Answer:
x=3.5
Step-by-step explanation:
We can use proportions to solve this problem. Put the side of one triangle over the same side of the other triangle.
6 4.2
------ = ----------
5 x
Using cross products
6x = 5*4.2
6x =21
Divide by 6
6x/6 = 21/6
x=3.5
114 = 19y
This is true because they are vertical angles. Now, let's divide both sides by 19
6 = y
Answer:
c = 85 yd
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
c² = 77² + 36² = 5929 + 1296 = 7225 ( take square root of both sides )
c = 
= 85
Ok
2x + y - z = 7
-2y +3z = -15
x + 2y - 5z = 17
combine 2nd 3rd
x - 2z = 2
x = 2z + 2
double first statement
4x + 2y - 2z = 14
combine with second statement
4x + z = -1
substitute 2z + 2 for x
8z + 8 + z = -1
combine like terms
9z + 8 = -1
sub 8 from both sides
9z = -9
divide both sides by 9
z = -1
substitute -1 for z in second statement
-2y - 3 = -15
add 3 to both sides
-2y = -12
divide both sides by -2
y = 6
substitute -1 for z into the fifth statement
x = -2 + 2
x = 0
