Answer: 77°
Step-by-step explanation:
First we are going to find x and then insert it in 18x +5 to be able to get our <WZX
But to find x, we will have to apply the the exterior angle theorem
The exterior angle theorem state that : the exterior angle is equal to the sum of the two opposite interior anges
Using this theorem, then from the diagram above ;
18x + 5 = 48 + 8x - 3
we collect like term
18x - 8x = 48-3-5
10x = 40
Divide bothside by 10
10x/10 = 40/10
x = 4
but <WZX = 18x + 5
Then we substitute x=4
<WZX = 18(4) + 5
<WZX = 72 +5
<WZX =77
Therefore the measure of <WZX is 77°
1. 3x - 2y = 8 Subtract 3x on both sides
-2y = 8 - 3x Divide by -2 on both sides to get y by itself
y = -4 + 3/2x
2. a + b / 3 = 5 Multiply 3 on both sides
a + b = 15 Subtract a on both sides to get b by itself
b = 15 - a
3. 12x - 4y = 20 Subtract -12x on both sides
-4y = 20 - 12x Divide -4 on both sides to get y by itself
y = -5 + 3x
4. y + 3 = -5(x - 2) Multiply -5 to (x-2)
y + 3 = -5x + 10 Subtract 3 on both sides to get y by itself
y = -5x + 7
Answer:
204
Step-by-step explanation:
Following the order of operations, what is within the parenthesis is solved first.
<em>65 x 3 = 195</em>
Then, you add 9 to 195.
<em>195 + 9 = 204</em>
<em>204</em> is the final answer.
Have a nice day! ^-^
Given:
- the perimeter of a rectangular field is 84 yards
- the ratio of the length to the width is 2:1
To find:
- the length
- the width
- the area
Answer:
Let's assume that the length is 2x and the width is 1x.
We know that the formula to find the perimeter of a rectangle is as follows:
Perimeter = 2 × (Length + Width)
Substituting the values that we have, into the formula above,
84 = 2 × (2x + 1x)
84 = 2 × 3x
84/2 = 3x
42 = 3x
x = 42/3
x = 14
Since we know the value of 'x', let's use it to find the length and the width.
Length = 2x = 2 × 14 = 28
Width = 1x = 1 × 14 = 14
Since we now know the length and the width, let's find the area of the rectangle.
The formula to find the area of a rectangle:
Area = Length × Width
Substituting the values we have into the formula,
Area = 28 × 14
Area = 392
Therefore, the area of the rectangle is 392 square yards.
Hope it helps. :)
Y=1+3x/4 would be the answer to solve for y
