One of two supplementary angles is five times the other. find the angles. (recall that supplementary angles are angles whose sum
2 answers:
Answer:
Step-by-step explanation:
Given : One of two supplementary angles is five times the other.
Let x be one of the angles ( in degrees) such that the other angles will be 5x.
We know that the supplementary angles are added up to 180 degrees.
Therefore, we have
Hence, the equation can be used to solve for the smallest angle=
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Answer:
The circumference of the circle = 26π unit.
Step-by-step explanation:
Given:
Radius of the circle, r = "x+6"
Diameter of the circle, d = "3(x)+5"
We have to find the circumference of the circle in terms of pi.
Formula to be used:
Circumference of a circle = 2πr or πd
As we know that:
Radius = Half of diameter
So,
⇒
⇒
⇒
⇒
⇒ ...<em>Arranging variables and constants. </em>
⇒
Plugging x = 7 we will find the radius and the diameter.
⇒ Radius = "x+6" = "7+6" = 13
⇒ Diameter = "3(x)+5" = 3(7)+5 =26
Lets find the circumference of the circle.
⇒ Circumference = Or
⇒ Circumference =
The circumference of the circle = 26π unit.