The easiest variable you can solve for first is "z". Knowing that opposite angles of a quadrilateral inscribed in a circle are supplementary, subtract 93 from 180 to get z.
Z should equal 87.
The next variable we can solve for is "x". We know that inscribed angles are half the measure of their intercepting arc, so we know 93 is half of (112 + x). The equation would look like this:
93= (112 + x)/2
Multiply both sides by 2
186 = 112 + x
Subtract 112 from both sides
74 = x
Now we can apply the same method we used to find "x" to find y. Set up an equation like this:
80 = (y + x)/2
Substitute the value of x in
80 = (y + 74)/2
Multiply both sides by 2
160 = y + 74
Subtract 74 from both sides
86 = y
Hope this helps!
Answer:
michelle, kaley, and Rebecca.
Step-by-step explanation:
They have sold 100 tickets so far ($75), they need to sell 380 ($285) tickets in total and need to sell 280 more tickets.
Michelle was wrong because she should have divided 210 (how much more money they need to sell on tickets) into .75 (which is how much each ticket costs).
Kaley was wrong because she should have also divided 210 into .75 like Michelle.
Rebecca should have also divided 210 into .75.
Eva was the only correct one.
Answer:
3: 
4: 
Step-by-step explanation:
Question 3 can be re-written as:
which equals:
Question 4 can be re-written as:
Doing the first 2 brackets gives us:
Expanding these two:
Simplifying it:
<span>Calculate how many pieces of fruit go into each bag. Add this to the number of students going on the trip.</span>
Answer:
31 + 4y
Step-by-step explanation:
4(6+y)+7
Expand the brackets.
24+4y+7
Rearrange.
4y + 24 + 7
Add the like terms.
4y + 31
