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Semmy [17]
3 years ago
14

In the diagram, how can you justify that FB = FD?

Mathematics
2 answers:
satela [25.4K]3 years ago
8 0
I believe the answer is C. Let me know if I helped.
Mkey [24]3 years ago
5 0

Answer:

the answer is: converse of the angle bisector theorem

Step-by-step explanation:

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E) Natasha's parents want to support Natasha by saving $5000 for her college. They searched up for some investment options and c
Bas_tet [7]

Answer:

Amount she would have in 2 years at a simple interest of is

$5000 + ($5000 x 0.048 x 2) = $5480

Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :

$5000 x ( 1 +0.041/2)^4 = $5422.78

the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose

Step-by-step explanation:

Future value with simple interest = principal + interest

Interest = principal x interest rate x time

0.048 x 5000 x 2 = 480

future value = $480 + 5000 = $5480

The formula for calculating future value with compounding:

FV = P (1 + r)^nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years

5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78

8 0
2 years ago
Find the area of the circle. Diameter = 12 mi<br><br> answer choice:<br> 36π mi<br> 144π mi
elena-s [515]

Answer:

36π mi

Step-by-step explanation:

Area of a circle = πr²

Diameter = 12 mi. Therefore, radius=12/2 = 6 mi

πr²

π x (6)²

π x 36

Hence, the answer is 36π mi

3 0
2 years ago
Read 2 more answers
Please help me i don't know what to do <br> please show your work
Diano4ka-milaya [45]
<h3>Distributive Property</h3>

The distributive property lets you group or ungroup terms using parentheses. It lets you multiply an external factor by every term in parentheses, expressing the result as a sum:

... a(b + c) = ab + ac . . . . . . factor <em>a</em> multiplies the terms <em>b</em> and <em>c</em>

and it lets you remove a common factor from different terms, putting that factor outside parentheses:

... ab + ac = a(b + c)

The letters <em>a</em>, <em>b</em>, <em>c</em> here can stand for any number or expression.

<h3>Homework</h3>

20. To do this problem, you need to eliminate the parentheses using the distributive property. Then, "collect terms," which is another application of the distributive property. The external factor outside the parentheses is (-2/3). Multiply that by each term in parentheses, and add the results.

After that, recognize that c is a factor of two of the terms. Add their coefficients to simplify that sum to one term.

-\dfrac{2}{3}(12c-9)+14c=\left(-\dfrac{2}{3}\right)(12c)+\left(-\dfrac{2}{3}\right)(-9)+14c=-8c+6+14c\\\\=c(-8+14)+6\\\\=6c+6

22. You are to evaluate the expression with x=2 two ways: as is, and after you simplify it by combining like terms.

<u>As is:</u>

-8x+5-2x-4+5x\\=-8(2)+5-2(2)-4+5(2)\\=-16+5-4-4+10\\=-9

<u>Simplified:</u>

-8x+5-2x-4+5x\\=x(-8-2+5)+(5-4)=-5x+1\\=-5(2)+1=-10+1\\=-9

I prefer simplifying the expression first. The number of calculations and chances for error are reduced.

23. It is convenient to check for equivalence after simplifying both expressions.

<u>First Expression:</u>

8x^2+3\left(x^2+y\right)=8x^2+3x^2+3y=11x^2+3y

<u>Second Expression:</u>

7x^2+7y +4x^2-4y=(7+4)x^2+(7-4)y=11x^2+3y

The simplified forms of the expressions are identical, so we conclude the expressions are equivalent.

25. The area of a rectangle is the product of its length and width. Here, you are asked to simplify the product of (3+x) ft and 3 ft.

((3+x)\,\text{ft})(3\,\text{ft})=(3\,\text{ft})\cdot (3\,\text{ft})+(x\,\text{ft})\cdot (3\,\text{ft})=9\,\text{ft}^2+3x\,\text{ft}^2\\\\=(3x+9)\,\text{ft}^2

In the last form of this expression, we have used "standard form" which has the degree of the variable decreasing in terms left to right. The units are factored out to make the expression a bit less cumbersome.

3 0
3 years ago
Read 2 more answers
I need helps<br> can you simply this please :)
Gwar [14]

Answer:

64-18+2

Hope this helps...

6 0
2 years ago
Can someone help me please. I have to show my work.
madreJ [45]

Answer:

Step-by-step explanation:

1. P = (width + lengh) * 2 = (23 + 10) * 2 = 33 * 2 = 66

  A = width * lengh = 23 * 10 = 230

2. width = 7

 P = (width + lengh) * 2 = ( 7 + 9) * 2 = 16 * 2 = 32

8 0
2 years ago
Read 2 more answers
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