Answers
Answer:
x = 35°
∠Q = 127°
∠R = 35°
∠P = 18°
Step-by-step explanation:
x + 2x + 57 + x - 17 = 180 {Angle sum property of triangle}
x + 2x + x +57 -17 = 180 {Combine like terms}
4x + 40 = 180
4x = 180 - 40
4x = 140
x = 140/4
x = 35
∠Q = 2x + 57 = 2*35 + 57 = 70 +57 = 127°
∠R = x = 35°
∠P = x - 17 = 35 - 17 = 18°
Related Questions
The population of London is currently estimated at 8.156 million.
What is the value of the 5?
Answers
Answer:
50 , or , 10 ...................
Answer: Hundredth- thousandths
Step-by-step explanation:
Expand 8.156 million
8.156 = 8,156, 000
As you can see 5 is at the hundredth- thousands place
Consider following situation, which involves two options. Determine which option is less expensive. Are there unstated factors that might affect your decision?
You currently drive 325 miles per week in a car that gets 14 miles per gallon of gas. You are considering buying a new fuel-efficient car for S16,000 (after trade-in on your current car that gets 47 miles per gallon
premiums for the new and old car are $1000 and $600 per year, respectively. You anticipate spending $1500 per year on repairs for the old car and having no repairs on the new car. Assume gas costs $3.50 pen
ive-year period, is it less expensive to keep your old car or buy the new car?
a five-year period, the cost of the old car iss) and the cost of the new car issThus, over a five-year period, it is less expensive to
and to the nearest dollar as needed
Answers
9514 1404 393
Answer:
it is less expensive to purchase a new car
Step-by-step explanation:
The expected cost of gas, insurance, and repairs for the old car are ...
Total miles in 5 years = (325 mi/wk)(52 wk/yr)(5 yr) = 84,500 mi
Old car
Gas cost in 5 years = (84,500 mi)/(14 mi/gal)($3.50/gal) = $21,125
Insurance cost in 5 years = (5 yr)($600/yr) = $3,000
Repair cost in 5 years = ($1500/yr)(5 yr) = $7,500
Total operating cost in 5 years = $21125 +3000 +7500 = $31,625
__
New Car
Gas cost in 5 years = (84,500 mi)/(47 mi/gal)($3.50/gal) ≈ $6,293
Insurance cost in 5 years = (5 yr)($1000/yr) = $5,000
Repair cost in 5 years = (0)(5 yr) = 0
Total operating cost in 5 years = $6293 +5000 = 11,293
__
Difference in operating costs is $31,625 -11,293 = $20,332.
It is less expensive to purchase a new car for any price less than $20,300. If the new car costs only $16,000, it is the less-expensive option.
Purchase of a new car is the least-expensive option.
__
Additional comments
The cost of financing, annual license fees, and resale value of the new car may also come into play. In addition, the relative non-economic values of consumption of new materials, adding old materials to the scrap heap, and environmental pollution may figure in the decision. While the car dealer may pay for maintenance costs of a new car, it seems likely that at least one set of tires will be required in 5 years (85000 miles). (Assuming wheel alignment is not an issue for tire wear, that cost may balance out for the two cars.)
39) Solve the inequality: 4(x+5)≤116
A. x≤−51
B. x≤−40
C. x≤24
D. x≥24
Answers
Answer:
x≤24
Step-by-step explanation:
4(x+5)≤116
x+5≤29
x≤29-5
x≤24
Find all real zeros of the function y= -5x - 7.
Answers
Please this one also
Answers
Hey there!
The correct graph is A
The slope, 2, is a positive slope, which means that the graph will go left to right going up, which rules out graph B.
The y-intercept is 1, which means it will intercept the y-axis at point (0, 1). That rules out graph C.
This means that graph A is correct.
Hope it helps and have a great day!
Answer:
○ [tex]\displaystyle a[/tex]
Step-by-step explanation:
From the y-intercept of [tex]\displaystyle [0, 1],[/tex] you can either move two blocks south over one block west, or two blocks north over one block east. Either way, you are still using the rate of change [slope] correctly:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m[/tex]
I am joyous to assist you at any time.
► [tex]\displaystyle -m =[/tex] NEGATIVE RATE OF CHANGE
► [tex]\displaystyle m =[/tex] POSITIVE RATE OF CHANGE
I need help please if you can
Answers
Answer:
i really dont know
Step-by-step explanation:
i just dont
This question has 2 parts.
Part A: Matt has 2/3 yard of fishing line. He uses 3/8 of the line to make fishing knots. How much fishing line does he use to make fishing knots?
Part B: Kara says Matt uses 25/24 of the line to make knots. Explain Kara’s error and tell how to use an equation to find the amount of line Matt uses.
Answers
Answer:
um well i can do part A
Step-by-step explanation:
its 6/24 which equals 1/4 yards
Pls help I don’t know what to do and it’s due today
Answers
Answer:
it's easier if you use the scan & solve. that brainly provided for you
Step-by-step explanation:
Ryan's garden=1.3 yards wides
We know that,
1 yard=0.914 meters
so,
1.3 yards=0.914×1.3=1.1882=1.9
So,
Ryan's garden is 1.9 meters wide.
Will mark brainliest!!! Plz solve for each variable
Answers
Step-by-step explanation:
parallel
8g - 3 = 25
8g = 25 + 3
8g = 28
g = 28/8
g = 14/4
f + 30 + 72 = 180 (straight angle = 180°)
f = 180 - 30 - 72
= 78
Find two consecutive whole numbers that 34 lies between.
Answers
Answer:
34 lies in between 5 and 6
5^2=25, 6^2=36, so sqrt(34) lies between 5 and 6
find the quotient
18 ÷ 3/10
Answers
Answer: 18 ÷ 3/10 = 60/ 1 = 60
Which of the following will result in a rational answer?
O multiplying by a fraction
O adding the square root of a non perfect square to a whole number
O adding the square root of a perfect square tox
O multiplying a fraction by a repeating decimal.
Answers
I think it is going to be number 4
Probability theory provides a set of mathematical rules to assign probabilities to outcomes of random experiments, e.g., coin flips, packet arrivals, stock prices, neural spikes.
a. True
b. False
Answers
Answer: True
Step-by-step explanation:
Probability theory, is a mathematical branch that has to do with how random phenomena are analysed. To solve for probability, one has to divide the number of events aggregate by the amount of possible outcomes.
We should note that the statement in the question regarding probability theory providing mathematical rules that are assigned probabilities to the outcomes of the random experiments is said to be true.
Brian has reduced his cholesterol level by 14% after his last check up. If his original level was 180, what is his approximate cholesterol level now?
Answers
Answer:
154.8 is you answer
Step-by-step explanation:
Solve the equation.
7(1 – 8x) – 6 = 169
Answers
Answer:
x=-3
Step-by-step explanation:
rearrange terms
distribute
subtract the numbers
subtract 1 from both sides of the equation
simplify
Answer:
Step-by-step explanation:
Here you go mate
Step 1
7(1-8x)-6=169 Equation/Question
Step 2
7(1-8x)-6=169 Simplify
-56x+1=169
Step 3
-56x+1=169 Subtract 1
-56x=168
Step 4
-56x=168 Divide both sides
Answer
x=-3
Write an expression to represent each problem. Then, draw a model to solve.
1.
How many fourths are in 3 fourths?
Answers
Their are 3 fourths in 3/4. Kinda a trick question that seems too simple but it correct.
Are they the same or not
Answers
Answer:
yes they are Similar
.12 divided by 7.15 please put step by step thank you
Answers
Answer:
59.58333
Step-by-step explanation:
715/12
write in long division format ( which u did )
divide 71 by 12 to get 5
multiply 71 by 12 = 5
subtract 60 by 71
bring down the next number
115/12 =9
multiply 12 by 9
subtract 180 by 115
add a decimal on the top and bring down zero
divide 70 by 12 = 5
multiply 5 by 12
subtract 60 - 70
bring down a zero
divide 100 by 12 = 8
multiply 12 by 8
subtract 96 by 100
bring down zero
divide 40 by 12 = 3
anddd u get the point
sorry it took so long
Find the rule and the graph of the function whose graph can be obtained by performing the translation 2 units left and 3
units up on the parent function f(x)=x?
Answers
Answer:
b.
Step-by-step explanation:
1. You have the following parent function given in the problem above:
f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)
2. If you take the parent function and make y=f(x+3), then you have:
(The function is shifted 3 units left on the x-axis).
3. Then you if you make y=f(x+3)-2, as following, you obtain:
(The function is shifted 2 units down on the y-axis).
4. Therefore, that is how you obtain the final function.
The answer is the graph shown in .b
A convex polygon has 6 sides what is the sum of its interior angles 1980°.
Answers
Step-by-step explanation:
Sum of interior angles in a polygon
= 180°(n - 2), where n is the number of sides.
Hence a convex polygon with 6 sides
=> 180°(6 - 2) = 720°.
Suppose potato chips cost 22.5 cents per ounce. What would a bag of chips cost if it contained 12 oz? Round your answer to the nearest cent, if necessary
Answers
Answer:
the anser is 22.10
Step-by-step explanation:
you have to round to the nearest ten. here is a tip 4 or down round down 5 or up round up now you are good to go! and also to find me if you need help
what is the equation for the line of reflection
a. x= 3
b. y = 3
c. y = x
d. x = 6
Answers
Answer:
The answer to that question is c. y = x
How many different 3-digit numbers can be made using the digits 6, 7, and 8 if no digit is reapeated? One digit is repeated?
Answers
Answer:
You can make infinite 3-digit number using the digits 6,7 and 8. Hope it helps :)
Decide whether the slope is positive, negative, zero, or undefined.
Answers
What is the correct first step to solve this system of equations? x- 2y=3 and x+2y=6
Answers
Answer:
using elimination, the best first step is multiply the first equation by -3. multiply the second equation by 3 doesn't do anything to eliminate one of the unknowns. solving for x in the first equation or solving for y in the second equation are the substitution method, not the elimination method.
Step-by-step explanation:
Will mark brainliest!!!Solve for each variable
Answers
Answer:
n=5, m = 4
Step-by-step explanation:
It is a parallelogram so m+8 = 3m and 2n-1 = 9
3. John did 3 3/4 of his homework. Kate did 1 7/8 of her homework. How much more of their
omework did Kate do than John?
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Answers
Answer:
Kate did 15/8 part more than that of John.
Step-by-step explanation:
Given that,
John did 3 3/4 of his homework while Kate did 1 7/8 of her homework.
We need to find how much more of their homework did Kate do than John. It can be calculated as follows :
3 3/4 = 15/4
and
1 7/8 = 15/8
So,
Difference,
[tex]d=\dfrac{15}{4}-\dfrac{15}{8}\\\\=\dfrac{15}{8}[/tex]
So, the required answer is 15/8.
Marcos owns and operates a shuttle service that runs every hour and transports customers between their hotels and the city's downtown area. Let X represent the number of customers on a randomly chosen trip.
Based on previous data, here is the probability distribution of X along with summary statistics:
X = # of customers 0 1 2 3
P(X) 0.10 0.20 0.30 0.40
Mean: μx = 2
Standard deviation: σx = 1
Suppose that each trip costs Marcos $1 in fuel regardless of how many customers he has, and each customer on a trip pays him $10. Let Y represent Marcos' net gain from a randomly chosen trip. What are the mean and standard deviation of Y?
Answers
Answer:
Mean y = 19 ; SD y = 10
Step-by-step explanation:
Given that:
No of customers : __ 0 ____ 1 _____ 2 ___ 3
P(x) : ___________0.10 __ 0.20 __0.30 _0.40
Fuel cost =$1 (constant)
Amount paid per customer =$10
Number of customers = x
σx = 1 ; μx = 2
σ^2 = 1^2 = 1
Mean of Y
μy = E(Y)
= E(10x - 1)
= 10(Ex) - 1
E(x) = 2
= 10(2) - 1
= 20 - 1
= 19
σY = SD(y)
SD(10x - 1)
10*SD(x) - 1
SD(x) = 1
10(1) - 0
Note : SD of a constant = 0
10 - 0
= 10
The mean of Y is 19 and the standard deviation of Y is 10 and this can be determined by using the given data.
Given :
Marcos owns and operates a shuttle service that runs every hour and transports customers between their hotels and the city's downtown area. Let X represent the number of customers on a randomly chosen trip.Standard deviation: σx = 1 Suppose that each trip costs Marcos $1 in fuel regardless of how many customers he has, and each customer on a trip pays him $10. Let Y represent Marcos' net gain from a randomly chosen trip.The mean of Y can be calculated as given below:
[tex]\rm \mu(Y)=E(Y)[/tex]
[tex]\rm \mu(Y)=E(10x - 1)[/tex]
[tex]\rm \mu(Y) = 10E(x) - 1[/tex]
According to the given data, the value of E(x) is 2. Substitute the value of E(x) in the above expression.
[tex]\rm \mu(Y) = 10(2) - 1[/tex]
[tex]\rm \mu(Y) = 19[/tex]
Now, the standard deviation of Y can be calculated as:
[tex]\rm \sigma_Y=SD(Y)[/tex]
[tex]\rm \sigma_Y=SD(10x-1)[/tex]
[tex]\rm \sigma_Y=10SD(x)-SD(1)[/tex]
The value of SD for a constant is zero.
[tex]\rm \sigma_Y=10(1)-0[/tex]
[tex]\rm \sigma_Y = 10[/tex]
For more information, refer to the link given below:
https://brainly.com/question/12402189
If 176 dollars = 100 pounds and 1 pound = NRs. 119,
how much Nepali rupees can be exchanged with 132 dollar? find it
Answers
Answer:
NRs. 8925
Step-by-step explanation:
176 dollars = 100 pounds
132 dollars = ??? pounds
Using cross-multiplication, we get:
176 dollars x ??? pounds = 100 pounds x 132 dollars
??? pounds = (100 pounds x 132 dollars)/ 176 dollars
??? pounds = 75 pounds
Now, 1 pound = NRs. 119
So 75 pounds = NRs. ???
Using cross-multiplication again, we get:
1 pound x NRs. ??? = NRs. 119 x 75 pounds
NRs. ??? = (NRs. 119 x 75 pounds)/1 pound
NRs. ??? = NRs. 8925
So the answer is 8925 Nepali rupees
The Nepali rupees can be exchanged with 132 dollar should be considered as the NRs. 8925
Calculation of the amount:Since
176 dollars = 100 pounds
And, for 132 dollars = ??? pounds
So here we applied cross multiplication
176 dollars x ??? pounds = 100 pounds x 132 dollars
??? pounds = (100 pounds x 132 dollars)/ 176 dollars
??? pounds = 75 pounds
Also, 1 pound = NRs. 119
Now
1 pound x NRs. ??? = NRs. 119 x 75 pounds
NRs. ??? = (NRs. 119 x 75 pounds)/1 pound
NRs. ??? = NRs. 8925
Learn more about pound here: https://brainly.com/question/1929794
Please help me! (12 points)
Answers
Answer:
4
Step-by-step explanation:
25÷2= 12.50
So it would be 4 because you are trying to find the price (p) for the boots (b)
Answer:
c is correct answer is yes then please