The correct answer is 270°
a + b + c + d = 270°
Given,
In the figure at the right, if PQ is perpendicular to QR.
We need to find a + b + c + d.
What is the sum of the angles in a right triangle?The sum of the angles in a right triangle must be 180 degrees.
We have,
In right-triangle PQR
PQ is perpendicular to QR.
So,
∠PQR = 90 degrees.
∠QPR = ∠QRP = 45 degrees.
We see that,
QS is perpendicular to PR
So,
∠QSP = b = 90 degrees
∠QSR = c = 90 degrees
Now,
From right-triangle QSP and right-triangle QSR.
We have,
QSP = b = 90 degrees
QPS = a = 45 degrees
QSR = c = 90 degrees
QRS = d = 45 degrees
Find a + b + c + d.
= 45 + 90 + 90 + 45
= 270 degrees
Thus the correct answer is 270°
a + b + c + d = 270°
Learn more about finding measures of angles in a triangle here:
https://brainly.com/question/25950519
#SPJ2
I need help forming an equation
Answer:
[tex]\frac{1}{2} d-8=12[/tex]
(2 x minus 1)(x + 4)
whats the product
Answer:
2x^2+7x-4
Step-by-step explanation:
2x-x=x the 4+1=5 so x=5
Step-by-step explanation:
online bidding for a purse increases
by is for each bid After the the $160 initial bid?? Please help me
Answer:
a) y= 60+ 5x
b) 9 bids
Step-by-step explanation:
a) the function is y= 60+ 5x
b) 105= 60 + 5x
45= 5x
x= 45/5
x=9
there were 9 bids
Answer:
a: y = 5x + 60
b: 9 times
Step-by-step explanation:
105 = 5x + 60
-60 -60
------------------------
45 = 5x
÷5 ÷5
--------------
9 = x
A car travels 175 miles using 7 gallons of gas. At that rate, how far can the car travel using 4 gallons of gas?
Answer:
25
Step-by-step explanation:
175 ÷ 7 =25
Which number is equivalent to 3^4/3^2 (3 to the power of 4 OVER 3 to the power of 2)
A 2
B 9
C 81
D 729
Answer:
B. 9
Can I please be brainliest???
Evaluate the following expression if a = 2, b = 5, c = 4. bca
Answer:
40
Step-by-step explanation:
5*4*2=40
Answer:
40
Step-by-step explanation:
Order these numbers from least to greatest.
5.4, 3.964, 5.3042, 5.34
Answer:
3.964, 5.3042, 5.34, 5.4
Step-by-step explanation:
A student has a dog and cat for a pet. The dog eats 3 pounds of food
for every 1 pound of food the cat eats. If the pets eat a total of 464
pounds of food combined, how much food did each the cat and dog
eat?
Answer:
I'm not reallu sure.. but 5
Step-by-step explanation:
Want free points?! Want free brainliest?! Come to my profile and just answer one of my questions. I am YOUR community builder who gives free things. ("Thanks" on ur profile, points, hacks, brainliest, etc.)
Put me as brainliest so I can receive 50% more points!
452 divided 15 what would be the answer of this? If anyone knows please answer
Answer:
The answer to this question is given below in the explanation section
Step-by-step explanation:
This is a simple division question.
In division there are some terms used that are:
Dividend: The number which we divide is called a dividend. In this case, 425 is a dividend
Divisor: The number by which we divide is called the divisor. In our question, it is 15.
Quotient: The result obtained is called the quotient.
Remainder: The number left over is called the remainder.
So the answer to this question is:
452/15= 30.133
so the answer is 30.1333
Write an equation for the line in point slope form that passes through (-3,9) and (11,-2) FAST PLEASE
what is the distance between the bank and Hiroto's house on the mapEnter the distance to the nearest quarter mile. (Each unit represents 1 mile. Its due today can anyone help?
Answer:
Is there a picture to go with the question??
Step-by-step explanation:
what’s the quotient for these numbers??:)
Answer:
69
Step-by-step explanation:
420
Answer:
1 5/7
Step-by-step explanation:
Why does the prove statement appear at the beginning of the proof?
Answer:
what we are trying to prove
Step-by-step explanation:
Which of the following possible rational roots is a root of the function f(x)=x^3-3x^2+5x-15? *
5 points
-3
-1
1
3
Given:
The function is
[tex]f(x)=x^3-3x^2+5x-15[/tex]
To find:
The root of the function from the given possible roots.
Solution:
We have,
[tex]f(x)=x^3-3x^2+5x-15[/tex]
At x=-3,
[tex]f(-3)=(-3)^3-3(-3)^2+5(-3)-15[/tex]
[tex]f(-3)=-27-27-15-15[/tex]
[tex]f(-3)=-84\neq 0[/tex]
At x=-1,
[tex]f(-1)=(-1)^3-3(-1)^2+5(-1)-15[/tex]
[tex]f(-1)=-1-3-5-15[/tex]
[tex]f(-1)=-24\neq 0[/tex]
At x=1,
[tex]f(1)=(1)^3-3(1)^2+5(1)-15[/tex]
[tex]f(1)=1-3+5-15[/tex]
[tex]f(1)=-12\neq 0[/tex]
At x=3,
[tex]f(3)=(3)^3-3(3)^2+5(3)-15[/tex]
[tex]f(3)=27-27+15-15[/tex]
[tex]f(3)=0[/tex]
Since, the value of given function is 0 at only x=3, therefore 3 is a root of given function.
Hence, the correct option is D.
perimeter of rectangular plot is 36 meters the length is increased by 6meters and breadth is decreased by 3 meters the area of the plot remains the same what is the length of the plot
Perimeter of a rectangular plot = 36 m.
Find:length of the plot
Solution:Let the length of the plot be x and it's breadth be y.
We know that,
Perimeter of a rectangle = 2(length + breadth)
⟹ 2(x + y) = 36
⟹ x + y = 36/2
⟹ x = 18 - y -- equation (1)
Also,
If length is increased by 6 m & breadth is decreased by 3 m , the area remains same.
Area of a rectangle = length * breadth
So,
(x + 6) * (y - 3) = xy
⟹ x(y - 3) + 6(y - 3) = xy
⟹ xy - 3x + 6y - 18 = xy
Substitute the value of x from equation (1).
⟹ - 3(18 - y) + 6y = 18
⟹ - 54 + 3y + 6y = 18
⟹ 9y = 18 + 54
⟹ y = 72/9
⟹ y = 8 m
Substitute the value of y in equation (1).
⟹ x = 18 - 8
⟹ x = 10 m
Hence,
Length (x) = 10 m
Breadth (y) = 8 m.
∴ The length of the plot is 10 m.
I hope it will help you.
Regards.
NEED HELP
Will give brainiest
What is the y intercept of y= 1/7 x +3
Answer:
3
y=mx+b
b is the intercept
Answer:
if you look up the last sentence, there is a website with the exact answer
Step-by-step explanation:
BRAINLIEST please? sorry caps lol
Guiana and jimmy are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Hi oh sold 10 rolls of plain wrapping paper and 7 rolls of holiday wrapping paper for a total of $330. Jimmy sold 4 rolls of plain wrapping paper and 14 rolls of holiday paper for a total of $356. What is the cost of each one roll of plain wrapping paper and one roll of holiday wrapping paper?
Answer:
The answer is "p=25.63 and h= 6.24".
Step-by-step explanation:
p = cost of the plain
h = cost of the holiday
[tex]\to 10p + 7h = 330.........(i)\\\\\to 4p + 14h = 356........(ii)[/tex]
multiply by 2 in equation (i) and subtract from the equation (ii):
[tex]\to 20p + 14h = 660\\\\\to 9p + 14h = 378\\\\subtract\\\to 11 \ p =\ 282 \\\\\to p = \frac{282}{11}\\\\\to p = \$ \ 25.63[/tex]
put the value of p in equation (i):
[tex]\to 10(25.63)+7h=330\\\\\to 256.3+7h=330\\\\\to 7h=330 - 256.3\\\\\to 7h=330 - 256.3\\\\\to 7h= 43.7\\\\\to h= \frac{43.7}{7}\\\\\to h=6.24[/tex]
Hurry please help I’m so confused
Answer: Yes
Step-by-step explanation: You can determine if a graph is a function with the vertical line test. If you drew a vertical line anywhere through this graph it would intersect the graph no more than once.
I need help really fast! Please look at the image below!!
Please and thank you!
Answer:
119 degrees
Step-by-step explanation:
We know that a full straight line is 180 degrees. This angle is 61 degrees, so we subtract 61 from 180.
180 - 61 = 119 degrees
I hope this helped, please mark Brainliest, thank you!
Answer:
119
Step-by-step explanation:
a line equals 180 degrees, so just subtract 61 from 180
A number that has a factor of 7
Answer:
56
Step-by-step explanation:
7 and 8 makes 56.
(Any number that is a multiple of 7 or a factor of 7)
Answer:
7, 14, 21, 28, 35, 49, 56, 63, 70, 77, 84, 91, 98
Step-by-step explanation:
Pls helppp this is a grade
Answer:
9.5
Step-by-step explanation:
9/18 is 1/2
Answer:
19/2 or 9.5
Step-by-step explanation:
What is the y intercept form of y=5x-1
Choose 1 answer:
(Choice A) (-1,0)
(Choice B) (0,-1)
(Choice C) (5,0)
(Choice D) (0,5)
WILL MARK BRAINLIEST
Answer:
b
Step-by-step explanation:
y=mx+b
b= y-intercept
Answer:
d on khan
Step-by-step explanation:
Determine which of the lines, if any, are parallel. Explain
Answer: The red and blue lines.
Step-by-step explanation:
Parallel means two lines that never cross and the red and blue lines will not cross paths.
15. 4+3x{2-1]+8 divided [9 divided by7] What is the answer?
Answer:
86
Step-by-step explanation:
hopes this helps
please me proportional or nonproportal
Answer:
looks proportional to me
Step-by-step explanation:
Answer:
Proportional
Step-by-step explanation:
Direct proportion:
y = kx
1*4 = 4
2*4 = 8
3*4 = 12
Given values in the table satisfy the equation of direct proportion. So, it is a direct proportion.
Solve the inequality. −16<6k+2<0 The solution is .
-3 < k < - 1/3 is ur answer
Answer:
- 3 < k < - [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Given
- 16 < 6k + 2 < 0 ( subtract 2 from all 3 intervals )
- 18 < 6k < - 2 ( divide each interval by 6 )
- 3 < k < - [tex]\frac{1}{3}[/tex]
Help please I’m confused
Answer:
multiple --> the __ of 13 include 13, 26, 39..
factor --> the __ of 10 include 1, 2, 5, 10
in terms of --> solve for variable
domain --> all possible values that can be used as input to the function
range --> all possible values that can be generated by the function (output)
Step-by-step explanation:
this is too much explain im srry just trust me :D
you'll start to understand these eventually hopefully
Wallace recorded the length of his paintings in feet. Which list shows the lengths in order from greatest to least? List 1: 4.5 feet, 4 feet, 3.99 feet, 3.5 feet, 4.25 feet List 2: 3.99 feet, 4.25 feet, 4.5 feet, 3.5 feet, 4 feet List 3: 4.5 feet, 4.25 feet, 4 feet, 3.99 feet, 3.5 feet List 4: 3.5 feet, 3.99 feet, 4 feet, 4.25 feet, 4.5 feet
Answer:
list 3
Step-by-step explanation:
if you look at list 3 "4.5 feet, 4.25 feet, 4 feet, 3.99 feet, 3.5 feet" you can easily see that it is going from greatest to smallest because 4.5 is larger than 4.25 and 4.25 is larger than 4 and 4 is larger that 3.99 by 0.01 as you see its only 0.01 diffrence but it is still larger
Answer:
List 3
Step-by-step explanation:
I got it right (;
Give the equation of the line going through the point (0, -3) and perpendicular to 4x - 8y = 16.
Please answer quickly. It's due tomorrow
Answer:
y=-1/4x+3
Step-by-step explanation:
put it into y-y1=m(x-x1) form, which gives you y+3=-1/4x(x+0)
(side note: we change the y- to a y+ becuase the y in the point in negative. another side note, the slope is -1/4x because perpendicular slopes are opposite, in this case 4x (or 4/1x) is the opposite of -1/4 x)
then remove the parenthesis. y+3=-1/4x
then isolate y and balance the equation.
y+3-3=-1/4x-3
this gives you the answer of y=-1/4x-3.
Answer:
y=-2x-3
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=x2−2.
The slope of the perpendicular line is negative inverse: m=−2.
So, the equation of the perpendicular line is y=−2x+a.
To find a, we use the fact that the line should pass through the given point: −3=(−2)⋅(0)+a.
Thus, a=−3.
Therefore, the equation of the line is y=−2x−3.
Answer: y=−2x−3.
what is the x-coordinate of (-2,5)?
Answer: -2
Explanation: The -2 is called the x-coordinate
or horizontal move from the origin.
All points are written in the form (x, y).