x^3)+(60.x^2)+(109.x)
By putting x = (-10) we can rewrite it as
= (90)+(5.(-10)^3)+(60.(-10)^2)+(109.(-10))
= (90)+(-5000)+(6000)+(-1090)
= 0
The remainder of given polynomial is 0.
If the property tax on a $100,000 home is $1500 what is the tax on a $120,000 home
Answers
If x=19 and y=8, find y when x=38
Answers
Answer:
I think it would be 27
Step-by-step explanation:
because 8 is 11 less than 19 and you would subtract 11 from 38
A group of friends paid a total of 50.24 for tickets to the museum each friend pay the same amount for a ticket how much did each friend pay for a ticket to the museum
Answers
Answer:
50.24 ÷ number of people
Step-by-step explanation:
When you divide the total cost by the number of people there are, you will get the amount of money each person paid. Hope this helps!
Suppose a scatter plot indicates that there is a positive linear association between two quantitative variables. Which of these statements MUST
be correct about the line of best fit for the data in the scatter plot?
Answers
Answer:
As the x increases, the y increases. The line will have a positive slope.
A Scatter Plot has points that show the relationship between two sets of data and the points are plotted on horizontal and vertical axes.
The statement about the line of best fit for the data in the scatter plot is the line must have a positive slope.
What is a scatter plot?A Scatter Plot has points that show the relationship between two sets of data. The points are plotted on horizontal and vertical axes.
We have,
A positive linear association between two quantities variables.
Positive linear association means:
If one variable increases as the other variable increases.
Negative association means:
If one variable increases and the other variable decreases.
No association means:
There is no relationship between the variables.
Thus the statement about the line of best fit for the data in the scatter plot is the line must have a positive slope.
Learn more about scatter plots here:
https://brainly.com/question/13984412
#SPJ5
The complete question is:
Suppose a scatter plot indicates that there is a positive linear association between two quantitative variables. Which of these statements MUST be correct about the line of best fit for the data in the scatter plot?
The line must have a positive x-intercept.
The line must have a positive y-intercept.
The line must have a positive slope.
The line must have no slope.
What kinds of education did Martin Luther king JR have in high school and college?
Answer ASAP
Answers
Step-by-step explanation:
graduated from Booker T. Washington High School and was admitted to Morehouse College at age 15. Graduates from Morehouse college and enters Crozer Theological Seminary.
please help me with this sum
Answers
Answer:
Step-by-step explanation:
n;
Convection; Radiation; Insulation.
PLTS/Gatsby:
Effective participants;
Independent Enquirers.
Compare group 1, 7 and 8 elements.
The BIG question
is… What is the trend in reactivity in the alkali metals, halogens and noble gases
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Answer:
153, 155, 93, 31, 78, 125, 150, 87, 157, 118, 67
In any collision, an object experiences a force for a given amount of time that results in its mass undergoing a change in velocity. There are four quantities mentioned here: force, time, mass, and change in velocity. The force multiplied by the time (FX t) is known as the impulse and the mass multiplied by the velocity change (m X AV) is known as the change in momentum. The impulse experienced by an object is always equal to the change in its momentum. As a result: FXt = m X AV Mass does not change. Velocity decreases during a collision. Automobile manufacturers, such as Nissan and Toyota, incorporate safety features into their vehicles. Crumple zones in the engine compartment and air bags are two examples of safety technology designed to protect driver and passengers involved in a collision. How do these design features impact the formula above and the force of impact? They decrease the force of impact by providing a cushion during the impact.
Answers
How to calculate force?
.Inorder to calculate force we will use Newton's second law of motion.
[tex]\\ \sf\longmapsto Force=Mass\times Acceleration [/tex]
[tex]\\ \sf\longmapsto F=ma[/tex]
Here we can observe
[tex]\\ \sf\longmapsto F\propto a[/tex]
[tex]\\ \sf\longmapsto F\propto m[/tex]
What is the quotient in the simplest form ? 3/5 divided by 2/7
Answers
Can someone help me please thank you :)
Answers
Answer:
a
Step-by-step explanation:
find the force needed to lift 3000n weight using a machine with a mechanical of 15
Answers
Answer:
20N
Step-by-step explanation:
Force=3000N/15
F=600/3
F=20N
I need help, plzzzzzzzzzz 10 points
Answers
Answer:
D. 2 1/4 per hour
Step-by-step explanation:
Hope this helps also give me brainliest lol.
(-11[(3-5 to the 2nd power divided by {-2]+5
Answers
Answer:
For each object, choose an appropriate scale for a drawing that fits on a regular sheet of paper. Not all of the scales on the list will be used.
Step-by-step explanation:
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5tyenbvjfwfyqe
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bill and Andy were racing to see who could run the farthest in 5 minutes bill ran 5/8 of a mile and Andy ran 3/4 of a mile how much farther did andy run than bil
Answers
3/4 *2/2=6/8
6/8-5/8=1/8
Last quarter Rachel earned a grade of 92. This quarter she earned an 88. What is the percent decrease in her grade?
Answers
Answer:
[tex]$4.\overline{54}[/tex]
Step-by-step explanation:
The percent decrease is [tex]$92/88-1=23/22-1=1/22=4.5454545...$[/tex].
So, the answer is [tex]$\boxed{4.\overline{54}}$[/tex] percent decrease.
help me please i need this
Answers
Answer:
D. 7×10-⁷
Step-by-step explanation:
Hope this helps!!!
3. Find the difference. (1 point)
22.8 – 7.9 = ?
O 15.1
0 14.9
O 14.1
15.9
Answers
Hope this helps!! :)
Hello can some one please help me
Answers
Answer:
1
Step-by-step explanation:
This one once learned is clapz. Anything to the zero power is 1. ;)
Drag the numbers to order them from least to greatest.
0.9
2.4
0.8
1.6
0.2
Answers
Answer:
0.2
0.8
0.9
1.6
2.4
Step-by-step explanation:
I hope this helps!
0.8
0.9
1.6
2.4
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Find the slope- intercept form -5x+6y=30
Please show steps
Answers
-5x+6y=30
-5x+6x0=30
-5x+0=30
-5x=30
X=-6
Answer:
slope-intercept is 5/6x, y intercept is 5 and x intercept is -6
Step-by-step explanation:
-5x+6y=30
first you are going to move your thirty to the other side of the equation so your going to minus 30 from both sides.
-5x+6y(-30)= 30(-30)
-5x+6y-30=0
then move your y to the other side of the equation
-5x-30=6y
divide by 6 to get y alone
-5/6x -(30/6)=y
-5/6x-5=y
therefore your slope is 5/6x, your y intercept is 5 and your x intercept is -6
Grace sold 4062 ml of fruit juice in January.
She sold 1053 ml less fruit juice in January than in February.
How much fruit juice did Grace sell in February?
Leave your answer in litres and millilitres.
Answers
Answer:
she sold 5,115 ml of fruit juice and in liters is 5.115 liters