You will need to know that the sum of "two complementary angles" is 90
therefore
Let x = one angle
then
90-x = second angle
.
Now, we construct our equation based on the sentence:
"The sum of the measures of two complementary angles exceeds the difference of their measures by 86°."
x + 90-x = x-(90-x)+86
90 = x-90+x+86
90 = 2x-90+86
90 = 2x-4
94 = 2x
47 degrees = x (first angle)
.
Second angle:
90-x = 90-47 = 43 degrees (second angle) hope it helps
You are given either the x value or the y value.
Replace the x or y in the equation and solve for the missing values.
-4x + 5y = 3
First you are given x = 0:
So you have -4(0) + 5y = 3
Simplify:
0 + 5y = 3
Divide both sides by 5:
y = 3/5
Next you have x = 1:
-4(1) + 5y = 3
Simplify:
-4 + 5y = 3
Add 4 to both sides:
5y = 7
Divide both sides by 5:
y = 7/5
Third you are given y = 3
-4x + 5(3) = 3
Simplify:
-4x +15 = 3
Subtract 15 from both sides:
-4x = -12
Divide both sides by -4:
x = 3
This is a Reflection :) Have a great day !
Answer:
Step-by-step explanation:
The even numbers less than 10 are
2 which can only be done 1 way: when you roll snake eyes.
4 can be done 3 ways (2,2) (3,1) and (1, 3)
6 can be done 5 ways (2,4) (4,2) (5,1) (1,5) and (3,3)
8 can be done 5 ways (4,4) (2,6)(6,2)(5,3) and (3, 5)
There are 36 ways of throwing the number cubes.
We have a total of 5 + 5 + 3 + 1 = 14 ways
The answer you want is
14/36 = 7 / 18 = 0.389