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quester [9]
3 years ago
15

PLEASE HELP!

Mathematics
1 answer:
drek231 [11]3 years ago
7 0

Answer:

CD=14

DE=21

Step-by-step explanation:

ΔCDE is similar to ΔFNE (∠E≅∠E, ∠NFE≅∠DCE) by AA similarity

Using Thales' Intercept Theorem Corollary, you know that:

EN/ED=EF/EC=NF/CD=12/20

Let DN be 8x and NE be 12x

Let NF be 12y and CD be 20y

Then you have a system of equations:

20x+20y+20=55

8x=12y

By solving them, you get y=0.7 and x=1.05⇒

DE=21 and CD=14

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Find the equation of the circle with center (4,5) which passes through the y-intercept of the line 5x-2y+6=0​
Elena-2011 [213]

Answer:

(x-4)^2 + (y-5)^2 = 20

Step-by-step explanation:

Rearrange the line equation of 5x - 2y + 6 = 0

So y = 5/2x +3

The y-intercept of the line equation is 3 as when x=0, y=3.

We know the Circle has the formula (x-4)^2 + (y-5)^2 = ?^2 from the question but with the intercept, we can find the entire equation as the y-intercept is (0,3) so we can substitute it into the equation to find the full equations so:

(0-4)^2 + (3-5)^2 = ?^2

This simplifies to:

(-4)^2 +(-2)^2 = ?^2

16 + 4 = 20 = ?^2

The answer is 20 so the equation of the circle is (x-4)^2 + (y-5)^2 = 20

3 0
2 years ago
HELPPPP FIND THE AREA
GuDViN [60]

you can just split the figure in 2 separate figures and them add the areas:

area rec. 1:

3m×3m= 9m²

area rec. 2:

3m× (2m+3m)

= 3m×5m

=15m²

total area:

9m²+15m²= 24m²

5 0
2 years ago
Read 2 more answers
Select the correct answer.
Pie

Answer:

a.

Step-by-step explanation:

a= y-k/ (x-h)^2

<h2>Make me a brain list</h2>
6 0
2 years ago
Please help with this
a_sh-v [17]
I thinks is A or B if not I’m sorry
5 0
3 years ago
Read 2 more answers
PLEASE help me ; - ; (USAtest prep)
nadezda [96]
What do u want help with and take it easy btw
4 0
3 years ago
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