Answer:
scalene and obtuse
Step-by-step explanation:
Answer:
6/8,
12/16,
24/32
48/64
96/128
192/256
384/512
Step-by-step explanation:
<h2>
Answer:</h2>
The constraint which represent a thriving population of penguins at the zoo is:
0 < x ≤ 10 and 0 < y ≤ 20.
<h2>
Step-by-step explanation:</h2>
Let x = the number of female penguins and y = the number of male penguins.
Now, it is given that:
The group needs two times more males than females to thrive, and the zoo only has room for 10 female penguins.
This means that:
0 < x ≤ 10
( Because there are no room for more than 10 penguins )
Also,
y= 2x
Since,
x>0
This means that: 2x>0
i.e. y>0
and x ≤ 10
i.e. 2x ≤ 20
i.e. y ≤ 20
Hence, the constraints which represent a thriving population of penguins at the zoo is:
0 < x ≤ 10 and 0 < y ≤ 20.
<h3>
Answer: 226 degrees</h3>
=====================================================
Explanation:
Notice the tickmarks on the segments in the diagram. This tells us that chords DC and CB are the same distance from the center. It furthermore means that DC and CB are the same length, and arcs DC and CB are the same measure
arc DC = arc CB
12x+7 = 18x-23
12x-18x = -23-7
-6x = -30
x = -30/(-6)
x = 5
---------------------
Use this x value to find the measure of arcs DC and CB
- arc DC = 12x+7 = 12*5+7 = 67
- arc CB = 18x-23 = 18*5-23 = 67
We get the same measure for each, which helps confirm we have the correct x value.
The two arcs in question add to 67+67 = 134 degrees. This is the measure of arc DCB. Subtract this from 360 to get the answer
arc DAB = 360-(arc DCB) = 360-134 = 226 degrees
I'm using the idea that (arc DCB) + (arc DAB) = 360 since the two arcs form a full circle.
