We have been given an image of a circle. We are asked to find the measure of angle JKL.
We can see that angle JML is a central angle of our given circle, so measure of angle JML will be equal to measure of arc JL. So measure of angle JML will be 60 degrees.
We know that tangent of a circle is perpendicular to radius.
We can see that tangent KJ is tangent to circle at point J and tangent KL is tangent to circle at point L. This means that measure of angle KJM and angle KLM will be 90 degrees each.
We can see that JKLM is a quadrilateral. We know that all angles of a quadrilateral add up-to 360 degrees, so we can set an equation as:
Therefore, measure of angle JKL is 120 degrees and option B is the correct choice.
We say that there are
girls. We equate the two expressions for the amount of sweets in the packet to get:
Subtracting 5x from both sides and adding 4 to both sides, we see that:
Since there are 7 girls, we have 7*6-4=38 sweets, using the first expression of the amount of sweets. To check our answer, we examine the second expression for the amount of sweets, for a result of 7*5+3=38 sweets. Since both of these amounts are equal, our answer seems to be correct. Thus, there are 38 sweets in a packet.
D. is parallel
bisectors are perpendicular, not parallel
hope this helps!