Answer:
13
Step-by-step explanation:
We need to use the Pythagorean Theorem to solve this problem:
, where a and b are the legs of the right triangle and c is the hypotenuse
In this case, we already know b (b = 84) and c (c = 85), so we need to solve for a:
Thus, a = y = 13.
Answer:
Yes, this triangle is a right triangle.
Step-by-step explanation:
Side AB lies on the x-axis and is thus horizontal. Side AC lies on the y-axis and is thus vertical. Sides AB and AC are therefore perpendicular to each other. This alone is enough info for us to conclude that this is a right triangle.
Side BC could be thought of as the hypotenuse.
Answer:
m∠1 + m∠2 = 180°
Step-by-step explanation:
An interior angle and its exterior angle are supplementary (they add up to 180°).
I would really appreciate it if you would mark me brainliest!
<em>Have a blessed day!</em>
Answer:
The second one:
L∪J={i,j,k,l,m,n,o}
Step-by-step explanation:
The union is the elements listed in either set.
So since l,m,n, and o are elements of set L, they will also be elements of whatever it is "unioned" with.
Since i,j,k,l and m are elements of set J, they will also be elements of whatever it is "unioned" with.
When you write the union, just be sure to include each element that occurs in either set once.
So the union of L and J is {i,j,k,l,m,n,o}.
The answer is the second one.
The intersection would actually be that upside down U thing, the ∩ symbol. The intersection of two sets is a list of elements that both sets include. So here the intersection would just consist of the elements l amd m.
1. 3x - 2y = 0 => y = 3/2x
4x + 2y = 14<=> 4x + 2*(3/2x) = 14<=> 7x = 14<=> x = 2 & y = 3
2.3p + q = 7=> q = 7 - 3p
2p - 2q = -6<=> 2p - 2*(7-3p) = -6<=> 2p - 14 + 6p = -6<=> 8p = -6 + 14 = 8<=> p = 1 & q = 4
3.3x - 2y = 1=> x = (1+2y)/3
8x + 3y = 2<=> 8*(1+2y)/3 + 3y = 2<=> 8*(1+2y)/3 - 2 = -3y<=> 3*(8*(1+2y)/3 - 2) = -3*(3y)<=> 8*(1+2y) - 6 = -9y<=> 8 + 16y - 6 = -9y<=> 2 = -25y<=> y = -2/25 & x = 7/25
