Answer:
80
Step-by-step explanation:
Since the three angles of a triangle add to give 180°
The the size of the largest angle 4 = 180° ×
= 180° ×
∴ the size of the largest angle = 80°
Equations:
4x - 2y = 12
-4x - 9y = 54
Multiple them in both sides
4x - 2y - 4x - 9y = 12 + 54
-2y - 9y = 66
-11y = 66
y= -6
If y= -6 then put y in first or second equation.
I put it in first equation
4x - 2.(-6) = 12
4x + 12 = 12
x= 0
Therefore
(x,y) = (0, -6)
Answer:

Step-by-step explanation:
Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures
. Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).
We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:

We use just the positive root, since we are looking for an actual length. then, the requested side is:

E) distributive property
Because you are distributing the 3 to 2/5x and 7/5y
7 because a(one side)= 1/sqrt2 * hypotenuse (7*sqrt2) THis equals 7