Answer:
The solutions for both system of equations are as follows:
- (5,2)
- (2,-1)
Step-by-step explanation:
The first set of equations is:

It can clearly be seen that the coefficients of y are already same in magnitude with different signs so we have to add both equations
So adding both equations, we get

Putting x=5 in equation 1

The solution is (5,2)
The second set of simultaneous equations is:

We can see that the coefficients of x in both equations are same in magnitude with opposite signs so
Adding both equations

Putting y= -1 in first equation

The solution is: (2,-1)
Hence,
The solutions for both system of equations are as follows:
- (5,2)
- (2,-1)
Answer:
$21.80
Step-by-step explanation:
50% of 38 is 19. 10% of 38 is 3.8. Add these together to get 21.8. This equates to $21.80.
Answer:
1 : 15
2: 12
3: 52
4: 27.3
Step-by-step explanation:
For #1:
if line m and n are perpendicular then they will create right angles
Right angles have a measure of 90 degrees
That being said we can find the measure of the missing angle by subtracting the measure of the known angle (75) from 90
so k = 90 - 75
90 - 75 = 15
Hence k = 15.
For #3 ( very similar to #1, only difference is the values of the angles )
so R = 90 - 38
90 - 38 = 52
Hence, R = 52
For #2 and #4
Complementary angles have a sum of 90°
So like the previous questions we can find the measure of the missing angle by subtract the measure of the given angle from 90
∠V = 90 - 78
90 - 78 = 12
Hence ∠V = 12
∠Y = 90 - 62.7
90 - 62.7 = 27.3
Hence ∠Y = 27.3
Answer:
<em>h </em>= $1.50
<em>d</em> = $1.25
Step-by-step explanation:
$1.50 + $1.50 = $3 + $1.25 = $4.25
$1.50 + $1.50 + $1.50 = $4.50 + $1.25 + $1.25 = $7