D?? mark crown if correct
Let b be the number of blue beads and g the number of green beads that Giovanni can use for a belt.
He's supposed to use a total of between 70 and 74 beads, so
70 ≤ b + g ≤ 74
The ratio of green beads to blue beads is g/b, and this ratio has to be between 1.4 and 1.6, so
1.4 ≤ g/b ≤ 1.6
For completeness, Giovanni must use at least one of either bead color, so it sort of goes without saying that this system must also include the conditions
b ≥ 0
g ≥ 0
(These conditions "go without saying" because they are implied by the others. g/b is a positive number, so either both b and g are positive, or they're both negative. But they must both be positive, because otherwise b + g would be negative. I would argue for including them, though.)
If the whole angle (ABC) is equal to 133, we can add angles ABD and DBC to find x.
10x+13=133
Subtract 13 from both sides to get
10x=120
Divide both sides by 10 to get that x=12
We can now plug the value of x into ABD to find its measure.
7(12)+4
Simplifies to 84+4, which is 88
So angle ABD is equal to 88 degrees.
:)
Answer:
this is a required answer.
