If you need to solve for y
10y-12=4
10y=12+4
10y=16
y=16/10=8/5=1 3/5 or 1.6
Answer:
distance across the pond: 13 yd
distance walked by Garret: 12 yd
Step-by-step explanation:
Data:
- distance across the pond: x yd
- distance walked by Sandy: 5 yd
- distance walked by Garret: x-1 yd
A right triangle is formed where the distance across the pond is the hypotenuse. From Pythagorean theorem:
x² = 5² + (x-1)²
x² = 25 + x² - 2x + 1
0 = 26 - 2x
x = 13
Answer:
The arc measure of ∠ADE is equal to 333 degrees.
Step-by-step explanation:
Please refer to the attached diagram,
Let the unknown angle ∠APE = x
Since BD is the diameter of the circle then
∠APE + ∠DPE + ∠APB = 180°
∠APE + 63° + 90° = 180°
x + 63° + 90° = 180°
Solving for x
x = 180° - 90° - 63°
x = 90° - 63°
x = 27°
Since a circle has 360° then
∠ADE + ∠APE = 360°
∠ADE + x = 360°
∠ADE + 27° = 360°
∠ADE = 360° - 27°
∠ADE = 333°
Therefore, the arc measure of ∠ADE is equal to 333 degrees.
Answer: x = 20
Step-by-step explanation:
Hey there! If you have any questions feel free to let me know in the comments below.
Step 1: <u>Subtract 36 from both sides.</u>
3x = 96 - 36
Step 2: <u>Simplify 96 - 36 to 60.</u>
3x = 60
Step 3: <u>Divide both sides by 3.</u>
x = 60/3
Step 4: <u>Simplify 60/3 to 20.</u>
x = 20