Answer:
x = 22
Step-by-step explanation:
The figure is attached below.
Its given that SV is parallel to RU. We have to find the value of x.
Observe that, if we join point V to U, we will obtain a parallelogram RSVU. One of the properties of a parallelogram is that the sum of its two adjacent angles is always 180 degrees.
So, the two adjacent angles would be: ∠S and ∠R
From the figure:
∠S = 5x + 4
∠R = 44 + x
Since,
∠S + ∠R must be 180 degrees, we can write:
∠S + ∠R = 180
5x + 4 + 44 + x = 180
6x + 48 = 180
6x = 132
x = 22
Therefore, the value of x is 22.
Answer: c) -4
Step-by-step explanation:
Get the variables on one side of 3x+y=-2x+8 and the constants on another side:
3x+y=-2x+8
(3x+y)+2x=(-2x+8)+2x
5x+y=8
Now, multiply 5x+y=8 by -2:
-2(5x+y=8)
-10x-2y=-16
Add this equation to -3x+2y=-10:
(-10x-2y=-16)+(-3x+2y=-10)
-13x=-26
x=2
Plug x=2 into -3x+2y=-10:
-3(2)+2y=-10
-6+2y=-10
2y=-4
y=-2
Therefore, (2, -2) is the solution to the system of equations, so xy=(2)(-2)=-4
Answer:
x = 35 and y = 100
Step-by-step explanation:
Let x = dollar cost per dive and y = dollar cost per night.
ATQ,
4x+3y = 440 .....(1)
and
8x + 5y = 780 .....(2)
Multiply equation (1) by 2.
8x+6y = 880......(3)
Subtract equation (3) from (2).
8x + 5y -(8x+6y)= 780-880
-y = -100
y = 100
Put the value of y in equation (1).
4x+3(100) = 440
4x = 440-300
4x = 140
x = 35
Hence, the value of x is 35 and that of y is 100.
There are several information's already given in the question. Based on those information's, the answer can be easily deduced.
Cost of the jacket = $124.99
Percentage of discount given at the beginning = 10%
Amount of initial discount given = (10/100) * 124.99
= 12.499 dollars
= 12.50 dollars
Then
Price of the jacket after the initial discount = 124.99 - 12.50
= 112.49 dollars
Percentage of additional discount = 20%
Amount of additional discount = (20/100) * 112.49
= 22.50 dollars
Total amount saved on buying the jacket = 12.50 + 22.50
= 35 dollars
I hope that this is the answer that you were looking for and the answer has actually come to your desired help.
70+50+x=180
120+x=180
180-120=60
X=60
Y=50 I’m not sure about y
