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2 years ago

Can someone please help me with 44. And 45?

Mathematics

2 answers:

Angelina_Jolie [31]2 years ago

6 0

Problem 44

The term "bisect" means "cut in half".

Since BD bisects angle ABC, this means the smaller angles ABD and DBC are congruent.

angle ABD = angle DBC

x+15 = 4x-45

15+45 = 4x-x

60 = 3x

3x = 60

x = 60/3

x = 20

<h3>Answer: x = 20</h3>

========================================================

Problem 45

We use the same idea as the previous problem

angle ABD = angle DBC

2x+35 = 5x-22

35+22 = 5x-2x

57 = 3x

3x = 57

x = 57/3

x = 19

<h3>Answer: x = 19</h3>

OLga [1]2 years ago

6 0

Answer:

44. x = 20

45. x = 19

Step-by-step explanation:

44:

x + 15 = 4x - 45

Subtract x from both sides.

15 = 3x - 45

Add 45 to both sides.

60 = 3x

Divide both sides by 3.

x = 20

45:

2x + 35 = 5x - 22

Subtract 2x from both sides.

35 = 3x - 22

Add 22 to both sides.

57 = 3x

Divide both sides by 3.

x = 19

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mrs_skeptik [129]

Let's do

$\\ \rm\dashrightarrow y=\dfrac{3}{x-h}+k$

Release k for some while

we take h=0

y=3/x

So vertical asymptote is at origin now

It mentioned that it's at x=-5 so we need to change x

put -5 in place of h

$\\ \rm\dashrightarrow y=\dfrac{3}{x-(-5)}$

$\\ \rm\dashrightarrow y=\dfrac{3}{x+5}$

Vertical asymptote at x=-5

Now

for k=0 horizontal asymptote at origin

But it's given

y is at 12

Same put y=12 in place of k

$\\ \rm\dashrightarrow y=\dfrac{3}{x+5}+12$

h=-5
k=12

Graph attached for verification

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2 years ago

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AlekseyPX

Answer:

D. 220.16 Square feet

Step-by-step explanation: The shaded area is the space in the square not filled by the circle. So we need to find the area of the circle. The formula for area of a circle is $A=\pi r^{2}$ . So we fill in this equation with the information we already know:

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