Solve for U U-5.6=4.73

Prove that a rectangle has congruent diagonals. Be sure to create and name the appropriate geometric figures.

Anni [7]

Answer:

The first way to prove that the diagonals of a rectangle are congruent is to show that triangle ABC is congruent to triangle DCB

Here is what is given: Rectangle ABCD

Here is what you need to prove: segment AC ≅ segment BD

Since ABCD is a rectangle, it is also a parallelogram.

Since ABCD is a parallelogram, segment AB ≅ segment DC because opposite sides of a parallelogram are congruent.

5 0

4 years ago

Find the value of 8! O A. 56 O B. 16,777,216 O c. 40,320 O D. 64

Ksivusya [100]

8! is 40,320

Step-by-step explanation:

Step 1: Find 8! (8 factorial).

Factorial of 8 is the product of 8 and all the integers below 8.

⇒ 8! = 8×7×6×5×4×3×2×1

= 40,320

8 0

4 years ago

Ftmdnydngdngd fbfdjj

levacccp [35]

Answer:

The above triangle is an isosceles triangle....

Reason

As we can see AB and DE are parallel to each other

As angle ABC is 80 degree

Therefore BCE is too 80 degree (as they both are alternate to each others)

Hence angle DCB is a 50 degree because in the straight DCE we have angle BCE as 80 degree and Angle ACD as 50 degree

Since a straight line has 180 degree therefore the remaining angle ACB is 50 degree(180-80-50)

Now in triangle BAC. Angle C is 50 degree and Angle B is 80 degree, since the total angle of a triangle is 180 degree therefore A is 50 degree that is angle BAC is 50 degree(180-50-80) .

Hence here we see that two opposite sides have same angle that is the reason its a ISOSCELES triangle

Answer BY AN INDIAN

THANK YOU

7 0

3 years ago

The third term of an arithmetic sequence is $5$ and the eighth term is $-20$. What is the product of the 4th and 2015th terms?

Andreas93 [3]

Answer:

0

Step-by-step explanation:

Let n be the first term of this sequence and d the difference between two consecutive terms.

Following the arithmetic sequence formula,

The equation for the 3rd term:

n + 2d = 5

and the equation for the 8th term:

n + 7d = -20

We should start by finding d by subtracting the second equation from the first.

n + 2d - (n + 7d) = 5 - (-20)

-5d = 25

d = -5

We can then find the 1st term by plugging this number into the first equation.

n + 2 * -5 = 5

n - 10 = 5

n = 15

Now, using once again the arithmetic sequence formula, find the equation for the fourth term.

n + (4 - 1)*d

Plug in the values we found previously and solve:

15 + (4 - 1)*-5

= 15 + 3*-5

= 15 + (-15)

= 0

The 4th term is 0.

Remember that this problem is asking for the product of the 4th term and the 2015th term, and anything times zero equals to zero, so we don't even need to solve for the 2015th term!

Therefore, the answer to this problem is 0.

5 0

3 years ago

use the formula A=LW to find the length of a rectangle when the width is 29 yards and the are is 1,044 square yards. Help please

sukhopar [10]

Answer:

L = 36 yd

Step-by-step explanation:

Given the area of a rectangle of 1044 yd², and a width of 29 yards:

Using the formula for finding the area of a rectangle, A = L × W, algebraically solve for the length (L):

A = L × W

where:

A = area of a rectangle = 1044 yd²

L = length of a rectangle

W = width of a rectangle = 29 yd

<h3></h3><h3>Solution:</h3>

Divide both sides by W to isolate L:

$\displaystyle\mathsf{\frac{A}{W}\:=\:\frac{L\:\times\:W}{W}}$

$\displaystyle\mathsf{L\:=\frac{A}{W}}$

Substitute the values for the area and the width of a rectangle:

$\displaystyle\mathsf{L\:=\frac{1044\:yd^2}{29\:yd}}$

L = 36 yd

Therefore, the length of a rectangle is 36 yards.

3 0

3 years ago