Answer:
13
Step-by-step explanation:
We know that a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 + 12^2 = c^2
25+144 = c^2
169 = c^2
Taking the square root of each side
sqrt(169) = sqrt(c^2)
13 =c
Answer:
1. AC = 5 cm
2. CD = 10.7 cm
Step-by-step explanation:
Looking at the left triangle, we see that AC is the side "opposite" of the angle given and AB is the "hypotenuse".
Which trigonometric ratio relates "opposite" to "hypotenuse"?
<em>Yes, that's SINE.</em>
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So we can write:

We know from 30-60-90 triangle, Sin(30) = 0.5, so we have:

Thus,
AC = 5 cm
Now, looking at right side triangle, we know AC, side "opposite" and we want to find CD, side "adjacent". Which trig ratio relates these 2 sides?
<em>Yes, that's tan!</em>
Thus we can write:

Now using calculator, we get our answer to be:
CD = 
So
CD = 10.7 cm
we know that
If lines m and n are parallel
then
m<1 and m<5 are corresponding angles
so
m<5=m<1
therefore
m<5=135 degrees
Answer:
A.
Explanation:
4 goes up 2 to 6. 6 goes up 3 to 9. 9 goes up 4 to 13. Therefore, you can expect 13 to go up 5 to 18, and 18 to go up by 6 to 24.
--8+4+6=2
Hope it helps :-)