Given:
Vertices of a square are A(-4,6), B(5,6) C(4,-2), and D(-5,-2).
To find:
The intersection of the diagonals of square ABCD.
Solution:
We know that diagonals of a square always bisect each other. It means intersection of the diagonals of square is the midpoint of diagonals.
In the square ABCD, AC and BD are two diagonals. So, intersection of the diagonals is the midpoint of both AC and BD.
We can find midpoint of either AC or BD because both will result the same.
Midpoint of A(-4,6) and C(4,-2) is
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-4+4}{2},\dfrac{6+(-2)}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{0}{2},\dfrac{6-2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{0}{2},\dfrac{4}{2}\right)[/tex]
[tex]Midpoint=\left(0,2\right)[/tex]
Therefore, the intersection of the diagonals of square ABCD is (0,2).
can you find the value x in the f figure
Answer:
[tex]x =[/tex] [tex]16\frac{2}{11}[/tex]
Step-by-step explanation:
According to the image, those are verticle angles, so I came up with this equation that can help me solve this problem:
5x+12+6x-10=180
11x+2=180
11x=178
x=[tex]16\frac{2}{11}[/tex]
If triangle A B C is congruent to triangle D E F, the measure of angle A equals 55 degrees, and the measure of angle E equals 25 degrees, what is the measure of angle C?
A. 25°
B. 55°
C. 80°
D. 100°
Answer:
D. 100
Step-by-step explanation:
Answer:
100°
Step-by-step explanation:
Since ΔABC ≅ Δ DEF, and the sum of the measures of the interior angles of a triangle is 180°, subtract the given angle measurements from 180°.
∠A ≅ ∠D, ∠B ≅ ∠E, ∠C ≅ ∠F (The vertices are written in this order because they are corresponding angles.)
180° - 55° = 125° - 25° = 100°
∠C is 100°
(A "brainliest" would be nice here! LOL)
Please help ASAP!! 20 points givin
Answer:
d or b
Step-by-step explanation:
quick math
What is the solution to the system of equations? =6x=y=8 5x+3y = 29 (10,-2) (10, 2) O (2, 10) (-2, 10)
ANSER FOR REAL OR BANHAMMER WILL BE IN YOUR FACE
Step-by-step explanation:
Since the square is folded along its diagonal,
Perimeter of each triangle
= 2 * Side of square + Diagonal of square.
Side of square
= √(Area of square)
= √(49in²) = 7in.
Diagonal of square
= √(2 * Area of square)
= √(98in²) = 7√2in.
Hence we have 2 * 7in + 7√2in = 7(2 + √2) in.
PLEASE HELP
I think the answer is either 18 pounds or 26
The scatter plot shows the weight of a baby panda in the months after it is born. How much would you expect a 5 month old baby panda to weigh?
Answer:
Im pretty sure its 21 pounds.
What number could be added to the product of (-7)(-6) so that the sum is equal to 272
Answer:
(-7)(-6)=42
272-42=230
Step-by-step explanation:
230 is the answer
I’m stuck again on this one
Answer:
8.7 cm
Step-by-step explanation:
Since all sides of the given shape are equal, so it is a cube.
So length of the diagonal of cube is give as:
[tex]l(diagonal) = l \sqrt{3} \\ \\ = 5 \times 1.732 \\ \\ = 8.66 \\ \\ l(diagonal) \approx8.7 \: cm[/tex]
Can someone help me please
A
Yasmin buys 9 cakes for £10.71. How much does 1 cost?
B
Ben buys 5 pencils for 80p.how much does 1 cost?
C
Maya buys 6 chocolate bars for £3.12. How much does 1 cost?
Answer:
1.19 is the price for Yasmin.
16p is the cost for Ben.
0.52 is the cost for 1.
Step-by-step explanation:
Divide them all and you will get your answer.
1+1=? HHHHHHELP!!!!!!!
Answer:
2,thanks,for the points
Pythagorean Theorem Quiz.
1.) Find the unknown side length. Simplify answers that are radicals.
4
3
2.) Find the unknown side length. Simplify answers that are radicals.
16
12
Answer:
1.) 5 2.) 10.58
Step-by-step explanation:
For each one, you use the equation a^2 + b^2 = c^2 where c is the "hypotenuse"-- the side of the triangle opposite (facing) the right angle which is shown with a small box. The variables a and b do not matter, as long as they are the "legs", the other 2 sides.
So it is 4^2 + 3^2 = c^2 which simplifies to 16+9=25=c^2 and square root both sides and you get c=5
and 12^2 + b^2 = 16^2 which simplifies to 144+ b^2 = 256 and subtract 144 from both sides and you get b^2 = 112 and square root both sides and it is approximately 10.6 :)
When Jose woke up the temperature was 74°. It
reached a high temperature of 91°. What was
the percent of increase of these temperatures?
Answer:
22.97
Step-by-step explanation:
Given that,
Initial temperature = 74°
After some time, the new temperature = 91°
We need to find the percent increase in the temperature.
The formula for the percentage increase is given by :
[tex]\%=\dfrac{|\text{final value-initial value}|}{\text{initial value}}\times 100\\\\=\dfrac{91-74}{74}\times100\\\\=22.97\%[/tex]
So, the increase in temperature is 22.97%.
I need a little help on this.
Which quadrilateral has two pairs of equal sides and each pair is a different length?
Answer:
rectangle hope it helpss
What should be done so that the expression will have a value of 10?
12 - 2 + 22 ÷ 8
Add parentheses around 2 + 2.
Add parentheses around 12 - 2.
Add parentheses around 2 2 ÷ 8.
Nothing needs to be done.
Answer:
Add parentheses around 2 + 2.
Step-by-step explanation:
(Pic provided)
243 is equivalent to...
0 35
94
28
3
Help I’m timed :(
Answer:
The answer is 3⁵
Step-by-step explanation:
3×3×3×3×3
9×9×3
81×3
243
Aubrey is going to see a movie and is taking her 2 kids. Each movie ticket costs $13 and there are an assortment of snacks available to purchase for $4 each. How much total money would Aubrey have to pay for her family if she were to buy 3 snacks for everybody to share? How much would Aubrey have to pay if she bought x snacks for everybody to share?
Answer:
$51
Step-by-step explanation:
do 13*3 because of the 2 kids and the adult then add 12 because of the snacks
hope this helps
Answer:
51 and what?
Step-by-step explanation:
3 x 13 = 39 4 x 3 = 12
39 + 12 = 51
what is x supposed to be, sorry, i suck at variables
Select the procedure that can be used to show the converse of the Pythagorean theorem using side links chosen from 3 feet, 4 feet, 5 feet in 6 feet
Answer: B
Step-by-step explanation:
I got it on Aprx
The 3 feet side and 4 feet side with a right angle between them. Then the 5 feet side will fit to form a right-angle triangle. Then the correct option is B.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
Pythagorean theorem using side links chosen from 3 feet, 4 feet, 5 feet in 6 feet.
Then
5² = 3² + 4²
25 = 9 + 16
25 = 25
The 3 feet side and 4 feet side with a right angle between them. Then the 5 feet side will fit to form a right-angle triangle.
Then the correct option is B.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ2
It’s in the picture please and thank you ^*
Answer:
38 degrees
Step-by-step explanation:
3x+2x+15+95+60=360
the sum of the angles of a quadrileteral=360
5x+170=360
5x=360-170
5x=190
x=190/5
x=38 degrees
35, 32, 29, 26… what is the 101st term?
Answer:
-277
Step-by-step explanation:
Answer:
-277?
Step-by-step explanation:
Complete the reminder of the table for the given function rule
Answer:
1 then -2 then -5
Step-by-step explanation:
Please help me with this Its kind of frustrating
Answer:
you have too see what makes 36, 42 ,48 and 27
Step-by-step explanation:
What value of n makes the equation true?
Answer:
-0.7
Step-by-step explanation:
First do 3.2-1.8= 1.4. So now we know that -2n=1.4. Next you solve for n to get the answer of -0.7 with your answer of the third option.
Could somebody pls help me with this question
Answer:
18 minutes is the answer
Step-by-step explanation:
•Time couple rested in 2 hrs = 12 min
•Time couple rested in 1 hr = 12/ 2 min = 6min
•Time couple rested in 3 hrs = 6×3 min = 18 min
HOPE IT HELPS YOU
MARK ME AS BRAINIEST
AND YOU CSN THANK ME IN THE COMMENT
Mark his brainly nowwww
Answer:
Mark who brainly when?
<3 id.k understand
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´^`
A figure has been dilated from the origin by a scale factor of one seventh. if another dilation from the origin maps the dilated image back
onto the original figure, what is its scale factor?
Answer:
its scale factor is 3
Step-by-step explanation:
plz mark brainliest
To map the dilated image back onto the original figure, the scale factor needed is 7.
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Dilation is the increase or decrease in the size of a figure by a factor.
If a figure is dilated from the origin by a scale factor of one seventh, it is given by:
(x, y) ⇒ [(1/7)x, (1/7)y]
To map the dilated image back onto the original figure, the scale factor needed is 7. Hence:
[(1/7)x, (1/7)y] ⇒ (x, y)
Find out more at: https://brainly.com/question/11707700
What is the equation in point−slope form of the line passing through (−3, −4) and (0, 2)?
Use the table below to answer this question:
x y
0
2
1
−1
2
−6
Find the average rate of change for the given function from x = 0 to x = 2.
Answer:
The answer is A
The starting annual salary for an office worker at a company is $29,000. If the company
awards an annual increase of 6.2%, which graph models this situation after the office worker
receives x annual increases?
Office Worker's Salary
Answer:
On my screen the answer would be A
Step-by-step explanation:
but it could be different for u but I found the answer on Quizizz picture down below
The graph models this situation after the office worker receives x annual increases is to be considered as an option A.
Calculation of the graph model;Since
The starting annual salary for an office worker at a company is $29,000. If the company awards an annual increase of 6.2%.
So, based on the given graph we can say that The graph models this situation after the office worker receives x annual increases is to be considered as an option A.
Learn more about graph here: https://brainly.com/question/24613103
A gumball machine has 6 red gumballs, 3 green
gumballs, and 5 blue gumballs. What is the
probability that the next gumball that comes
out will be red?
A 1/14
B 1/3
C 3/7
D 3/4
Answer:
D 3/4
Step-by-step explanation:
;)