63 seconds is 90% of Niki's time for one lap. So, Niki's time for one lap is 63/0.9, which equals 70 seconds or 1 min. 10 seconds.
Answer:
C /2pi = r
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi*r
We want to solve for r
Divide each side by 2 pi
C / 2pi = 2*pi*r / 2pi
C /2pi = r
Answer:
85°
Step-by-step explanation:
The triangle pictured is an isosceles triangle because side KJ = LJ.
this means that ∠JKL = ∠JLK = x°
Also recall that all interior angles of a triangle add up to 180°
Hence,
180° = ∠JKL + ∠JLK + ∠KJL
180 = x + x + 10
180 = 2x + 10 (subtract 10 from both sides and rearrange)
2x = 180 - 10
2x = 170 (divide both sides by 2)
x = 170 / 2 = 85°
The two interior angles of the triangle is 75 and 105 degree.
<h3>What is the exterior angle theorem ?</h3>
According to the exterior angle theorem , The size of an exterior angle of a triangle is the sum of of smaller of two opposite interior angles.
It is given that
Let the measure of the two interior angle be x and y
then
The size of an exterior angle of a triangle is the supplement of smaller of two opposite interior angles
x+ y = 180
the greater of the opposite interior angles exceeds the smaller by 30 degrees , find the measure of the interior angles of the triangle.
x = y+30
By substitution method
y+30+y = 180
2y +30 = 180
2y = 150
y = 75 degree and x = 105 degree.
Therefore the two interior angles of the triangle is 75 and 105 degree.
To know more about exterior angle theorem
brainly.com/question/956912
#SPJ1
Answer and Step-by-step explanation:
-3(x + 5) > 12
Divide both sides by -3, then flip the sign.
x + 5 <em><</em> -4
Now subtract 5 from both sides.
x < -9
<u>x < -9 is the answer.</u>
<u></u>
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