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il63 [147K]
3 years ago
5

Hello!

Mathematics
1 answer:
max2010maxim [7]3 years ago
6 0
Let O be the point of intersection of diagonals.

Consider triangles FOE and EOD:
FO = OD,  ∠FOE = ∠EOD  and OE is a common side  ⇒ 
triangles FOE and EOD are congruent.

In congruent triangles all corresponding sides and are congruent  ⇒
EF = DE = 6
You might be interested in
Rewrite cot 80° in terms of its cofunction.
zysi [14]

Answer:

tan 10 degrees.

Step-by-step explanation:

tan x = cot (90 - x) so:

cot 80 = cot (90 - 10)

= tan 10.

8 0
3 years ago
Why do we use the distributive property when subtracting expressions?
pochemuha

Consider the example

(3x+5) - (x-10)

When we subtract off the (x-10), we are basically subtracting off x and also subtracting off -10. This is the same as adding on 10 because -(-10) = 10

So we would have these steps

(3x+5)-(x-10)

3x+5-x+10

2x+15

Often students forget to distribute the negative all the way through and would have 3x+5-x-10 as an incorrect step. You need to multiply that -1 through to each term, so that's why the distributive property is used.

3 0
3 years ago
Read 2 more answers
Please help! I’ll also give brainliest! Thank you!
navik [9.2K]

Answer: Union of two sets.

Explanation: "An element is in the union of two sets if it is in the first set, the second set, or both. The symbol we use for the union is  ∪ . The word that you will often see that indicates a union is "or".

Your Welcome :-)

4 0
3 years ago
A certain brand of coffee costs $2.99 for 11.3 ounces. What is the unit rate? Enter your answer, rounded to the nearest cent, in
Marysya12 [62]
To find the unit rate, you would do 2.99 / 11.3 and get about 26 cents. So the unit rate would be 26 over 1 ( 26/1 ).


Hope I helped! 

Marsh
8 0
3 years ago
Read 2 more answers
2x-y=4 and y=-2x+8.<br><br> Can anyone help me solve
Komok [63]

Answer:

The correct answer is x = 3 and y = 2.

Step-by-step explanation:

There are many ways to solve systems of equations like this, but I'm going to use substitution.  This means taking the value of y given by the second equation and plugging it into the first equation.  This is modeled below:

2x - y = 4

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

Now, we can simplify the left side of the equation.

2x + 2x - 8 = 4

4x - 8 = 4

We should add 8 to both sides as the next step.

4x = 12

Now we can divide by 4.

x = 3

To solve for y, we can substitute this value found for x back into either one of our original equations.

y = -2x + 8

y = (-2*3) + 8

y = -6 + 8

y = 2

Therefore, the correct answer is x = 3 and y = 2.

Hope this helps!

5 0
3 years ago
Read 2 more answers
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