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Kryger [21]
3 years ago
12

Can someone help me on this

Mathematics
1 answer:
mr_godi [17]3 years ago
3 0
I don't know what the first two blanks are asking for, but the last one should be Alternate Exterior Angles Property of Congruence (AEAPC).
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Find x<br> A. 22√2<br> B. 22<br> C. 11√3/3<br> D. 11√3
mel-nik [20]

Answer

22\sqrt{2}

Step-by-step explanation:

First we gave a name to the side that is common for both triangles, can be Y for example.

Using trigonometric functions we can make a relationship between the two angles that we have and the magnitud of the side.

sin(45)=\frac{11}{Y}  \\ , Because sin(x)= op/hip

cos(60)=\frac{Y}{x} , Because con(x)=ad/hip

Having this equations, we can solve the system and find x

Y=\frac{11}{sin(45)} \\Y=cos(60)*x

we equal Y and solve

\frac{11}{sin(45)}=cos(60)*x\\ x=\frac{11}{sin(45)*cos(60)} \\x=\frac{11}{\frac{\sqrt{2} }{2} *\frac{1}{2} } \\x=\frac{11}{\frac{\sqrt{2} }{4} } \\x=\frac{44}{\sqrt{2} }\\

Then we rationalize

x=22\sqrt{2}

Hope you like it!

7 0
3 years ago
Read 2 more answers
24 is 31.25% of what number? Prove your answer in the show your workbox.
FinnZ [79.3K]

Answer:

76.8

Step-by-step explanation:

1. We assume, that the number 31.25 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 31.25, so we can write it down as 100%=31.25.

4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.

5. Now we have two simple equations:

1) 100%=31.25

2) x%=24

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=31.25/24

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24 is what percent of 31.25

100%/x%=31.25/24

(100/x)*x=(31.25/24)*x       - we multiply both sides of the equation by x

100=1.3020833333333*x       - we divide both sides of the equation by (1.3020833333333) to get x

100/1.3020833333333=x

76.8=x

x=76.8

now we have:

24 is 76.8% of 31.25

6 0
3 years ago
Read 2 more answers
No explaning just the answer
katovenus [111]

Answer:

Infinite Solutions

Step-by-step explanation:

No math required since it is Infinite Solutions. :-)

6 0
2 years ago
Read 2 more answers
can anyone help me is math please I can describe a real-world situation in which opposite quantities combine to make zero. I can
asambeis [7]
When you put money in the bank and then go to the store and write a check for that exact amount.
5 0
3 years ago
Hal ran 1 2/5 miles on Monday and 3/4 of a mile on Tuesday. How far did he run in total for the two days?
spin [16.1K]

Answer:

2.12 miles

Step-by-step explanation:

5 0
2 years ago
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