Answers
Answer:
We conclude that:
The value of x = 7The value of y = 4Step-by-step explanation:
Given
The parallelogram PQRSWe know that the diagonals of a parallelogram bisect each other.
so
[tex]RT = TP[/tex]
Given
RT = xTP = 5x-28so substituting RT = x, and TP = 5x-28
[tex]RT = TP[/tex]
[tex]x = 5x-28[/tex]
[tex]5x = x+28[/tex]
[tex]5x-x = 28[/tex]
[tex]4x = 28[/tex]
divide both sides by 4
[tex]4x/4 = 28/4[/tex]
[tex]x = 7[/tex]
Therefore, the value of x:
x = 7Similarly,
[tex]QT = TS[/tex]
Given
QT = 5yTS = 2y+12so substituting QT = 5y, and TS = 2y+12
[tex]QT = TS[/tex]
[tex]5y = 2y+12[/tex]
[tex]5y-2y = 12[/tex]
[tex]3y = 12[/tex]
divide both sides by 3
[tex]3y/3 = 12/3[/tex]
[tex]y = 4[/tex]
Therefore, the value of y:
y = 4
Therefore, we conclude that:
The value of x = 7The value of y = 4Related Questions
PLEASE HELPPPP
ITS EASY MY BRAIN JUST HURTS
Answers
500minute
Step-by-step explanation:
if anthony rides 32 miles in 160 minute then he will ride 1 mile in 5 minutes
Solve for x : 4/5 x − 2 = 7
Answers
Answer: x = 45/4
Step-by-step explanation:
Answer:
11 1/4 simplified form
45/4 exact form
11.25 decimal form
Write and solve a system of linear equations that represent the situation. There are a total of 64 students in two clubs: xylophone and yo-yo. The xylophone club has 10 more members than the yo-yo club. How many members are in the xylophone club? How many members are in the yo-yo club?
Answers
Answer:
x + y = 64
x = 10 + y
Yo-yo = 27
Xylophone = 37
Step-by-step explanation:
Let :
Xylophone club = x
Yo - Yo club = y
Total members = 64
Xylophone club has 10 more members than yoyo
Hence,
x + y = 64 - - (1)
x = 10 + y - - (2)
Put x = 10 + y in (1)
10 + y + y = 64
10 + 2y = 64
2y = 64 - 10
2y = 54
y = 54 / 2
y = 27
From (1)
x + 27 = 64
x = 64 - 27
x = 37
If the point is reflected across the yaxis what is the location of the new point?
Answers
Answer:
That would be B. (2,-5)
Step-by-step explanation:
If it's reflected across the Y axis then only the second number will change
But it depends on what the number is
Help
Please due now!!!!
Answers
Answer:
3920
Step-by-step explanation:
(9+11)(14•14)
(20)(196)
20 x 196
3920
Answer:
3920
Step-by-step explanation:
According to the question ,
x = 14 ; y = 9 ; z = 2
So, putting the values in the expression [tex](y + 11)( {x}^{z} )[/tex]
[tex] = > (9 + 11)( {14}^{2} )[/tex]
[tex] = > 20 \times 196 = 3920[/tex]
Can someone please help? I need to get this doe so I can do something important
Answers
Answer:
9. 4/1 or 4. 10. 0
Step-by-step explanation:
9.
Slope- y2-y1/x2-x1
11-7/4-3= 4/1 or 4
10.
Slope-y2-y1/x2-x1
7-7/5-0= 0/5
When 0 is the numerator of the slope, then the slope is 0.
I’m not sure if it’s 1 but I know it’s not 3 and if you answer please Give an explanation !
Answers
Answer:
The answer is indeed 1.
Step-by-step explanation:
You are going to plug in the y values, and then plug in the choices for x to see which makes the statement true.
[tex]x + y = 6 - x \\ x + 4 = 6 - x \\ \\ (4) + 4 = 6 - (4) \: is \: 8 = 2\: \: \: |no| \\ \\ (2) + 4 = 6 - (2) \: is \: 6 = 4 \: \: \: |no| \\ \\ (3) + 4 = 6 - (3) \: is \: 7 = 3 \: \: \: |no| \\ \\ (1) + 4 = 6 - (1) \: is \: 5 = 5 \: \: \: |yes| [/tex]
The graph of a function f is shown below. Use the zeros and the turning points of the graph to find the rule for f.
A.
f(x) = x4 − 8x2 + 16
B.f(x) = −x4 + 5x2 − 4
C.f(x) = x3 + x2 − 4x + 4
D.f(x) = x4 − 5x2 + 4
Answers
Answer:
Answer is D
Step-by-step explanation:
Using the zeros of the graph we should have y=0 when we put x=-2, x=-1, x=1, x=2
Only the function on option D works, so the answer is D
For the graph on the right, find the Average Rate of Change from 7 to 60 minutes?
Answers
Answer:
The average rate of change from 7 to 60 minutes is 0.36 miles per minute.
Step-by-step explanation:
at x₁ = 7, f(x₁) = 8
at x₂ = 60, f(x₂) = 27
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [27 - 8] / [60-7]
= 19 / 53
= 0.36
Therefore, the average rate of change from 7 to 60 minutes is 0.36 miles per minute.
In ABC, the interior angle at A is 51° and the exterior angle at B is 119º. The interior angle at C measures
A 51°
B 68°
C 90°
D 39°
Answers
Answer:
68 degrees
Step-by-step explanation:
To get the interior angle, we use an important triangle principle
The principle is that the sum of the opposite interior angles equal the exterior angle
Let the second interior angle be x
x + 51 = 119
x = 119-51
x = 68
Lucy correctly answered 70% of the questions on her science homework. She counted 14 correct answers. How many questions are there on her homework?
Answers
Answer:
9.8
Step-by-step explanation:
hurry please i’m taking a test!!!
Answers
Step-by-step explanation:
Since triangles ABC and DEF are congruent,
Angle D = Angle A.
=> (2y - 5)° = 65°, 2y - 5 = 65, y = 35.
Also side EF = side BC.
=> 2x + y = 90.6, 2x = 90.6 - (35) = 55.6, x = 27.8.
Answer: Y = 35, X = 27.8
Step-by-step explanation:
First you need to find Y. So, you do 2y - 5 = 65. First you add 5 to both sides, this will give you 2y = 70. Then divide both sides by 2 to get y = 35. Then in order to find x we do 2x + y = 90.6. First we change Y to the 35, as that is what y equals, then subtract both sides by 35 to get 2x = 55.6. Then you divide both sides by 2 to get x = 27.8.
What’s the GCF of (45x power of 2) y, and (54xy power of 2)
Answers
Answer:
[tex]9xy[/tex]
Step-by-step explanation:
I suppose you're asking for the GCF of [tex]45x^2y[/tex] and [tex]54xy^2[/tex].
[tex]45x^2y = 3^2 \times 5 \times x^2 \times y\\54xy^2 = 2 \times 3^3 \times x \times y^2[/tex]
The GCF is [tex]3^2 \times x \times y = 9xy[/tex].
A salesperson at a jeweraly store that earns 7% commission each week last week Jared sold $680 worth of jewelry how much did he make in commission how much did the jewelry store make from his sales
Answers
Given :
A salesperson at a jewelry store that earns 7% commission each week last week Jared sold $680 worth of jewelry.
To Find :
How much did he make in commission.
Solution :
Let, commission he make is C.
So, C is 7% of $680 .
[tex]C = \dfrac{680\times 7}{100}\\\\C = \$ 47.6[/tex]
Therefore, salesperson will make $47.6 commission.
When our family went out to dinner, the bill came to $55.75. There was 7%
tax and we left a 20% tip. Find the total price.
A.$15.05
B.$40.70
C.$82.75
D.$70.80
Answers
Leland swam from the dock east 26 meters. He turned and swam another 10 meters, as shown in the diagram below. 26 m Dock 10 m What is the value of x, the distance Leland swam to return to the dock?
Answers
Answer:
x=12
Step-by-step explanation:
Answer:
24m
Step-by-step explanation:
you can use khan academy to help you out on this kind of stuff
write an equation of the line that passes through the given point with the given slope. (-1,4) m=-3
Answers
Answer:
y - 4 = -3(x + 1)
Step-by-step explanation:
Let's use the point-slope formula y - k = m(x - h):
y - 4 = -3(x + 1)
Lake Michigan is one of five great lakes in north america.In summertime, lake Michigan recedes about 1/4 foot per hour. Lake Michigan is about 279 ft. In depth.
Answers
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete. However, a possible question is "calculate the depth of the lake after certain number of hours (say 2 hours)"
Given
[tex]Rate = \frac{1}{4}ft/hr[/tex]
[tex]Depth = 279ft[/tex]
First, we calculate the depth receded.
If the rate is 1/4ft per hour
Then
The Depth receded in 2 hours is:
[tex]Receded = \frac{1}{4} * 2[/tex]
[tex]Receded = \frac{2}{4}[/tex]
[tex]Receded = 0.5ft[/tex]
The new depth is then calculated as:
[tex]New\ Depth = 279ft - 0.5ft[/tex]
[tex]New\ Depth = 278.5ft[/tex]
9) Josie had $89 in her bank account. She recently got a job and is able to save $107 each
paycheck. To represent the situation a student wrote the equation y = 89x + 107. What is
wrong with the students equation? Describe the error and correct it.
Answers
Answer: the x should be next to the 107 instead of the 89
Step-by-step explanation:
Can somebody please solve this problem. I need help
Answers
Answer:
X=4
Step-by-step explanation:
4(x+12) = 19x-12
4x+48= 19x-12
sub 4x from both sides
48= 15x-12
add 12 to both sides
60=15x
divide 15 from both sides
and 60/15 =4
Answer:
[tex]4(x + 12) = 19x - 12 \\ 4x + 48 = 19x - 12 \\ 4x - 19x = - 12 - 48 \\ - 15x = - 60 \\ x = \frac{60}{15} \\ x = 4[/tex]
Need help please will give brainliest
Answers
Answer:
x = 60
Step-by-step explanation:
The formula for this kind of question is
Area of sector = x / 360 * pi * r^2 = 24*pi
x/360 * pi * 12^2 = 24 pi
x/360 * pi * 144 = 24 pi the pi s cancel out
x / 360 = 24/144 Multiply both sides by 360
x = 24 * 360/144
x = 60
301,251,769 to the nearest ten thousand
Answers
Answer:
301,250,000
I'm pretty sure that's it.
I really help with this ill mark u brainliest pls
Answers
Answer:
[tex] m\angle XYW = (155 - 20x
)\degree [/tex]
Step-by-step explanation:
[tex]m\angle XYZ= m\angle XYW +m\angle WYZ\\\\
150\degree = m\angle XYW +(20x-5)\degree \\\\
150\degree - (20x-5)\degree = m\angle XYW \\\\
(150 - 20x
+5)\degree = m\angle XYW \\\\
(155 - 20x
)\degree = m\angle XYW \\\\
m\angle XYW = (155 - 20x
)\degree \\\\
[/tex]
Which of the options below show a pair of supplementary angles? Select all that apply.
A) 160°, 20°
B) 120°, 40°
C) 45°, 135°
D) 30°, 120°
Answers
Answer:
A and C
Step-by-step explanation:
A) 160 + 20 = 180
B) 120 + 40 = 160
C) 45 + 135 = 180
D) 30 + 120 = 150
All supplementary angles must add up to 180 degrees.
PLEASE HELP FAST
Solve for X
Answers
Answer:
x = 26
Step-by-step explanation:
[tex]\frac{12}{x-2} = \frac{13}{x}[/tex]
Cross-multiply => 12x = 13x - 26
Isolate x => -x = -26
Divide by -1 => x = 26
z=2 = 27
_____ __
4 12
Answers
Answer:
hmmmmmm
i believe that the answer is _
because of _
(i helped w/ your other one lol)
Step-by-step explanation:
The price of a pair of shoes increases from $52 to $80. What is the percent increase to the nearest percent?
Answers
Step-by-step explanation:
Price increase = $80 - $52 = $28.
Percentage increase = ($28/$52) * 100%
= 53.8% = 54%. (nearest percent)
Answer:
53%
Step-by-step explanation:
With a knowledge of strings and numbers, you can announce equations to the user. Create a file that includes four different equations created with JavaScript. Each equation should be displayed to the user through JavaScript (an alert, HTML output, etc). The left side of the equation and the equal sign should be in a string, and the answer should be the actual calculation. Do not type in the answer as part of the string.
Hint: When you concatenate these two data types, place the calculation inside parentheses. Concatenating a string and a number will coerce your number into becoming a string, so you’ll want the calculation to be executed before that happens.
When you are finished, make sure your files are up and working on your Neocities account. Submit your URL to your teacher to complete the assignment. Be sure your site functions live on Neocities and contains all of the assignment's requirements. Your assignment will be graded based on the rubric below.
Answers
Answer:
//
Step-by-step explanation:
draw a number line with the solution to :1/4 - 1/2
Answers
25t=12.5
find the value of t
Answers
Answer:
t = 0.5
Step-by-step explanation:
Divide both sides by 25.
t = 12.5/25
t = 0.5
