Identify m∠BHJ.

The figure shows a circle with two tangents B H and J H. The secants intersect at point H in the exterior of the circle. The measure of arc B J is 105 degrees.

Answers:
m=52.5
m=127.5
m=70
m=75

m∠BHJ = 75°

Step-by-step explanation:

It is given that mBJ=105∘

Find mBMJ

mBMJ=360∘−105∘=255∘

If two tangents intersect in the exterior of a circle, then the measure of the angle formed is half the difference of the measures of its intercepted arcs. So,

m∠BHJ=12(mBMJ−mBJ)

Substitute the given values and simplify.

m∠BHJ=12(255∘−105∘)

=12(150∘)

=75∘

Therefore, m∠BHJ=75∘

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!