Answer:
m<X= 36.87 degrees
Step-by-step explanation:
Since the triangle abc and xyz are similar, hence;
m<C = m<Y
90 = x - 5
Add 5 to both sides
90+5 = x-5+5
95 = x
Swap
x = 95
m<Y = x - 5
m<Y = 95 - 5
m<Y = 90
Find m<X
Using the SOH CAH TOA
Opposite to m<X = YZ = 6
Adjacent = 8
Tan M<X = opp/adj
Tan m<X = 6/8
m<X = arctan(6/8)
m<X= 36.87 degrees
Answer:
y = 8
Step-by-step explanation:
11y + 4y + 60 = 180
11y + 4y = 120
15y = 120
y = 8
Answer:
25
Step-by-step explanation:
We can use the Pythagorean theorem to determine the length of the hypotenuse
a^2 + b^2 = c^2
15^2 + 20 ^2 = c^2
225 + 400 = c^2
625 = c^2
Take the square root of each side
sqrt(625) = sqrt(c^2)
25 = c
Answer:
see below
Step-by-step explanation:
y = 8x − 9
y = 4x − 1
Since both equations are equal to y, we can set them equal to each other
8x-9 = 4x-1
Subtract 4x from each side
8x-4x-9 = 4x-4x-1
4x-9 = -1
Add 9 to each side
4x-9+9 = -1+9
4x = 8
Divide each side by 4
4x/4 = 8/4
x=2
Now find y
y = 4x-1
y = 4(2)-1
y = 8-1
y = 7
(2,7)
The point of intersection when the 2 lines are graphed is (2,7)
478.25 times 4(weeks in a month) =1913
1913 times 12 (months in a year)
EQUALS AROUND 22,956 a year , that would be your annual salary.
