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Elan Coil [88]
3 years ago
14

place a square on a coordinate graph and label each vertex with variables. prove that the diagonals of a square are congruent an

d perpendicular to each other.
Mathematics
1 answer:
PtichkaEL [24]3 years ago
7 0

All quadrilaterals has a total measure of angle equal to 360 degrees. In the parallelogram ABCD, m<B = m<D = 41. So if m<B = m<D = 41, we have 41 + 41 = 82 degrees. Since the parallelogram is a quadrilateral, it has a total measure of angle of 360 degrees. So 360 – 82 is equal to 278 degrees. If the measure of angle C is equal to the measure of angle A, divide 278 by 2. We get 139 degrees. To confirm if the parallelogram ABCD has a total measure of 360 degrees, add 41 + 41 + 139 + 139 = 360 degrees.

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Can somebody help me with this. 35 points! :)))))
Vanyuwa [196]
HAIIII!!!! Your best option is C which shows 40 degrees!! I wish you best of luck
6 0
2 years ago
Find an equation of the circle that has center (-4,3) and passes through (6,-4).
kumpel [21]

Answer:

(x+4)^2+(y-3)^2=149

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is the center of the circle and r is the radius of the circle.

Given that (h,k)\rightarrow(-4,3) and it passes (6,-4), their distance between each other must the radius of the circle, so we can use the distance formula to find the radius:

d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(-4-3)^2+(6-(-4))^2}\\\\d=\sqrt{(-7)^2+10^2}\\\\d=\sqrt{49+100}\\\\d=\sqrt{149}

Therefore, if the length of the radius is r=\sqrt{149} units, then r^2=149, making the final equation of the circle (x+4)^2+(y-3)^2=149

5 0
2 years ago
Write in terms of i.<br> Simplify your answer as much as possible.<br> -8
Goryan [66]

Answer:

In order to begin figuring that out, we need to know about the equation.

3 0
2 years ago
Randy has to raise $50.00 to repair his bicycle. He is only $1.00 short. He has only $1 and $5 bills. If he has one more $1 bill
Nezavi [6.7K]

Answer:

Randy has eight $5 bills and nine $1 bills

Step-by-step explanation:

Randy needs $50.00

And we know that he his only $1.00 short, so he has $49.00

let's define:

x = number of $1 bills that he has

y = number of $5 bills that he has.

then:

x*$1 + y*$5 = $49

We know that he has one more $1 bills than $5 bills.

we can write this as

x = y + 1

So we have a system of two equations and two variables:

x*$1 + y*$5 = $49

x = y + 1

First we can see that the variable "x" is isolated in the second equation, now we can replace that in the other equation:

x*$1 + y*$5 = $49

(y + 1)*$1 + y*$5 = $49

now we can solve this for y.

y*$1 + $1 + y*$5 = $49

y*($1 + $5) = $49 - $1 = $48

y*$6 = $48

y = $48/$6 = 8

He has 8 $5 bills

and we know that:

x = y + 1

x = 8 + 1 = 9

he has 9 $1 bills.

8 0
3 years ago
Question is in pic! Plz show work!
kipiarov [429]

Answer:

x = 10   and x = -2

Step-by-step explanation:

The equation has 2 solutions because we have a square.  When things are squares, we get a positive and negative solution.

(x-4)^2 - 28 = 8

Add 28 to each side

(x-4)^2 - 28+28 = 8+28

(x-4)^2  = 36

Take the square root of each side

sqrt((x-4)^2)  = ±sqrt(36)

x-4 = ±6

Add 4 to each side

x-4+4 = 4 ±6

x = 4 ±6

x = 4+6    and   x = 4-6

x = 10   and x = -2

4 0
2 years ago
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