Let be Z the money ;
We have ( 40 / 100 ) x Z = $85 ;
( 4 / 10 ) x Z = $85 ;
( 2 / 5 ) x Z = $85 ;
Z = $( 85 x 5 ) ÷ 3 ;
Z = $425 ÷ 3 ;
Z = $141,66 ≈ $142 ;
Answer:
132 degrees
Step-by-step explanation:
To solve this problem, you need to know a couple of rules
1) Inscribed angle theroem: when an angle is inscribed in a circle and touches the other end (as opposed to ending at the diameter of the circle), the measure of this angle is half of the measure of the arc.
2)Angles of a quadrilateral shape add up to 360 degrees.
3) The angles inside a circle and the angles of the circles arclength adds up to 360 degrees.
So first, solve angle S with inscribed angle theorem. 126/2 = 63
Then, use the rule that all arc angles in a circle add up to 360 degrees to find the arc angle from Q to S. 360-90-126 = 144. Now find angle P with inscribed angle theorem by doing 144/2 = 72.
Now, use the rule that all angles in a quadrilateral add up to 360 to find R. 360-93-72-63 = 132.
Let me know if this doesn't work, I'll look at it again.
Answer:
These are confusing Beth , b/c you have to remember that they will add to 100%
Step-by-step explanation:
so
green = 3* yellow
100% = green + yellow + 35% + 25%
100% = 3* yellow + yellow +60%
40% = 4* yellow
10% = yellow
30% = green
there are 14 purples in the bag , which is 35% of total
14/.35 = 40
there are a total of 40 pins
so
4 are yellow (10% of 40 or 40* 0.1)
12 are green (30% of 40 or 40*0.3)
14 are purple (35% of 40 or 40*0.35)
10 are grey (25% of 40 or 40*0.25 )
see? : |