Answer:
x=3
z=65
Step-by-step explanation:
6x+97 and 14x+73 are vertical angles which means they are equal
6x+97= 14x+73
Subtract 6x from each side
6x-6x+97= 14x-6x+73
97 = 8x +73
Subtract 73 from each side
97-73 = 8x+73-73
24 = 8x
Divide each side by 8
24/8 = 8x/8
3 = x
Now we need to find z
6x+97 and z are supplementary angles which means they add to 180
6x+97 +z = 180
6(3) +97 +z = 180
18+97+z=180
Combine like terms
115+z = 180
Subtract 115 from each side
115-115 +z=180-115
z = 65
Answer and Explanation:
Five one-step equations with the answer of 0:
1. x - 8 = -8
2. x - 4 = -4
3. x / 2 = 0
4. x - 3 = -3
5. 5 * x = 0
Five one-step equations with the answer of -5:
1. y + 2 = -3
2. y - 3 = -8
3. y + 10 = 5
4. y * (-2) = 10
5. y / 1 = -5
Five one-step equations with the answer of 4:
1. 4 * z = 16
2. 8 - z = 4
3. 7 + z = 11
4. z / 2 = 2
5. z + 11 = 7
Hope these help!
Answer:
The height of the parallelogram is 2.11 cm.
Step-by-step explanation:
Area of the parallelogram is equal to multiplication of base and height.
Given:
Parallelogram has base of 4.5 cm.
Are of the parallelogram is 9.495 cm².
Equation is 4.5x=9.495
Calculation:
(a)
Are of the parallelogram is the product of base length and height of the parallelogram.
Area of the parallelogram is expressed as follow:
A=lh
Substitute 9.495 cm² for A and 4.5 cm for l in above equation as follows:
9.495=4.5h …… (1)
Now relate the equation (1) and given equation. So, here x is nothing but the height of the parallelogram.
(b)
From equation (1), height of the parallelogram is calculated as follows:
9.495=4.5h

h=2.11 cm
Thus, the height of the parallelogram is 2.11 cm.
Answer:
x axis: -1, 0, -3
Step-by-step explanation: