Select the solution for the system of linear equations y = x + 6 and y = -2x.
A.
(2,-4)
B.
(-2,4)
C.
(-2,-4)
D.
(2, 4)
Given:
m∠QPS=107∘
m∠RPS=4x+27∘
m∠QPR=9x-115∘
Find m∠QPR
**This was on Khan Academy, so please hurry lol**
Answer:
m∠QPR = 20°
Step-by-step explanation:
If we make a sketch of the triangle, it will be observed, that line R bisects angle P.
Considering Triangle, ΔQPS;
∠QPS=107∘
Considering triangle, QPR;
∠QPR=9x-115∘
Considering triangle, RPS;
∠RPS=4x+27∘
Thus, ∠RPS + ∠QPR = ∠QPS
4x+27° + 9x-115° = 107°
13x - 88° = 107∘
13 x = 107∘ + 88∘
13x = 195°
x = 195°/13
x = 15°
m∠QPR = 9x - 115°
= (9 x 15) - 115°
= 135° - 115°
= 20°
Therefore, m∠QPR = 20°
Which cross section is formed when a cube is sliced in a way such that the plane passes through the cube parallel to one of the bases? A. a rectangle B. a square C. a triangle that is not equilateral D. a parallelogram that is not a rectangle
The cross section that is formed is A. a rectangle
Answer:
a.) a rectangle
Step-by-step explanation:
Solve for y: 4.0
2y + 16 = 0
Answer:
y=-8
Step-by-step explanation:
2y+16=0
2y=-16
y=-8
A triangle has a leg with a length of 3 and a hypotenuse with a length of 6.What is the length of the other leg?
Answer:
3[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the length of the other leg, then
x² + 3² = 6², that is
x² + 9 = 36 ( subtract 9 from both sides )
x² = 27 ( take the square root of both sides )
x = [tex]\sqrt{27}[/tex] = [tex]\sqrt{9(3)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex] ← exact value
Is 3x+0y a monomial, binomial or trinomial?
Answer:
trinomial
Step-by-step explanation:
it has 3 terms. an expression with three terms is a trinomial.
(mark as brainliest)
Answer:
the answer would be monomial
because there is one term it is 3x
0y is not term
Simple Probability - Item 20781
Question 4
Which of the following events has a probability closest to 1?
CLEAR
CHECK
It will snow in July in Phoenix, Arizona.
If you roll a die, it will come up with an even number.
If you flip a coin, it will come up either heads or tails.
The next child born in the United States will be a girl.
O
Answer:
C. If you flip a coin, it will come up either heads or tails.
Step-by-step explanation:
A. My guess is it doesn't rain much in Phoenix in July. A probability of 1 means it will happen for sure, so this is not it.
B. A die has 3 even numbers and 3 odd numbers. The probability of rolling an even number is 3/6 = 0.5. This is not it.
C. If you flip a coin, you either get heads or tails. The probability of heads or tails is 1 since one of the two outcomes will always happen. This is the answer.
D. The probability of the birth of a girl is 1 out of 2, so it is 0.5. This is not it.
Answer:
If you flip a coin, it will come up either heads or tails. It either will fall on heads or tails everytime so that is closest to one.
Step-by-step explanation:
What’s the additive inverse of -10 1/4
Answer:
3/7 -1/4
Step-by-step explanation:
Answer:
3/7 -1/4
Step-by-step explanation:
The edge length of a cube-shaped crate is the square of the edge length of a cube-shaped box. Write an expression for the number of boxes that can fit in the crate.
Answer:
[tex]s^3[/tex]
where s is the edge length of the cube-shaped box
Step-by-step explanation:
Let the edge length of the cube-shaped box=s
The edge length of a cube-shaped crate is the square of the edge length of a cube-shaped box.
Therefore, edge length of the cube-shaped crate[tex]=s^2[/tex]To determine the number of boxes that can fit in the crate, we first find the volume of the crate and the box.
Volume of the cube-shaped crate of side length [tex]s^2=(s^2)^3=s^6 $ cubic units[/tex]Volume of the cube-shaped box of side length [tex]s=s^3 $ cubic units[/tex]Therefore, the number of boxes that can fit in the crate
=Volume of Crate divided by Volume of Box
[tex]=\frac{s^6}{s^3}\\=s^{6-3}\\=s^3$ boxes[/tex]
Therefore, an expression for the number of boxes that can fit in the crate is [tex]s^3[/tex].
Help!!! On a piece of paper graph then determine which answer choice matches the graph you drew
Answer:
C
Step-by-step explanation:
You read piece wise as
2 turns on at x = -5, then turns off at x = - 1 and so on
What is the value of g?
The image is of a circle with a tangent and a secant, which are intersecting at an angle 38 degrees. Measure of smaller arc cut by them is g degrees and that of bigger arc is 119 degrees.
A. 124
B. 43
C. 100
D. 86
We have been given a circle with a tangent and a secant, which are intersecting at an angle 38 degrees. We are asked to find the measure of arc g.
We can see that angle with 38 degrees measure is a secant tangent angle outside the circle.
We know that measure of an angle formed by intersection tangent and secant outside circle is half the difference of intercepted arcs.
[tex]38^{\circ}=\frac{1}{2}(119^{\circ}-g^{\circ})[/tex]
[tex]38^{\circ}\cdot 2=\frac{1}{2}\cdot 2(119^{\circ}-g^{\circ})[/tex]
[tex]76^{\circ}=119^{\circ}-g^{\circ}[/tex]
[tex]76^{\circ}+g^{\circ}=119^{\circ}-g^{\circ}+g^{\circ}[/tex]
[tex]76^{\circ}+g^{\circ}=119^{\circ}[/tex]
[tex]76^{\circ}-76^{\circ}+g^{\circ}=119^{\circ}-76^{\circ}[/tex]
[tex]g^{\circ}=43^{\circ}[/tex]
Therefore, the measure of smaller arc is 43 and option B is the correct choice.
A square pyramid has a base side length of 20.4cm and a height of 18.2cm which square pyramid is similar
Answer:
C) base side length = 30.6 cm, height = 27.3 cm
Step-by-step explanation:
Answer:
c on ed
Step-by-step explanation:
14 is 12 1/2% of what number?
Answer:
112
Step-by-step explanation:
2. Use the image below to answer the question.
D
E
F
Using the segment addition postulate, find the length of segment EF.
Answer:
26
Step-by-step explanation:
I subtracted DF and DE to find the missing difference for the segment EF. I'm not sure if this is correct though. I hope it helps.
The length of line segment EF is 26.
What is a line segment ?A line segment is a subset of a line which has two endpoints.
A ray has one end point and extends indefinitely on the other direction.
A line extends indefinitely on both of it's directions.
From the given data
Line segment DF has a length 38 and line segment DE has a length 12.
To find the length of line segment EF we have to subtract the length of line segment DE from length segment DF.
∴ EF = DF - DE
EF = 38 - 12'
EF = 26.
So, the line segment EF has a length of 26.
Learn more about Line segments here :
https://brainly.com/question/25727583
#SPJ6
Find the area. Will mark brainliest.
Answer:
98... BTW Google has a calculator to figure this out :) brainliest pls
Answer: why dont you find your own, we have same brain capacity, or you have less?
Step-by-step explanation: brainiest
I need help and i need it fast!
Answer:
15. 14
16. 44
17. 11
18. -56
Step-by-step explanation:
15 . 4 * 7 = 28 divide by 2 = 14
16. 2^3 = 8 * 3 = 24 +5 * 4 = 20 , 20 + 24 = 44
17. 5 + 4 = 9 + 2 =11
18. 6 * 2 = 12 and -34 * 2 = -68 - 12 = 56
hope this helps mark me brainlist if it did
Solve this equation for x. Round your answer to
the nearest hundredth.
0 = In(x + 7)
Answer:
x = -6
Step-by-step explanation:
0 = In(x + 7)
x + 7 = e⁰
x + 7 = 1
x = 1 - 7
x = -6
Steps to solve:
0 = In(x + 7)
~Log definition
e^0 = x + 7
~Simplify
1 = x + 7
~Solve for x
1 - 7 = x + 7 - 7
-6 = x
Therefore, the answer is x = -6
Best of Luck!
obtain all the zeros of the polynomial f[x]=x^4-3x^2-x^2+9x-6 if two of its zeros are-√3 and√3
Answer:woah
Step-by-step explanation:
The measure of an angle is 15⁰. What is the measure of a complementary angle?
Answer:
75
Step-by-step explanation:
Because to find a complementary angle you take 90 and subtract it from the angle you already have, then that would be your answer. Complimentary angles are a pair of angles that add up to 90.
How many one-third cubes are needed to fill the gap in the prism shown below?
MATH EASY AND MARK BRAINLIEST
A prism has a length of 4 and two-thirds, height of 2, and width of 4. 16 blocks are inside of the prism.
4
8
16
24
Answer:
D.24
hope i helped :D
Answer:
16
Step-by-step explanation:
4x+8y=-4
-5x + 3y=-21
(3-2)
Answer:
x + 2y + 1 = 0
-5x+3y-21 = 0
(3-2) = 1
Which function describes the graph shown below?
On a coordinate plane, a curve crosses the y-axis at (0, negative 2), increases to negative 2.5, decreases to negative 2.5, and then increases again.
y = one-half sine (x) minus 2
y = 2 sine (x) minus one-half
y = one-half cosine (x) minus 2
y = 2 cosine (x) minus one-half
Answer:
A) y= 1/2 sin(x) -2
Step-by-step explanation:
edge 2020 this is the answer, i just took the quiz
The function shown by the graph is a sine function give. as: y = one-half sine (x) minus 2.
What is the graph of a sine function?The graph of a sine function has and up-down curve that repeats every 2π radians, or 360°.
The graph starts at 0, heads up to 1 by π/2 radians or 90° and then heads down to −1.
The given graph of the function crosses the y-axis at (0, negative 2), increases to negative 2.5, decreases to negative 2.5, and then increases again.
Therefore, the function shown by the graph is the sine function; y = one-half sine (x) minus 2.
Learn more about graph of sine function at: https://brainly.com/question/2491845
Jake received a student loan for $12,000. He plans on paying off the loan in five years. At the end of five years, J. Cole have paid $3600 in interest. What is a simple interest rate on the student loan?
Answer:
The simple interest rate on the student loan is 6%.
Step-by-step explanation:
To solve for the simple interest rate, use the formula for total simple interest:
[tex]I = Prt[/tex]
[tex]I[/tex] = total interest paid
P = principal, or starting value
r = interest rate in decimal form
t = time in years
State known values
P = 12,000
t = 5
[tex]I[/tex] = 3,600
Substitute known values and isolate "r"
[tex]I = Prt[/tex]
3,600 = (12,000) (r) (5)
3,600 = (60,000) r
r = 0.06
Since "r" is given as a decimal, convert this to a percentage by multiplying by 100.
0.06 = 6%
∴ The simple interest rate on the student loan is 6%.
Answer=6%
Step-by-step explanation:
Principal(P)=12000
Time(T)=5 yrs
Interest(I)=3600
We have,
I=PTR/100
3600=(12000*5*R)/100
3600*100=60000*R
R=360000/60000
R=6%
Which of the following properly describe “slope”?
Answer:
#3 1/2
Step-by-step explanation:
if you start where the line and the boxes in the graph line up like at (0,-2) and then you go up 1 and right 2 the line will be there again line up with the boxes and since slope is rise/run it is 1/2
PLEASE HELP - Select the TWO sets of points that CANNOT belong to a linear function.
We see for each row the x coordinates are in arithmetic progression, with a constant difference between successive points. For example in A x coordinates 3-5=1-3. So for this to be a line, the same has to be true of the y coordinates; they have to be in arithmetic progression.
A. 5/2, 3/2, 1/2 is just 5,3,1 (constant factors don't matter) so those are in arithmetic progression like the x coordinates so we have a line.
B. 1/2, 1, 3/2. In AP, a line
C. -1/2, -1/3, -1/4 multiplying by common denominator -12 makes 6, 4, 3. Those aren't in arithmetic progression. Not a line.
D. 2,3,4 in AP, a line.
E. 3/4, 1 3/4, 2 3/4 mixed numbers but obvious AP.
Answer: C
PLEASE HELP!
The dot plot below shows the hourly rate of some babysitters in a city
Which statement best describes the shape of the data?
It is symmetric and has no gaps.
It is not symmetric and has a peak at $7.00
It is a cluster from $1.00 to $7.00 and has no gaps.
It is a cluster from $1.00 to $7.00 and has a peak at $6.00
NO GUESSING PLEASE AND THANK YOU :)
the area of the base of a triangular prism is 4.5 and the lenght of the prism is 5. what is the volume of the prism
Hi! I need to know the height of the prism to solve the volume. Please describe that and I will surely be able to help you. Have a nice day!
The number of hours worked by the employees of Bob's Car Wash in one week are listed.
20, 40, 30, 36, 36, 40, 39, 36, 38
The mean is 35 hours per week and the median is 36 hours per week.
Which statement best explains why the mean is less than the median?
O
A. There are only 9 employees.
O
B. Nobody works more than 40 hours.
O
c. The smallest number is half the largest.
O
d. One worker works much fewer hours than everyone else.
PLEASE HURRY
Answer:
Option D
One worker works for much fewer hours than everyone else
Step-by-step explanation:
First of all, we will need to clarify the concepts.
The median of a distribution is the middle number in that distribution, after the values have been arranged in either an ascending or descending order.
The mean is a weighted average of a distribution.
The mean has the characteristic of usually being affected by extremely low or extremely high values.
In our case, we have a relatively low value in terms of hours worked. This means that in the distribution, the worker that worked only 20 hours, will affect the mean hours worked by all the workers, making it lower than the median value.
Means give better results, when used to analyse distributions with smaller ranges.
15 points for this!! ( btw d is 90 it got cut off)
Answer:
The value of x is D) 90°
Step-by-step explanation:
The sum of interior angles in a quadrilateral is 360°
As the total interior angles in a quadrilateral is 360 to work this out you would first need to work out the total of the angles given You can do this by adding 101 and 75 and 94, this gives you 270. This is because it tells us how much of that 360 degree total has been used.
The next step is to work out the angle of x. You can do this by subtracting the total angles gives of 270 from the total of 360, this gives you 90 degrees. This is because by subtracting it we are isolating the value of x.
1) Add the values of 94, 101, 75.
[tex]101+94+75=270[/tex]
2) Minus 270 from 360.
[tex]360-270=90degrees[/tex]
The interest received on a savings account varies directly with the amount deposited. Daniel received $55.35 in interest on $1230 he deposited. How
much interest would Daniel have received if he had deposited $2000 into
his account? *
A. $1,285.35
B. $34.04
C. $90.00
D. $44,444.44
Answer:
90.00
Step-by-step explanation:
because all they did was add a couple of hundred that would not boost the 55.35 all the way to the thousands so A is not right It's not B because 55.35 is more than 34.04 so it's not B it's not D because 44,444.44 is just way too high it's even higher than option A.
