Answer:
∠PSR = 113°
Step-by-step explanation:
Two angles in a parallelogram that are next to each other are supplementary. That means that they add up to 180°, so 7x-13+4x-5 = 180. Solve for x.
7x-13+4x-5=180
11x-18=180
11x=198
x=18
Now plug x back into the angle that opposite from the one you are looking for (they are equal)
7(18)-13 = ∠PSR
126-13 = ∠PSR
113 = ∠PSR
What is the equation of the line in slope-intercept form that is perpendicular to the line y = -x-2 and passes
through the point (-12, 10)?
O y=-x-6
O y=-x + 6
Oy= x + 26
O y = x + 10
The equation of the line that is perpendicular to y = -x - 2 and passes through the point (-12, 10) is y = x + 22 in slope-intercept form.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The given line has a slope of -1, since it is in the form y = mx + b, where m is the slope, and in this case, m = -1.
To find the equation of the line that is perpendicular to this line,
We need to use the fact that the product of the slopes of two perpendicular lines is -1.
Let the slope of the perpendicular line be m'.
Then:
-1 x m' = -1
m' = 1
So the slope of the perpendicular line is 1.
We also know that the perpendicular line passes through the point (-12, 10).
Using the point-slope form of the equation of a line, we have:
y - y(1) = m' (x - x(1))
Substituting m' = 1 and (x(1), y(1)) = (-12, 10),
We get:
y - 10 = 1 (x + 12)
Simplifying this equation gives:
y = x + 22
Thus,
The equation of the line that is perpendicular to y = -x - 2 and passes through the point (-12, 10) is y = x + 22 in slope-intercept form.
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Monthly private school tuition based on the average number of weeks in attendance is predicted using the least-square regression line, ŷ = 265.9 + 93.4x, where ŷ represents the predicted monthly expense and x represents the average number of weeks in attendance. A child attends private school an average of 3.5 weeks and has a monthly cost of $595. What is the residual for the child?
A. −2.2
B. 2.2
C. 3.52
D. −3.52
E. 90.7
Answer:
B) 2.2
Step-by-step explanation:
i took the test :)
The residual for the child will be 2.2. Then the correct option is B.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function.
Monthly private school tuition based on the average number of weeks in attendance is predicted using the least-square regression line.
y = 265.9 + 93.4x, where y represents the predicted monthly expense and x represents the average number of weeks in attendance.
A child attends private school an average of 3.5 weeks and has a monthly cost of $595.
Then the residual for the child will be
⇒ 595 – (265.9 + 93.4 × 3.5)
⇒ 595 – (592.8)
⇒ 2.2
Then the correct option is B.
More about the function link is given below.
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Solve for x
x + 3 = y
Select the correct response
1. X=y/3
2.x= y+3
3.x=y+-3
4.x=3y
Answer:
3. x = y - 3
Step-by-step explanation:
You want to move all numbers on the same side of x to the other side with y. Whenever doing this, we have to reverse the operation. In this problem, we have + 3 with x. So we will need to subtract 3 from both sides.
x + 3 = y
x = y - 3
Which is the graph of g(x) = (0.5)x+ 3 – 4?
Answer:
x=2 y=-1...................
Answer:
A
Step-by-step explanation:
What is the volume of a container that is 5cm tall by 10cm long and 4cm deep
Answer:
200cm³
Step-by-step explanation:
lenght×width×height=Volume
10cm×4cm×5cm=200cm³
The circumference of a circle is 53.38 cm. The radius of the circle is 8.5 cm.
Which expression best represents the value of *sign*
Answer:6.28
Step-by-step explanation:
Expression that best represents value of π is C/2r,
Value of π used to calculate circumference is 3.14
What is circle?A circle is a plane figure bounded by one curved line, and such that all straight lines drawn from a certain point within it to the bounding line, are equal. The bounding line is called its circumference and the point, its center.
Given,
Circumference of circle C = 53.38
Radius of circle r = 8.5
C = 2πr
π = C/2r
π = 53.38/2 × 8.5
π = 53.38/17
π = 3.14
Hence, value of π is 3.14 for calculating circumference of circle, which can be calculated with expression C/2r
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What is 5 + 20? This is just if u need/want points.
Answer:
25:)
Step-by-step explanation:
i need one more brainly little crown may i please have one
take a look at this question and see if you can figure it out for me lol
Answer:
x=4 is the correct answer:)
Step-by-step explanation:
(Select one) DO,2 of Y is:
(3/2, 1)
(5, 4)
(6, 4)
Answer:
I believe the answer is (6,4)
Step-by-step explanation:
When dialating a shape you have to multiply both coordinates.
In this case we are given the knowledge that the new image will be a dilation of 2 (DO,2)
So we have to multiply the coordinates of y (3,2) by 2 which gives us the answer of (6,4)
Hope this makes sense
What is
3 4/10
written in simplest form?
Answer:
The answer is 3 2/5 hope this helps :)
Step-by-step explanation:
Subtracting Fractions what is 1 2/3-2 1/3?
Answer:
-2/3
Step-by-step explanation:
1 2/3 becomes 5/3. 2 1/3 becomes 7/3 5/3-7/3= -2/3
on slope. find the coordinate
Answer:
36
Step-by-step explanation:
Using the slope formula:
slope = (y2-y1)/(x2-x1)
1/8 = (-10+6)/(4-w)
1/8 = -4/(4-w)
We can cross multiply to solve for w:
-32 = 4-w
w = 36
solve the equation pls and ty
Answer: No real solutions.
plz help me and include the steps of how you got the answer.
Answer:
x = 17, y = 25.5
Step-by-step explanation:
Since ABC is congruent to DEF, we can say that angle A = D and B = E by CPCTC
So to find x we can do:
5x + 2 = 87
5x = 85
x=17
So x is 17
Since B = E and E is 42 degrees, then B must also be 42 degrees. So 87 , 42, and 2y must add up to 180 degrees because it is a triangle.
87 + 42 + 2y = 180 degrees
129 + 2y = 180
151 = 2y
y = 25.5
So x = 17 and y = 25.5
3. Melanie collects coins from all over the world. She is reorganizing her collection into coins from Europe and coins from other parts of the world. After sorting the coins, she comes to the conclusion that six out of every ten of the coins in her collection come from Europe.
A. Write a ratio for the number of European coins to the total number of coins, the number of non-European coins to the total number of coins, and the number of European coins to the number of non-European coins
Answer:
Step-by-step explanation:
AIiwi
express in standard form 24.12
A 12oz iced tea at a restaurant has 84 calories. How many calories are there in a 18oz iced tea?
126
12=84
6=42
84+42=126
Hope this helps!!! Have an amazing night!!!!
F(x)=6x+8 what is f(3)?
Answer:
26
Step-by-step explanation:
6(3) =18 18+8=26
evaluate the expression 8/d + 3 when d=4
Answer: 5,
Step-by-step explanation: I got it right, and I hope this helps you! ✨
Answer:
the evaluation of the equation is 5
Step-by-step explanation:
To add fractions, find the LCD and then combine.
Multiply and simplify the following complex numbers:
(5 – 5i) . (-3+5i)
Step-by-step explanation:
(5 – 5i) . (-3+5i)
=-15+25i+15i-25i²
=-25i²40i-15
Answer:
-25i^2+10i-15
Step-by-step explanation:
(5 – 5i) . (-3+5i)
foil
1)5*-3=-15
2)5*5i=25i
3)-5i*-3=15i
4)-5i*5i=-25i^2
put that all together
-25i^2+15i+25i-15
simplify
-25i^2+40i-15
A local orange grower processes 2,330 oranges from his grove this year. The oranges are packaged in crates that each holds 96 oranges. All but one crate is full. How many oranges are in the last crate?
Answer:
13
Step-by-step explanation:
Given parameters:
Number of oranges processed by grower = 2330 oranges
Number of oranges per crate = 96
Unknown:
Number unpacked oranges
Solution:
To solve this problem, divide the total number of oranges by the number of oranges per crate;
Number of unpacked oranges = [tex]\frac{2330}{96}[/tex]
Number of unpacked oranges = 24 [tex]\frac{13}{48}[/tex]
The remaining unpacked is 13.
index notation 3 x 7 x 7 x 7 x 7
Answer:
7203
Step-by-step explanation:
sorry if I am wrong
Answer:
Step-by-step explanation:
3×7⁴
May it help
PLEASE HELP
Josue is planning to host a big Thanksgiving Meal Pick Up service to raise money for the local food bank. He will be selling prepared meal boxes that will feed 4-6 people for $60. His friends and several local churches and organizations are happy to help. In fact, some of the food used will be donated to his cause. Unfortunately, his project will not be cost-free. He will need to rent a kitchen for $200 and spend $400 on food to be able to make the meal boxes. Write an equation that models his total profits and define each variable used. How many boxes must he sell to raise at least $10,000 for the food bank?
Will give brainliest.
The measure of one of the acute angles in a right triangle is 59°.
What is the measure of the other acute angle?
Answer:
31*
Step-by-step explanation:
right triangle means 90* so 90*-59* = 31*
Answer:
31 degrees
Step-by-step explanation:
what is 2/5 x 4 help me please
Answer: 1.6
Step-by-step explanation:
Answer:
1.6
Step-by-step explanation:
2/5×4
=8/5
=1.6
So the answer is 1.6
Write an equation in point slope form for the line that passes through each point with the given slope. (you can press on the photo to see more clear)
Answer:
Question 1: Option C: y -6 = 8(x+4) is the correct answer.
Question 2: Option B: y-1=0 is the correct answer.
Step-by-step explanation:
Question 1(In Picture):
Given point is: (-4,6) and
Slope: m = 8
The point-slope form of equation of a line is given by:
[tex]y - y_1 = m(x-x_1)[/tex]
Here (x1,y1) are the coordinates of the point from which the line passes. Putting (-4,6) in the equation and slope
[tex]y -6 = 8(x+4)[/tex]
Hence,
Option C: y -6 = 8(x+4) is the correct answer.
Question 2:
Given point is: (3,1) and
Slope: m = 0
The point-slope form of equation of a line is given by:
[tex]y - y_1 = m(x-x_1)[/tex]
Here (x1,y1) are the coordinates of the point from which the line passes. Putting (-4,6) in the equation and slope
[tex]y -1 = 0(x-3)\\y-1 = 0[/tex]
Hence,
Option B: y-1=0 is the correct answer.
Arthur wrote the equation x=6+8y-9. How would you rewrite this equation in terms of y?
Answer:
wait i redid it and got
y= x+3/8
The blue dot is at what value on the number line?
10 +
2
Can anyone help?
Answer:
-10
Step-by-step explanation:
The value of every marking can be calculated as follows:
10 - 2 = 2 markings
8 = 2 markings
Every marking represents a change in value of 4.
Hence, 2 - (3*4) = ?
2 - 12 = ?
-10 = ?
Hope this helped!
The equation Y+3=5(x-2)
goes through with point?
(2,-3)
(3,-2)
(-2,3)
(-3,2)
Answer:
(2, -3)
Step-by-step explanation:
Well the equation is y - y1 = m ( x - x1)
-3 = y1
2 = x1
(2, -3)
Answer:
(2,-3)
Step-by-step explanation:
The given equation is in point-slope form. That is,
[tex]y-y1=m(x-x1)[/tex]
[tex]x1[/tex] and [tex]y1[/tex] is a point, while [tex]m[/tex] is the slope.
So, [tex]y1=-3[/tex] and [tex]x1=2[/tex].
The point that this equation passes through is (2,-3).
I hope this helps!