Answer:
1. ∠A = 70, ∠B = 50, ∠C = 60
2. y = 52
Step-by-step explanation:
1.
The exterior angle and the interior to that would have a SUM of 180.
So, if exterior to ∠C is 120, we can say:
exterior to C + ∠C = 180
120 + ∠C = 180
∠C = 180 - 120 = 60
∠C = 60
We also know sum of all 3 angles in a triangle is 180. Thus we can write:
∠A + ∠B + ∠C = 180
2x + x + 15 + 60 = 180
3x + 75 = 180
3x = 105
x = 105/3
x = 35
Thus,
∠A = 2x = 2(35) = 70
∠A = 70
and
∠B = x + 15 = 35 + 15 = 50
∠B = 50
2. The angle "4x" and its exterior angle "5x" is a straight line, so the sum is 180. Now, we find x:
4x + 5x = 180
9x = 180
x = 180/9
x = 20
So, we can say the angle "4x" is 4(20) = 80
We know sum of 3 angles of a triangle is 180, thus:
y + 48 + 80 = 180
y + 128 = 180
y = 180 - 128
y = 52
Prism A volume is 14 units. Prism B volume is 18 units. So prism B is the greater volume. Plz mark me brainliest
80/120, divide both numbers by 40.
2/3
Answer:
Step-by-step explanation:
The equations of the system are
From the graph it can be seen that points 
and 
falls in the bounded region.
The income will be
So, the person can do 3 small jobs and build 1 and a half cabinets per day.
The maximum income will be .
Answer:
Volume of square pyramid = 148.1 m³ (Approx.)
Step-by-step explanation:
Given:
Side length of base of square pyramid 6.6 meter
Height of square pyramid = 10.2 meter
Find:
Volume of square pyramid
Computation;
Volume of square pyramid = a²[h/3]
Volume of square pyramid = (6.6)²[(10.2)/3]
Volume of square pyramid = [43.56][3.4]
Volume of square pyramid = 148.104
Volume of square pyramid = 148.1 m³ (Approx.)
