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bogdanovich [222]
2 years ago
5

Find the area of the figure.

Mathematics
1 answer:
svetlana [45]2 years ago
5 0

Answer:

203 YD

Step-by-step explanation:

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In a family, each brother has as many sisters as brothers, but each sister has twice as many brothers as she has sisters. How ma
daser333 [38]

Answer:

4 brothers and 3 sisters

Step-by-step explanation:

Let x be the number of brothers and y be the number of sisters in the family.

1.  Each brother has x-1 brothers and y sisters. If each brother has as many sisters as brothers, then

x-1=y.

2. Each sister has y-1 sisters and x brothers. If each sister has twice as many brothers as she has sisters, then

2(y-1)=x.

3. Solve the system of two equations:

\left\{\begin{array}{l}x-1=y\\ \\2(y-1)=x\end{array}\right.\Rightarrow 2(y-1)-1=y,\\ \\2y-2-1=y,\\ \\2y-y=2+1,\\ \\y=3.

Then

x=y+1=3+1=4.

4 0
3 years ago
Nine scores have an average of 8. Scores x and x+1 are added, and these increase the average to 9. Find x
Degger [83]

Answer:

x must be 13

Step-by-step explanation:

Represent the nine scores by a, b, c, d, e, f, g, h, i.

Write the following equation to indicate that the average of these nine scores is 8:

a+b+c+d+e+f+g+h+i

----------------------------- = 8, or <em>a+b+c+d+e+f+g+h+i = 72</em> if we multiply both

               9                      sides of this equation by 9.

Next, we add scores x and x+ 1 to

a+b+c+d+e+f+g+h+i  +  x + x + 1

and divide the result by 11, as there are now 11 scores instead of just 9:

a+b+c+d+e+f+g+h+i  +  x + x + 1

----------------------------------------------

                        11

Earlier, we saw that a+b+c+d+e+f+g+h+i = 72.  We can now replace

a+b+c+d+e+f+g+h+i in the above fraction by 72:

 72 + 2x + 1

------------------- = 9 (as the new average is 9)

         11

Multiplying both sides of this equation by 11 results in:

73 + 2x = 99, or  2x = 26.

Then x must be 13, and x + 1 must be 14.

3 0
3 years ago
Need help ASAP pls. :)​
Troyanec [42]

Answer:

B

Step-by-step explanation:

because we just multiply the bottom equation by - and we eliminate 7y. now we have -2x=-10 to get x we divide -10 by -2 and get the answer

7 0
3 years ago
Please answer asap!!!!!!!!!!!!!!!!!!!!!!!!!
Vilka [71]

Answer:

x=60

Step-by-step explanation:

right angle is 90 degrees +30 degrees equals 120 so 180-120 gives you 60 degrees

4 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Csqrt%7B91%20-%2040%5Csqrt%7B3%7D%20%7D" id="TexFormula1" title="\sqrt{91 - 40\sqrt{3} }" al
lianna [129]

Answer:

5\sqrt{3} - 4

Step-by-step explanation:

\sqrt{(4-5\sqrt{3}  )^{2} }

5\sqrt{3}  - 4

3 0
3 years ago
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