Answer:
x = 18
y = 15
Step-by-step explanation:
Remark
Step One
The main step is to realize that if the lower left hand angle is 90 degrees, then the upper left hand angle is also 90. That is because the interior angles of parallel lines are supplementary. If one of the angle is 90 degrees, so is the other.
<em><u>Conclusion from the Remark</u></em>
5x = 90
x = 90/5
x = 18 degrees
Step Two
Find y
y is just a bit harder to find . The safest way is to add all four interior angles together. For any trap*zoid (you cannot spell this word properly. The editor has a fit), the interior angles add up to 360 degrees.
So just add the 4 angles together and equate to 360
5(y + 11) + 4y - 10 + 90 + 90 = 360 Combine like terms
5(y + 11) + 4y - 10 + 180 = 360 Combine again
5(y + 11) + 4y + 170 = 360 Subtract 170 from both sides
5(y + 11) + 4y = 360 - 170 Combine like terms
5(y + 11) + 4y = 190 Remove the brackets
5y + 55 + y4 = 190 Combine like terms
9y + 55 = 190 Subtract 55 from both sides.
9y = 190 - 55
9y = 135 Divide by 9
y = 135 / 9
y = 15
Answer:
The area of the sector is 17/2 π
Step-by-step explanation:
pi = π
To solve this problem we first have to find the fraction that corresponds to this angle of the total, for this we must divide the angle that they give us by 2π radians, since that is the angle of a circle
(17π/9 rad) / (2π rad) = 17/18
Now we multiply the area of the circle by this fraction and we will obtain the area of the sector that we want
9π * 17/18 = 17/2 π
The area of the sector is 17/2 π
Answer:
Step-by-step explanation:
what do you mean ?
Answer:
angle of 90 degrees
Step-by-step explanation:
if the length satisfy the pythagorean theorem (a2+b2=c2) then it is a right traingle
Answer:
The equation of the line is -4x + y = 3
Step-by-step explanation:
Since we have the slope, we can use it and either point in point-slope form and solve for the standard form of the equation.
y - y1 = m(x - x1)
y - -1 = 4(x - -1)
y + 1 = 4(x + 1)
y + 1 = 4x + 4
-4x + y + 1 = 4
-4x + y = 3
