Answers
Answer:
14. x = 6, y = 8
15. x = 5, y = 7
16. x = 7, y = 10
Step-by-step explanation:
For a parallelogram, the length across the point of intersection of its diagonals are equal.
So that;
14. PT = TR
QT = TS
So that,
2x = y + 4
2x - y = 4 ...........1
x + 2 = y
x - y = -2 ............. 2
subtract equation 2 from 1,
x = 6
substitute the value of x in equation 1,
2 x 6 - y = 4
y = 12 - 4
= 8
x = 6, y = 8
15. PT = TR
QT = TS
x + 2 = y
x - y = -2 .......... 1
2x = y + 3
2x - y = 3 ......... 2
Subtract equation 1 from 2
x = 5
substitute the value of x in equation 1
5 - y = -2
5 + 2 = y
y = 7
x = 5, y = 7
16. PT = TR
QT = TS
y = x + 3
x - y = -3 ......... 1
2y = 3x -1
3x - 2y = 1 ......... 2
Multiply equation 1 by 2 to have;
2x - 2y = -6 ....... 3
subtract equation 3 from 2
x = 7
substitute the value of x in equation 1
7 - y = -3
-y = -7 -3
-y = -10
multiply through by minus
y = 10
x = 7, y = 10
Related Questions
which set of vaules could be the side lengths of a 30-60-90 triangle
Answers
Answer:A 30-60-90 right triangle is a special right triangle in which one angle measures 30 degrees and the other 60 degrees. The key characteristic of a 30-60-90 right triangle is that its angles have measures of 30 degrees (π/6 rads), 60 degrees (π/3 rads) and 90 degrees (π/2 rads). The sides of a 30-60-90 right triangle lie in the ratio 1:√3:2.
Step-by-step explanation:
The side lengths of a 30-60-90 triangle can be expressed as x, x√3, and 2x, where x is a positive constant.
We have,
In a 30-60-90 triangle, the angles measure 30 degrees, 60 degrees, and 90 degrees.
The side lengths of a 30-60-90 triangle have a specific ratio.
Let's denote the length of the shortest side as x, the length of the side opposite the 60-degree angle as y, and the length of the hypotenuse as z.
The ratios of the side lengths in a 30-60-90 triangle are as follows:
Shortest side: x
Side opposite 60-degree angle: y = x√3
Hypotenuse: z = 2x
Given this ratio, we can determine which set of values could be the side lengths of a 30-60-90 triangle.
The values must satisfy the above relationships.
Possible sets of values for the side lengths of a 30-60-90 triangle are:
Set 1:
x = 1
y = x√3 = √3
z = 2x = 2
Set 2:
x = 2
y = x√3 = 2√3
z = 2x = 4
Set 3:
x = 3
y = x√3 = 3√3
z = 2x = 6
Set 4:
x = k (where k is any positive constant)
y = x√3 = k√3
z = 2x = 2k
These sets of values satisfy the ratios for a 30-60-90 triangle.
Remember that the ratios are consistent, so any positive constant can be chosen for the length of the shortest side (x), and the other side lengths (y and z) will follow accordingly.
So,
Any set of values that satisfy the ratios given above could be the side lengths of a 30-60-90 triangle.
Thus,
The side lengths of a 30-60-90 triangle can be expressed as x, x√3, and 2x, where x is a positive constant.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
16 is what present of 64
Answers
Answer:16% x 64
Step-by-step explanation:
Answer:10.24
Step-by-step explanation:
HELP I NEED HELP IMIDIETLY SORRY I CANT SPELL IM SO CONFUSED
Answers
Answer:
I'm pretty sure you need more information, but I could be wrong
Step-by-step explanation:
Answer:
it's 74
Step-by-step explanation:
A and C are supplementary, that means that they add up to 180.
We know that A is 106, so if we take 180 and subtract 106 from it, we get 74.
easy question. what’s the value of x :)))
Answers
The correct answer
2x+6+7=?
i need help
Answers
Answer: 26
6 plus 7 is 13 so 13 x 2 is 26
Step-by-step explanation:
If triangle ABC is defined by the coordinated A(3,6), B(7,6), C(7,3) is dilated by a scale factor of 3, with resulting vertex A' at (9,18). What is the the center of dilation?
Answers
Answer:
Center of dilation → (0, 0)
Step-by-step explanation:
Vertices of a triangle ABC are A(3, 6), B(7, 6) and C(7, 3).
If this triangle is dilated by a scale factor of 'k' about the origin,
Rule for the dilation is,
(x, y) → (kx, ky)
If vertex A is dilated by a scale factor of 3 about the origin,
A(3, 6) → A'(3×3, 3×6)
→ A'(9, 18)
Therefore, center of dilation is origin (0, 0).
Corey bought 2 1/2 liters of paint for$60
Answers
What is the image point of (-6,-9)(−6,−9) after a translation left 1 unit and down 5 units?
Answers
Answer:
(-7,-4)
Step-by-step explanation:
-6-1=-7
-9-(-5)=-4
What is the solution to the system of equations below?
X+ 3y = 15
and 4x+ 2y = 30
O (6,3)
O (3,6)
O (7,-6)
O (-6, 7)
Answers
Answer:
(6,3)
Step-by-step explanation:
Here is the system of equations:
x+3y=15
4x+2y=30
Since we have x with a coefficient of 1 in the first equation, let's use substitution to solve this system.
In the first equation, subtract 3y from both sides
x=-3y+15
now substitute -3y+15 as x in the second equation, and solve for y
4(-3y+15)+2y=30
do distributive property
-12y+60+2y=30
combine like terms
-10y+60=30
subtract 60 from both sides
-10y=-30
divide by -10
y=3
Now, substitute y as 3 into either one of the equations to solve for x.
For example, let's use x=-3y+15
x=-3(3)+15
multiply
x=-9+15
x=6
The answer is x=6 and y=3. As a point it's (6,3)
Hope this helps!
Hey I need to survey 10 people who play video games so please answer or comment your answers down below :)
Survey ten people who play video games. Ask them these questions:
Why do you play video games?
What types of games do you play?
How long have you been playing video games?
How do you think video games will be played in the future?
Do you think video games will converge to a single platform in the future?
Thanks <3
Answers
Playing video games helps me if I have a rough time, I started around 2019. I play adventour type video games, not sure if raft counts, but that is a game I play too often with my friends. I think that video games probably could be played in cars as well but I dont know what else it can be or will be played on. Definitely will not be a single platform, people are too greedy everyone wants a better state then others. (not sure if that makes sense)
hope this helps :))
A store offers four different brands of a product. It decides to eliminate one
brand based on the likelihood a customer will return that brand. The table
shows the number of items of each brand that were returned over the past
year and the total sold.
Returns
Total sold
Brand A
28
594
Brand B
15
426
Brand C
27
664
Brand D
25
313
Which brand should the store consider eliminating?
I
Answers
Answer:
28/594 X 100= 4.7 %
15/426 X 100 =3.5%
27/664 X 100=4.1%
25/313 X 100=8%
they should eliminate brand d
Yasmin purchased 6 heads of cabbage that each weighed 2 and StartFraction 3 over 8 EndFraction pounds. How much did the cabbage weigh all together?
Answers
Answer:
14 and 1/4
Step-by-step explanation:
So the equation would be-
6 x 2 and 3/8
I would break this up, so
6 x 2 = 12
6 x 3/8 = 18/8
Simplify
18/8 = 9/4 = 2 and 1/4
12 + 2 and 1/4 = 14 and 1/4
Answer:
14 and 1/4
Step-by-step explanation:
A flagpole casts a 32-foot shadow at the same time that Evan casts a 9-foot shadow. If Evan is 6 feet tall, how tall is the flagpole?
Answers
Answer:
48
Step-by-step explanation:
by dividing 9 by 6 you get 1.5 and by using distribution you also multiply 32 by 1.5 to get 48
Represent the following expression with a single rational number.
-2 ⅖ + 3 ¼ - ⅗
HELP ME PLS
Answers
Answer:
1/4
Step-by-step explanation:
-2 2/5 + 3 1/4 - 3/5
-12/5 + 13/4 - 3/5 =
1/4
Really need your help
Answers
Answer:B and D yes, A and C no
Step-by-step explanation:
pls brainliest
the length of the red line segment is 6
Answers
Answer:
What is the question or image?
Step-by-step explanation:
Need it to solve
What is the length of segment AB?
A) 2
B)2.5
C) 5
D) 10
Answers
Answer:
10..................
what is 3/4 divided by 1/8 equals
Answers
Answer:
6
Step-by-step explanation:
[tex]\frac{3}{4}[/tex]÷[tex]\frac{1}{8}[/tex]
[tex]=\frac{3}{4} \times \frac{8}{1}[/tex]
[tex]=\frac{3\times8}{4\times1}[/tex]
[tex]=\frac{24}{4}[/tex]
[tex]=\frac{24/4}{4/4}[/tex]
[tex]=6[/tex]
Is (4,3) a solution of the graphed inequality?
Answers
Apply the distributive property to factor out the greatest common factor. 44+48=44+48=44, plus, 48, equals
Answers
2040
&Go do no cheat or dis
Answer: 4(11+12)
Step-by-step : don't ask why I'm even answering this
1. The solution to a system of equations is (6,-3). Choose two equations that might
make up the system.
A. y = -2r+6
B. y = 2x - 9
C. y = -5x + 27
D. y = 2x - 15
E. y = -4x + 27
Answers
Please Help Me
Find the premiter of the semi circle l. Round to the nearest hundredth ( use Pi key)
Answers
Answer:
circumference of a circle = πd
π12 = 37.6991118
37.6991118/2 = 18.8495559
18.8495559 + 12 = 30.8495559
perimeter = 30.85
find f(-3) f(x) = 4x+7
Answers
Answer:
-5
Step-by-step explanation:
4(-3) + 7
-12+7
Answer:
f(-3) = -5
Step-by-step explanation:
f(x) = 4x + 7
f(-3) = 4(-3) + 7
f(-3) = -12 + 7
f(-3) = -5
Write an equation that described how many cups of milk, m, would be needed for b cups of blueberries. 6 cups of milk for 2 cups of blueberries
Answers
Answer:
6 x 2 = ?
6 x 2 = 1 2
Step-by-step explanation:
6 cups of milk and 2 cups of blueberries multiply them from each other and you get your answer .
WILL GIVE BRAINLIEST
In the two-step equation below, what is the second step you would take to solve this equation?
3/4f+5=-5
a. Multiply both sides by 4/3
b. Add five to both sides.
c. Multiply by sides by 3/4
d. Subtract 5 from both sides.
Answers
Answer:
a. Multiply both sides by 4/3
Step-by-step explanation:
Since you're dealing with a fraction, multiplying both sides by the reciprocal, which is the fraction flipped, it could cancel out the fraction so now x is alone on one side.
Hope this helped! :)))
The scatter plot shows the number of passengers at a major airport over a 15-year period from the year 2000. About how many passengers traveled through this airport in the year 2011?
Answers
Answer:
The answer is 65
Step-by-step explanation:
First, determine the x-value that corresponds to the given year.
Since x corresponds to the number of years since 2000, the year 2009 corresponds to an x-value of 9.
Next, find the y-value on the trend line that corresponds to an x-value of 9. The problem statement has been updated to show lines traced from the x-value of 9 to the trend line and then to the y-value.
Notice that the point (9,70) appears to lie on the trend line.
Therefore, in 2009, approximately 70 million passengers travelled through the airport.
Question is complete.
Answer:
Step-by-step explanation:
gulp
The radius of the base of the right circular cone shown below is 5 inches and the height of the cone is 7 inches solving which of the gollowing equations gives the measure 0 of the angle formed by a height of the cone and a radius
Answers
Answer:
The required equation is [tex]\tan\theta=\dfrac{7}{5}[/tex].
Step-by-step explanation:
Consider the provided information.
The required figure is shown below:
It is given that the radius of the base is 5 inches and the height of the cone is 7 inches.
We need to given the equation which gives the measure of [tex]\theta[/tex].
Now consider the right angle triangle making an angle [tex]\theta[/tex].
[tex]\tan\theta=\frac{\text{Opp}}{\text{Adj}}[/tex]
[tex]\tan\theta=\dfrac{7}{5}[/tex]
Hence, the required equation is [tex]\tan\theta=\dfrac{7}{5}[/tex].
Help now or your mom give u wedgie
Investors buy a studio apartment for $140,000. Of this amount, they have a down payment of $14,000. Their down payment is what percent of the purchase price? What percent of the purchase price would a $56,000 down payment be?
Answers
3D In the cryptarithm shown, different letters stand for different digits, and no leading digit can equal 0. Find the greatest possible value of "OFF".
Answers
Answer:
1961
Step-by-step explanation:
The greatest value of OFF can be achieved by making the hundreds places the greatest, followed by the tens, and then the ones.
S=9
A=8
U=7
T=6
N=5
986+975=1961
Answer:
955
Step-by-step explanation:
OFF = 955
hope this helps:)
-10 is 9 less than a number w
Answers
Answer:
-1
Step-by-step explanation:
To figure this answer out, you add 9 to -10, which is -1
Hope this helps