Answer:
14. 89
Step-by-step explanation:
since both triangles are similar just different sizes, it can be concluded that angle r is the same as angle z
Answer: 49.5
Step-by-step explanation:
If it's refilled with 8 litres of mango juice, the resulting mixture will be 8 parts mango and 48 parts pine, or 1 part mango, 6 parts pine. (AKA, roughly 16.67% mango juice).
Now, if they take out 8 litres from that mixture, that 8 litres will also be 1 part mango and 6 parts pine, leaving you with 48 litres of 1 part mango, 6 parts pine.
Hang on, because it gets tricky from here. We're going to use a formula here:
<---- where there are q[1] litres of p[1] % that we start with, and we add q[2] litres of p[2] % mix, and so we'll end up with a mixture that is (q[1] + q[2]) liters big that will have a different percent mixture p[3] from what we started.
We started with 48 liters that is 16.67% mango. So <---- change the percent to a decimal.
We're going to add 8 liters of pure mango juice, so <--- The 100% mango juice is the 1 in decimal.
As total mix, we'll have litres which is 48 + 8 = 56, BUT the percentage mango of the new mixture will surely be different.
So our equation so far is: . All we have to do is solve for .
<---- simplified
<--- roughly 28.57% mango juice or mango juice. Since mango is 2/7 of the mixture, the other 5/7 is pine. The problem asked for the ratio between mango to pine, and that would be the 2:5.
Answer:
Its the middle choice
Step-by-step explanation:
Answer:
D. GH = FH because FG is perpendicular to the radius of a circle A.
Step-by-step explanation:
A circle has different parts which include but no limited to; diameter, chord, radius, segment, sector, circumference etc. This, it can be observed that FG is a chord on circle A, and a chord is always perpendicular to the radius of the circle that bisects it. This implies that FG has been bisected into two equal haves of FH and GH by the radius AH.
Therefore, since FG is at a right angle to AH, then it is true that GH = FH. So that the appropriate answer to the given question is option D.
