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
2. Choose all numbers that are RATIONAL. *
1. 0
2. 5/7
3. 3.6820350285........
4. -10
Answers
Answer:
0, 5/7, and -10 are RATIONAL numbers ⇒ 1, 2, 4
Step-by-step explanation:
Rational number are the numbers can be written in the form of the fraction [tex]\frac{a}{b}[/tex] , b ≠ 0
Example:
5, -3, 5.2 , -10.567, [tex]2\frac{1}{3}[/tex] , [tex]\sqrt{64}[/tex] , [tex]-\sqrt{\frac{25}{4}}[/tex] , [tex]\frac{\sqrt[3]{8}}{5}[/tex] , .......5 can be written as [tex]\frac{5}{1}[/tex]-3 can be written as [tex]-\frac{3}{1}[/tex]5.2 can be written as [tex]\frac{52}{10}[/tex]-10.567 can be written as [tex]-\frac{10567}{1000}[/tex][tex]2\frac{1}{3}[/tex] can be written as [tex]\frac{7}{3}[/tex][tex]\sqrt{64}[/tex] can be written as [tex]\frac{8}{1}[/tex][tex]-\sqrt{\frac{25}{4}}[/tex] can be written as [tex]-\frac{5}{2}[/tex] [tex]\frac{\sqrt[3]{8}}{5}[/tex] can be written as [tex]\frac{2}{5}[/tex]All the numbers above are rational numbers
Let us find the rational numbers in our question
∵ 0 can be written as [tex]\frac{0}{1}[/tex]
∴ 0 is a rational number
∵ [tex]\frac{5}{7}[/tex] is a fraction
∴ [tex]\frac{5}{7}[/tex] is a rational number
∵ 3.6820350285........ can not be written in the form of the fraction
because we do not know its end (it is an approximated number)
∴ 3.6820350285........ is not a rational number
∵ -10 can be written as [tex]-\frac{10}{1}[/tex]
∴ -10 is a rational number
∴ 0, 5/7, and -10 are RATIONAL numbers
what are the slopes of the two lines?
green has two yellow dots.
Answers
Answer:
-7(1/7) = -1
Step-by-step explanation:
If the independent variable becomes very large what would be the expected change in the dependent variable
Answers
Answer: The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable. ... The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.
Step-by-step explanation:
The point (2,0) lies on the graph of the function y = 2x^2 - 8x + 6.
A. True
B. False
Answers
y= 2(2)^2 -8(2)+6 = 2(4)-16+6 = 16 - 16 + 6 = 6
since y=6 and not 0, the answer is B (false)
Which of the following in NOT an equation of a line parallel to the line with equation y=1/2x-6 *
y = 2/4x + 6
y = 0.5x - 3
y = 1/2x + 1
y = 2x - 4
Answers
9514 1404 393
Answer:
y = 2x - 4
Step-by-step explanation:
You want an equation with an x-coefficient that is not 1/2.
2/4 = 0.5 = 1/2
so, the first three answer choices don't meet problem requirements.
The line with equation ...
y = 2x -4
is not parallel to y = 1/2x -6.
Find the x-intercept in the function: 3x-2y =6
Answers
Answer:
x=(2,0)
Step-by-step explanation:
3x-2y=6
3x-2(0)=6
3x=6
x=2
PLASE ANSWER THIS!! MARKING BRAINLEIST
Answers
1. 59049
2. a^12
3. 8a^6
4. 16a^ 10 b^6
5. 9a^4
6. s^6 t^12
7. s^5 / t^5
8. 6561
9. s^2 t^8 / r^2
10. 81a^2 b^6
Evaluate the variable expression when a = 5, b = 5, and c = -4.
Bc divided by (2a)
Answers
Answer:
-2
Step-by-step explanation:
Bc÷2a
5×-4÷2×5
-20÷10
-2
The value of the expression bc ÷ 2a will be negative 2.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
A principle that specifies the right procedure to follow while calculating a mathematical equation is known as the activities to be conducted.
PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
The value of the variable expression when a = 5, b = 5, and c = -4.
The expression is given below.
⇒ bc ÷ 2a
Substitute the value of the variable a = 5, b = 5, and c = -4.
⇒ 5 × (-4) ÷ 2 × 5
Simplify the expression, then the value of the expression will be
⇒ - 20 ÷ 10
⇒ - 2
The value of the expression will be negative 2.
More about the Algebra link is given below.
https://brainly.com/question/953809
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find the lengths of the missing side . Simplify all radicals !!!
help mee!!!!!!
Answers
Answer:
[tex] e = 13\sqrt{2} [/tex]
[tex] f = 13\sqrt{2} [/tex]
Step-by-step explanation:
The ∆ given is an isosceles ∆ with a right angle measuring 90°, and two congruent angles measuring 45° each.
Using trigonometric ratio formula, we can find the lengths of the missing side as shown below:
Finding e:
[tex] sin(\theta) = \frac{opp}{hyp} [/tex]
[tex] sin(\theta) = sin(45) = \frac{\sqrt{2}}{2} [/tex]
hyp = 26
opp = e = ?
Plug in the values into the formula
[tex] \frac{\sqrt{2}}{2} = \frac{e}{26} [/tex]
Multiply both sides by 26
[tex] \frac{\sqrt{2}}{2}*26 = \frac{e}{26}*26 [/tex]
[tex] \frac{\sqrt{2}}{2}*26 = e [/tex]
[tex] \frac{\sqrt{2}}{1}*13 = e [/tex]
[tex] 13\sqrt{2} = e [/tex]
[tex] e = 13\sqrt{2} [/tex]
Since side e is of the same length with side f, therefore, the length of side f = [tex] 13\sqrt{2} [/tex]
Jkjjujzjzjdjfjfjjfd find f f f v. G f ddbdjfksid difícil de djkdkdid dijfndndidi diske
Answers
;-; ;-; ;-; ;-; ;-; ;-; ;-; ;-; ;-; ;-;
......................;-;
Harold balance in his savings account was $10,000. The savings account earns annual simple interest. At the end of 3 yeah, the balance of the account was $11,875. If Harold did not make additional deposits or withdrawals, what was the approximate annual interest rate on the savings account?
Answers
Answer:
In the simplest of words, $1,000 at 1% interest per year would yield $1,010 at the end of the year. But that is simple interest, paid only on the principal. Money in savings accounts will earn compound interest, where the interest is calculated based on the principal and all accumulated interest.
Step-by-step explanation:
What is the standard form of 3.457
Answers
Answer:
3.457 is already in standard form.
Step-by-step explanation:
A figure is made up of four congruent right triangles and a square as displayed.
What is the area, in square inches, of the figure?
Answers
Answer:
It would be 33² in.
find the 13 term
7 la For the sequence 11,13,15,17
Answers
One number exceeds another by 1. The sum of the numbers is 23. What are the numbers?
Answers
Answer:
the numbers are 11 and 12
Step-by-step explanation:
potatoes - Samples: Assume the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1 ounces. He bags his potatoes in groups of 6. You buy a bag and the total weight is 42 ounces. Here we determine how lucky or unlucky you are. (a) What is the mean potato weight in your bag of 6
Answers
Find the quotient:
_________________
x - 4 ) x^3 + 2x^2 – 16x - 32
Answers
Step-by-step explanation:
x-4)x³+2x²-16x-32(x²+6x+8
x³-4x²
- +
____________
6x²-16x-32
6x²-24x
- +
_________
8x-32
8x-32
- +
_____
X X
______
Hence,
The quotient is x²+6x+8.
What is (7x1)+(4x1/10)+(6x1/1000) written as a decimal in standard form?
Answers
Answer:
7.406
Step-by-step explanation:
It is 7.406 because 7x1 is 7, 4/10 is 0.4, and 6/1000 is 0.006. If you add those together, you will get 7.406.
7.406 is the decimal form
What is decimal in numeral system ?
The decimal numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral system. The way of denoting numbers in the decimal system is often referred to as decimal notation. A formal way to read decimals is to read the whole part as a whole number, then the decimal dot as “and” and then reading the fractional part altogether but using the place value of the last digit with it.
= (7x1)+(4x1/10)+(6x1/1000)
= 7 + 0.4 + 0.006
= 7.406
therefore , the decimal form of the expression is 7.406
Read more about decimal here:
https://brainly.in/question/109147
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N+2=-14-n 46 POINTS WORK SHOWN
Answers
Answer:
woah that seems too complicated for my 9th grade brain
Step-by-step explanation:
n+2=−14−n
Move all terms containing n to the left side of the equation.
2n+2=−14
Move all terms not containing n to the right side of the equation.
2n=−16
Divide each term by 2 and simplify.
So the answer is: n=−8
6th grade ratios 50 pts
Answers
Answer:
13 milliliters
Step-by-step explanation:
it is 13
Please help multiple choice
Answers
Step-by-step explanation:
Hope this helps, good night
Please help thank you
Answers
Answer:
1/144
Step-by-step explanation:
You multiply the top and bottom by itself because its to the second and you get rid of the negative because negative multiplied by a negative is positive
PLEASE ANSWER THIS ASAP! SUPER EASY! PLEASE PLEASE WILL MARK YOU BRANLIEST!
Answers
What is 4 1/4 ÷ 4 1/2
Answers
Answer:
Your answer is going to be 17/18.
Step-by-step explanation:
You are going to put the fractions in improper form, giving you 17/4 and 9/2. Then you are going to use the saying KCF Keep Change Flip.
(17/4)(2/9)
34/36
17/18
Lisa bucket weighs 21kg after pouring out half it weigh 12kg what’s the wight of the bucket?
Answers
Answer:
Step-by-step explanation:
9kg
what is 5 divided by 1 4/7
Answers
3.18 is the answer i believe !
What is 120 divided by 55
Answers
Answer:
2.2
..................
120/55
The various steps of a food chain or web are known as ______. These explain where an organism sits on an ecological pyramid.
Answers
Answer:
Trophic Level
Step-by-step explanation:
The first trophic level is of producers (green plants). The second trophic level is of primary consumers also known as herbivores, third of carnivores, or secondary consumers, fourth is of tertiary consumers also known as top carnivores.
I am actually dumb just help me please
Answers
Answer:probably about 50 years
Step-by-step explanation:did for my family’s live oak
an inspector tested the first 125 radios that came off the production line today and found only 60% acceptable. After the inspector tested 25 more radios, the overall percentage of acceptable radios rose to 62%. The number of these 25 radios that were rejected is???
Answers
Answer: 7 radios
Step-by-step explanation:
The following can be deduced from the question:
Number of radios tested = 125 radios
Percentage acceptable = 60%
Numbers acceptable:
= 60% × 125
= 0.6 × 125
= 75 radios
Numbers rejected = 125 - 75 = 50 radio
We are further told that the inspector tested 25 more radios, this will be:
Number of radios tested
= 125 + 25 = 150 radios
Percentage acceptable = 62%
Numbers acceptable
= 62% × 150
= 0.62 × 150
= 93 radios
Numbers rejected= 150 - 93 = 57 radios
The number of these 25 radios that were rejected will be:
= 57 - 50
= 7 radios