Answers
Answer:
∠QPR = 40°
Step-by-step explanation:
According to the question the line PQ ⊥ PS which means that they both are perpendicular angles. Perpendicular angles are always 90°, so,
∠QPR + ∠RPS = 90°
=> 7x - 9° + 4x + 22° = 90°
=> (7x + 4x) +(22 - 9)° = 90°
=> 11x + 13° = 90°
=> 11x = 90° - 13°
=> 11x = 77°
=> x = 77/11
=> x = 7
So, now that we have x, we can find ∠QPR,
7x - 9°
=> (7 * 7 - 9)°
=> (49 - 9)°
=> 40°
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Thank You!!
Related Questions
Use technology to solve the following problem: The lifetime of a certain type of automobile tire (in thousands of miles) is normally distributed with mean μ = 38 and standard deviation σ = 7. What proportion of tires have lifetimes between 36 and 46 thousand miles?
Answers
Answer:
0.4859
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score,
μ is the population mean, and
σ is the population standard deviation.
From the question:
mean μ = 38,000
standard deviation σ = 7,000
For.
36 ( thousand miles) = 36,000
z = (x-μ)/σ
z = 36,000 - 38,000/7000
z = -0.28571
Probability value from Z-Table:
P(x = 36000) = 0.38755
For 46 thousand miles = 46,000
z = (x-μ)/σ
z = 46,000 - 38,000/7000
z =1.14286
Probability value from Z-Table:
P(x = 46000) = 0.87345
The proportion of tires that have lifetimes between 36 and 46 thousand miles is calculated as:
P(x = 46000) - P(x = 36000)
0.87345 - 0.38755
= 0.4859
Phil Dunphy, a real estate agent, is considering whether he should list an unusual $262,023 house for sale. If he lists it, he will need to spend $3,111 in advertising, staging, and fresh cookies. The current owner has given Phil 6 months to sell the house. If he sells it, he will receive a commission of $19,752. If he is unable to sell the house, he will lose the listing and his expenses. Phil estimates the probability of selling this house in 6 months to be 40%. What is the expected profit on this listing?
Answers
Answer: $4,789.80
Step-by-step explanation:
If Phil is able to sell the house, the profit he makes will be;
= Commission - expenses
= 19,752 - 3,111
= $16,641
If he is unable to sell in 6 months he will lose $3,111.
His expected profit will be a weighted average of the two possibilities;
= (40% * 16,641) + ( 60% * -3,111)
= 6,656.40 + (-1,866.6)
= $4,789.80
The bowling lanes charge an hourly fee for bowling and $2 to rent shoes for the day. Gerry rented shoes and bowled for 2 hours and was charged $12
Which equation represents the cost, f(x), of bowling as a function of x, the number of hours of bowling?
O f(x) = 4x + 3
Of(x) = 2x + 2
Of(x) = 5x - 2
Of(x) = 5x + 2
Answers
Answer:
d) f(x) = 5x + 2
Step-by-step explanation:
First we need to identify the variables and how they fit into the equation. in this case we know that the equation is f(x) = mx + b where f(x) is the total cost, m is the hourly cost, x is the number of hours bowled, and b is the price of the shoes.
Now, we need to solve for the hourly cost, so to do this we plug in all the known information to get 12 = m(2) + 2
To solve we need to isolate the variable by first subtracting 2 on both sides to get 10 = m(2) and then dividing both sides by 2 to get 5 = m.
Finally, since we now know that the hourly cost is $5 we can plug this information back into the equation to get f(x) = 5x + 2
5, 6, 7 8,? Plzzzzzzzz
Answers
Answer:
5. perpendicular
6. neither
7. parallel
8. perpendicular.
Step-by-step explanation:
i used the slope formula to compare them. it's easier than graphing if you want to be exactly sure of your answers
How do you show that an inequality is true on a number line?
Answers
The system shown below is
.
3x – 4y = 12
6x – 8y = 21
Answers
Answer:
inconsistent
Step-by-step explanation:
Answer:
inconsent
Step-by-step explanation:
Jamie borrowed $361.75 from his uncle,
who has agreed to charge him a monthly
simple interest rate of 2.5%. Jamie pays
his uncle back in 7 months.
Answers
Answer:
Jamie will pay back a total of 370.79
Step-by-step explanation:
361.75 x 1.025
Simple interest is not compounded so just multiply the borrowed amount by
1 + .025
He pays 370.28125.
What is Simple Interest?Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.
Given:
Jamie borrowed = $361.75
Simple interest = 2.5%
As, Simple interest is not compounded.
so,
361.75 x 1.025
=370.28125
Hence, he pays 370.28125.
Learn more about simple interest here:
https://brainly.com/question/25845758
#SPJ2
3.A normal bus carries x passengers.
A large bus will carry twice as many passengers than the normal bus
A small bus will carry 8 passengers less than the normal bus.
Altogether the buses carry 128 passengers.
(a) Form a simplified equation in terms of x
Answers
Answer: A) 4x -8 = 128
Step-by-step explanation:
We will represent the amount that the normal bus carries by n= x
We will represent the amount that the large bus carries by l = 2x
We will also represent the amount that the small bus carries by s = x-8
Now add them to equal to 128.
x + 2x + x -8 = 128
4x -8 = 128
3. Subtract 1.7 - 0.8 = _____ tenths - _____ tenths = _____ tenths = ______ what are the tenths
Answers
Answer:
17 tenths - 8 tenths=9 tenths
Step-by-step explanation:
1.7 tenths is 17 tenths, we can see that by multiplying 1.7x10 to get 17
dot he sam with 0.8 to get 8 tenths
ti find the answer, subtract the units. 17-8=9
I need help !!
Don’t understand it..
Answers
Answer:
d
Step-by-step explanation:
Answer:
B. h(x)=(x+1) (10x-1)
Step-by-step explanation:
B. h(x) = (x+1) (10x-1)
h(x)=10x^2+10x-x-1
h(x)=10x^2+9x-1
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Answers
Answer:
y = -3x - 8
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
slope m = -3
y-intercept = -8
Step 2: Plug into equation
y = -3x - 8
HELP PLEASE BRAINLESS ANSWER GETS 20 POINTS
An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Using d for distance in kilometers and t for number of hours, an
equation that represents this situation is d-50t.
Enter the smaller of the two constants of proportionality.
Answers
Answer:
t=8
Step-by-step explanation:
400 divided by 50 hopefully that helps with your question
Prove the following statement directly from the definitions. The difference of any two rational numbers is a rational number. Proof: Suppose r and s are any two rational numbers. By definition of rational, r
Answers
Answer:
- Integers, b ≠ 0 and d ≠ 0.
- r - s = (ad - bc)/bd.
- products and differences of integers are integers.
- zero product property
- quotient.
Step-by-step explanation:
Rational numbers are integers that can take the form of numerator divided by a denominator, that is to say in the form of 'a/b;. So, we are given from the question or problem to prove and fill in the gap the correct information or data:
For the first part of the question:
The missing data in the gap = Integers; b ≠ 0 and d ≠ 0. That is to say the denominators can not be zero or say that the denominators are non zero. This is one of the properties or let us say one of the ways of identifying a Rational number.
For the second part:
The missing data in the gap = a/b - c/d = (ad - bc)/bd. This is the representation in a simplified form.
For the third part:
The missing data or information = products and differences of integers are integers.
For the fourth part:
The missing data or information: zero product property, that is to say the product of the numerators is not equal to zero, or it is non zero.
For the fifth part:
The missing data or information: quotient. r - s is a quotient of two integers.
How do you do this question?
Answers
Answer:
Diverges
Step-by-step explanation:
an = 7 / n^(1 + 1/n)
As n approaches infinity, an approaches 7 / n.
bn = 7 / n
Apply Limit Comparison Test.
lim(n→∞) an / bn
= lim(n→∞) [7 / n^(1 + 1/n)] / (7 / n)
= lim(n→∞) n / n^(1 + 1/n)
= lim(n→∞) 1 / n^(1/n)
= lim(n→∞) 1 / n⁰
= 1
The limit is greater than 0, and bn diverges, so an also diverges.
Find all the zeros of f(x) = 2x^4 − 5x^3 − 5x^2 + 20x − 12
Answers
Answer:
x=-2 x=2 x = 1/2 x=3
Step-by-step explanation:
f(x) = 2x^4 − 5x^3 − 5x^2 + 20x − 12
Graph
We see that there is a zero at -2
Using synthetic division
-2 2 -5 -5 20 -12
-4 18 -26 12
------------------------------
2 -9 13 -6 0
This gives us ( x+2) ( 2x^3 -9x^2 +13x -6)
We see that there is a zero at 2
Using synthetic division ( 2x^3 -9x^2 +13x -6)
2 2 -9 13 -6
4 -10 6
------------------------------
2 -5 3 0
This gives us ( x+2) ( x-2) ( 2x^2 -5x+3)
We can factor ( 2x^2 -5x+3)
( x+2) ( x-2) ( 2x -1) ( x-3)
Using the zero product property
( x+2)=0 ( x-2)=0 ( 2x -1)=0 ( x-3)=0
x=-2 x=2 x = 1/2 x=3
Carmine paid an electrician x dollars per hour for a 5-hour job plus $70 for parts. The total charge was $320. Which equation can be used to determine how much the electrician charged per hour? (Tek 7.10A)
Answers
Answer:
First one (5x=320-70)
Step-by-step explanation:
If she paid 70$ for parts, then you have to subtract it from 320$ because that is the total. Therefore, 5x will be equal to 320-70 or 5x=320-70 :)
Solve the equation 3 + x/-2 =10
Answers
3+x/-2 =10
x/-2 = 10-3
x/-2 = 7
x = 7*-2
x = -14
Answer:
x= -14
Step-by-step explanation:
Coweta Nutrition sells shakes for $3.39 each. They also sell tea for $2.50. If Mrs.
Morgan bought 1 tea and spent $19.45 this week, not including tax, how many
shakes did she buy?*
Answers
Answer:
she bought 5 shakes
Step-by-step explanation:
shakes: $3.39
tea: $2.50
2.50 + 3.39s = 19.45
3.39s = 16.95
s = 16.95 ÷ 3.39
s = 5
Check:
2.50 + 3.39(5) = 19.45
or
2.50 + 3.39 + 3.39 + 3.39 + 3.39 + 3.39 = 19.45
sixteen people wore white socks. The ratio of those who wore white socks to those who wore black socks 1:2. How many people wore black socks?
Answers
Answer:
It should be 32.
Step-by-step explanation:
what is 6 4/9 as a impropor fraction
Answers
4 sinA + 5 sinA what is the answer of it
Answers
Answer:
9 sinA
Step-by-step explanation:
Adding them is all you can do to simplify.
Write an equation of the line passing through point P(−2, 6) that is parallel to the line x=−5.
Answers
Answer:
x = -2
Step-by-step explanation:
The line x = - 5 means it is a straight vertical line that has no slope. This means that the slope is undefined.
Now, for this line to be parallel to the line passing through point P(−2, 6), it means the line will be a vertical line too with the equation of form (x = a).
Thus, the equation of the line is x = -2
The equation of the line is given by:
[tex]x = -2[/tex]
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change.b is the y-intercept, which is the value of x when y = 0.If two lines are parallel, they have the same slope.Line x = -5 is a horizontal line, thus, it's slope is undefined.
A line parallel will also be horizontal, with undefined slope.
It passes through point P(-2,6), thus, the equation of the line is:
[tex]x = -2[/tex]
A similar problem is given at https://brainly.com/question/16302622
On a cold morning, the temperature at 7AM is -10 degrees F and rises two degrees per hour. What will the temperature be at noon?
Answer:
Equation:
Hours after 7AM (x) 0, 1, 2
Temp in F (y) -10, -8, -6
Use these for your coordinates
Answer the question, provide the equation, fill in the table and create the graph.
Answers
Answer:
it would be 60 degrees at noon
Step-by-step explanation:
Evaluate the following question:f(x) = 3x - 7 for f(10)
Answers
Answer:
f(10) = 23
Step-by-step explanation:
you plug in 10 for the x in the equation and then solve. So 3 x 10 = 30 then minus 7
Answer:
x=-1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
x=−1
The annual fundraising goal of a sports team is $100,000. So far $41,317 has been raised. How much more money is needed to reach the goal?
Answers
Answer:
58,683
Step-by-step explanation:
subtract
How much is one pound of oranges according the the chart?
Answers
Answer:
The retail price for bananas and seedless grapes has had a somewhat rockier track record over the past 25 years. Starting at 45 U.S. cents in 1995, the price of bananas per pound reached its peak in 2008, with 62 cents. In 2019, bananas cost consumers an average of 57 U.S. cents per pound. In recent years, the retail price of seedless Thompson grapes had decreased: the price stood at roughly 3 U.S. dollars per pound in 2014 and dropped to approximately 2.40 U.S. dollars in 2019.
Sales growth of fresh fruit
In 2019, sales numbers for papayas increased by roughly 15 percent in the United States, making it the type of fresh fruit that experienced the highest rate of sales growth that year. Kiwis, berries, and limes were some of the other fruit types that experienced growth in the United States, while sales percentages for apricots, oranges, and tangelos decreased considerably
Step-by-step explanation:
Answer:
1.50
Step-by-step explanation:
On the X-axis where oranges are graphed, you run until you get to 1 pound. Then you go up from the X-axis and see where it connects with the Y-axis (total cost)
Part B
Complete the table for the clementines in units of pounds and cost.
В І о
Font Sizes
А
А -
Pounds Cost
II
O
Answers
Answer:
Pounds Cost
3 $5
6 $10
9 $15
Step-by-step explanation:
I just did this one, and this was the answer.
The net of a rectangular shipping box is shown.
What is the surface area, in square centimeters, of the box?
Answers
Answer:
It would be 376.
identify the first term of the algebraic expression. Indicate whether the term is a variable or a constant term.
5y + 8b
Answers
Answer:
Someone text me on sc queenalyssa_05
Step-by-step explanation:
Answer:5
Step-by-step explanation:
Find the value of x and measure of ∠3
∠3=2x+7
∠6=6x+21
Answers
Answer:
the answer is four
Step-by-step explanation: