Solve the following system of equations: y=x + 2 and y= 2x - 1
2 answers:
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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:
The quantity of cement use is 125 pounds
The quantity of sand use is 375 pounds
The quantity of gravel use is 500 pounds
Step-by-step explanation:
Given as :
The ratio of cement to sand to gravel = 1 : 3 : 4
The total quantity of dry mix required = 1000 pounds
Let The quantity of cement required = 1 × x pounds
The quantity of sand required = 3 × x pounds
The quantity of gravel required = 4 × x pounds
So, According to question
The total quantity of dry mix required = The quantity of cement required + The quantity of sand required + The quantity of gravel required
Or, x + 3 x + 4 x = 1000 pounds
Or, 8 x = 1000 pounds
∴ x =
I.e x = 125
So , The quantity of cement required = 1 × 125 pounds = 125 pounds
The quantity of sand required = 3 × 125 pounds = 375 pounds
The quantity of gravel required = 4 × 125 pounds = 500 pounds
Hence The quantity of cement use is 125 pounds
The quantity of sand use is 375 pounds
The quantity of gravel use is 500 pounds
Answer
A the slope of the line is 1
to calculate the slope m , use the ' gradient formula '
m = ( y₂ - y₁ ) /( x₂ - x₁ )
where (x₁, y₁ ) = 6, 3) and (x₂, y₂ ) = (9, 6)
m = =
= 1