Answers
Answer:
They bisect each other.
Step-by-step explanation:
→Solution,
Here, coordinate of quadrilateral DEFG are D(-3,-5), E(-4,3), F(2,6) and G(3,-2).
⇒For diagonal DF.
Let,(x1,y1)=(-3,-5)
(X2,Y2)=(2,6)
→Using midpoint formula.
[tex]x=\frac{x_1+x_2}{2} ,y=\frac{y_1+y_2}{2} \\\\x=\frac{-3+2}{2} ,y=\frac{-5+6}{2}\\\\x=\frac{-1}{2} ,y=\frac{1}{2}[/tex]
⇒For diagonal EG.
Let,(x1,y1)=(-4,3)
(X2,Y2)=(3,-2)
→Using midpoint formula.
[tex]x=\frac{x_1+x_2}{2} ,y=\frac{y_1+y_2}{2} \\\\x=\frac{-4+3}{2} ,y=\frac{-2+3}{2}\\\\x=\frac{-1}{2} ,y=\frac{1}{2}[/tex]
Here, the midpoint of diagonal DF and EG is equal.
Hence they bisect each other.
Midpoint of DF and EG must be same
#DF
M(x,y)
((-3+2)/2,(-5+6)/2)(-1/2,1/2)#EG
P(x,y)
((-4+3)/2,(3-2)/2)(-1/2,1/2)As mid points are equal diagonals bisect each other
Related Questions
Help help pls pls!!!
Answers
Answer:
b
Step-by-step explanation:
eg2022
Please help with this geometry work asp
Answers
Answer:
x=21
y=45
z=101
Step-by-step explanation:
Angles crossing each other are congruent
86=4x+2
84=4x
x=21
Quadrilateral has 360 degrees
86 + 86 + 2y+4 + z-7 = 360
172 + 2y+4 + z-7 = 360
2y+4=94
2y=90
y=45
z-7=94
z=101
mark brainliest please!
The area of a piece of land is 4,951,000 square meters how is this number of square meters written in scientific notation
Answers
Answer:
its 4.951 x 106
Step-by-step explanation:
i took the tfar from k12
The area of a piece of land in scientific notation is 4.95 * 10⁶ square meters
How to determine the area of a piece of land in scientific notationfrom the question, we have the following parameters that can be used in our computation:
Area = 4,951,000 square meters
To write the area in square meters in scientific notation, we have
Area = 4.95 * 1,000,000 square meters
So, we have
Area = 4.95 * 10⁶ square meters
Hence, the area is 4.95 * 10⁶ square meters
Read more about scientific notation at
https://brainly.com/question/34659710
#SPJ3
help me ive been up all night doing math
Answers
Answer:
See below ~
Step-by-step explanation:
(a)
The point (8, 28) represents that in the time of 8 minutes, 28 cm of the horse trough has been filled.
8 minutes 28 centimeters(b)
Finding the unit rate
No. of centimeters / min.28 cm / 8 min3.5 cm/min50 PTS!!A right triangle has a leg measuring 16in. And 28in.
What is the length of the hypotenuse?
Round your answer to the nearest tenth.
1)23.0 in.
2)32.2 in.
3)44.0 in.
4)1040.0 in
Answers
Answer:
2) 32.2 in (nearest tenth)
Step-by-step explanation:
Pythagoras’ Theorem
[tex]\sf a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = 16 inb = 28 inc = hypotenuseSubstituting these values into the formula and solving for c:
[tex]\implies \sf 16^2+28^2=c^2[/tex]
[tex]\implies \sf 256+784=c^2[/tex]
[tex]\implies \sf c^2=1040[/tex]
[tex]\implies \sf c=\pm\sqrt{1040}[/tex]
[tex]\implies \sf c=\pm 32.2\:in\:(nearest\:tenth)[/tex]
As distance is positive, c = 32.2 in (nearest tenth)
Step-by-step explanation :
Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.
We'll find the measure of third side with the help of the Pythagorean theorem,
[tex]\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}} \\ \\ [/tex]
Here,
The base (BC) is 16 inThe perpendicular (AB) is 28 inThe hypotenuse is AC.[tex] \: [/tex]
So, substituting the values in the formula we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad (AC {)}^{2}= (16) {}^{2} + (28 {)}^{2} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (AC {)}^{2}=256 + 784 }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (AC {)}^{2}=1040 }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad AC = \sqrt{1040} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad AC = 32.24 }}} \\ \\[/tex]
Therefore,
The length of the hypotenuse (AC) is 32.2 in (Rounded to nearest tenth)Find the volume of each prism. Please help mee and thank you.
Answers
Answer:
Step-by-step explanation:
Kendra is a professional diver. She practices between 80-100 dives before every competition. About how many dives will she practice if she has 12 competitions?
Answers
Explanation:
If she practices 80-100 dives in 1 competition
You would times those numbers by 12 since there will be 12 competitions
Answer:
She will practice about 960-1200 dives before those competitions in total
Step-by-step explanation:
All you have to do is multiply the number of dives by the number of competitions she has.
Reflect the triangle in the mirror line.
Answers
The top left point will stay the same in the x-axis, and will be -4 on the y-axis
Finally, the top right point will stay true same on the x-axis, but will be -4 on the y-axis in its image.
If you could mark my answer the brainliest it would be very much appreciated!
This a a vector please help 30 points please brainliest
Answers
Answer:
Option #4:
[tex]X=\left[\begin{array}{ccc}10\\24\end{array}\right][/tex]
Step-by-step explanation:
Start With
[tex]\left[\begin{array}{ccc}5&-2\\2&-1\end{array}\right] \left[\begin{array}{ccc}2\\-4\end{array}\right][/tex]
1. Pivot Element
[tex]P_{1} =a_{1,1}=5[/tex]
[tex]\left[\begin{array}{ccc}5&-2\\2&-1\end{array}\right] \left[\begin{array}{ccc}2\\-24\end{array}\right][/tex]
2. Pivot Element Again
[tex]P_{2} =a_{2,2}=-1[/tex]
[tex]\left[\begin{array}{ccc}-1&0\\0&-1\end{array}\right] \left[\begin{array}{ccc}-10\\-24\end{array}\right][/tex]
3. Get x1 and x2 Values
[tex]\left \{ {{(-1)*x_{1}=(-10)} \atop {(-1)*x_{2}=(-24)}} \right.[/tex]
[tex]-x_{2} = (-24)\\x_{2} = 24\\\\-x_{1} = (-10)\\x_{1} = 10\\[/tex]
4. Get Answer
[tex]x_{1}=10\\x_{2}=24\\\\X=\left[\begin{array}{ccc}10\\24\end{array}\right][/tex]
A triangle has two sides of lengths 5 and 12. What value could the length of
the third side be? Check all that apply.
A. 9
B. 19
C. 5
D. 7
E. 17
F. 11
Answers
Answer:
Answer is A and F.
Step-by-step explanation:
To form a triangle the sum of any 2 sides must be greater than the third side.
The answer is not:
B as 5 + 12 < 19
C. as 5+5 < 12
D, as 7 + 5 = 12
E as 5 + 12 = 17
Answer is A and F.
Complete the square to find the
vertex of this parabola.
x² - 12y - 6x + 5 = 0
?]
-H
Answers
(3, -1/3)
[tex]\bold{EXPLANATIONS:}[/tex]
Can someone help me…
Answers
Answer:
that’s 700 divided by 0.54 or 700 x 0.54
Step-by-step explanation:
Answer:
that’s 700 divided by 0.54 or 700 x 0.54
Step-by-step explanation:
3. A scale drawing of a park is shown.
2.5 in
1.5 in
Scale: 1 in = 15 yd
If the scale is changed from 1 inch to 10 yards, which will be the scale drawing of the park?
A.
3.75 in
2 in
2.25 in
in
3
3 in
1.875 in
2 in
1.125 in
Answers
Answer: a
Step-by-step explanation:
Converting using the scale 1 in = 15 yd, we get that the dimensions of the park are 22.5 inches by 37.5 inches.
So, converting this back using 1 inch to 10 yards, we get dimensions of 2.25 inches by 3.75 inches.
Find the slant height of a cone of curved surface area 471.3 cm3 and base radius is 10 cm (take pi as 3.142)
Answers
Answer:
15
Step-by-step explanation:
471.3 = 3.142×10×H
H= 471.3÷31.42
H=15
Solve for x. The triangles in each pair are similar.
Answers
Step-by-step explanation:
similar triangles means that all angles in one triangle are exactly the same as the angles in the other triangle.
and the lengths of all sides of one triangle have the same scaling factor with the lengths of the sides of the other triangle.
so, when we compare the "features" of the triangles, we see that C corresponds to S, B to R and D to T.
so, DC (50) corresponds to TS (70).
and that means that CB (60) corresponds to SR (11x - 4).
the scaling factor from BCD to RST is 70/50 = 7/5.
that means DC × 7/5 = TS.
and CB × 7/5 = SR :
60 × 7/5 = 11x - 4
12 × 7 = 11x - 4
84 = 11x - 4
88 = 11x
x = 8
Which of the following shapes are quadrilaterals?
please help asap I'll make brainliest
Answers
Explanation:
A quadrilateral has four sides, and each side is a straight line.
Quad = 4
Lateral = side
This means we go for choices A and C.
Choice B is ruled out because of the curved side on the right.
Choice D is ruled out because it has 5 sides instead of 4.
Zoe Swam 25 laps in the pool but this was only 50% of her total swim. How many more laps doe she need to swim?
Answers
Answer:
25
Step-by-step explanation:
25
Answer: how many more means subtract so subtract and it will be 25 LLaps
Is the following a statistical question?
In what year did Thomas Jefferson become president of the United States?
it is on ixl
Answers
What does the slope of the function represent in this situation?
Answers
Slope of a function is defined as the rate of change of a function. It determine the unit price of values or amount traveled in unit time.
Slope of a functionSlope of a function is defined as the rate of change of a function. It determine the unit price of values or amount traveled in unit time.
The formula for expressing the slope of a function is given as;
f'(x) = f(b)-f(a)/b-a
a and b are the intervals
The slope can also be expressed as a function of its coordinate (x, y)
Slope = y2-y1/x2-x1
Learn more on slope here: https://brainly.com/question/1884491
Answer:
the increase in pressure per meter of depth and the next question is the pressure at the oceans surface
Step-by-step explanation:
edge 2022
Write two different equations with equal solution sets.
Answers
Answer:
x + 8 = 13
3x - 2 = 13
The solution set of both equations is {5}.
Step-by-step explanation:
x + 8 = 13
3x - 2 = 13
What is the value of x in the equation below?
Answers
Answer:
9
Step-by-step explanation:
[tex] \frac{6 + 2x}{4} = 6 \\ 6 + 2x = 6(4) \\ 2x = 24 - 6 \\ x = \frac{18}{2} \\ x = 9[/tex]
On a spinner with two equal sections labeled 2 and 3, Josie determines that the probabilities of landing on 2 or 3 are equally likely. How would she express each probability as a decimal?
A 0.05
B 0.1
C 0.5
D 1.0
PLEASE HURRY
Answers
A rectangular prism has a base of 15 ft2 and a height of 9 ft. What is the volume of the rectangular prism?
Answers
Answer:
135 ft^3
Step-by-step explanation:
Volume of a rectangular prism is basically just width x height x depth. So the area of the base multiplied by the height. 15 x 9 = 135
Answer: 135 ft³
Step-by-step explanation:
Volume, when dealing with a rectangular prism, is L * W * H
-> L * W can simplify to the base, as it does in the problem given to us.
V = (L * W) * H
V = B * H
V = 15 * 9
V = 135 ft³
The rectangular prism has a volume of 135 ft³.
I NEED HELP PLEASE I NEED TO KNOW HOW U GOT THE ANSWER PLEASE
Answers
Linear is basically a straight line. It can be increasing or decreasing.
Decreasing is when on the graph, when x increases, y decreases.
On the graph, there are two parts that are decreasing. Between -2 and 0, and Between 2 and 4. Let's look at these two.
- For between -2 and 0, the line is not straight. Therefore, it is decreasing and nonlinear. We can check if this is the right answer.
- For between 2 and 4, the line is decreasing. However, the line is straight, which means it is decreasing but linear.
Your final answer is B.
f(x) = 10x–4 and g(x) = 1/2 . What is the value of f(g(6))?
Answers
To solve f(g(6)):
⇒ we solve for g(6) first
⇒ then plug the value of g(6) into the 'x' position of f(x)
Let's Solve:
Solve for g(6)[tex]g(6) = \frac{1}{2}[/tex]
2. Plug g(6)'s value into f(x)
[tex]f(g(6))=f(\frac{1}{2} )=10(\frac{1}{2} )-4=5-4=1[/tex]
Thus f(g(6))'s value is 1
Answer: 1
Hope that helps!
how do i answer this question?
Answers
Answer:
[tex]f^{-1}[/tex] (59) = 20
Step-by-step explanation:
[tex]f^{-1}[/tex] (x) is the inverse of f(x)
to find the inverse function, let f(x) = y and rearrange to make x the subject.
y = 3x - 1 ( add 1 to both sides )
y + 1 = 3x ( divide both sides by 3 )
[tex]\frac{y+1}{3}[/tex] = x
change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = [tex]\frac{x+1}{3}[/tex] , then
[tex]f^{-1}[/tex] (59) = [tex]\frac{59+1}{3}[/tex] = [tex]\frac{60}{3}[/tex] = 20
y = 3x-1
——
x = 3y - 1
y = (x+1)/3
f^-1(x) = (x+1)/3
____
f^-1(59) = (59+1)/3 = 60/3 = 20
B
c
а
A
b
Use the diagram above and round your answer to the nearest hundredth.
If a is 6 in. and ZA = 31°, what is b?
Answers
Jason went shopping.
he bought a watch and a pair of trainers for a total price of £53.55
This price includes a 15% loyalty discount.
before the discount, the trainers were priced at £38.
work out the price of the watch before the discount
Answers
Answer:
£25
Step-by-step explanation:
100 - 15 = 85
53.55 ÷ 0.85 = 63
63 - 38 = 25
For each 15mm of coloured fabric Gavyn uses to make his curtains he also uses 2 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form
Answers
Answer:
Step-by-step explanation:
2cm = 2 * 10 mm
2 cm = 20 mm
for every 15 mm of colored fabric, Gavyn uses 20 cm of white fabric.
The ratio is expressed as white fabric to colored fabric.
Answer: Ratio white to colored = 20 / 15 = 4 / 3
Kate's Cupcakes sells cupcakes in boxes of 4. Depending on the type of cupcake, a box can cost at most $20. Let x represent how much each cupcake costs. Which inequality describes the problem?
Answers
Answer:
4×<=20
×<=5
AAAAA single Cupcake can cost at most $5.
Step-by-step explanation:
A cupcake needs to be $5 each for a box of 4 to cost $20. Meaning that a cupcake (x) will be $5 or less.