<span>Complementary angles by definition sum up to 90 degrees.
Let x = measure of angle2.
It's given that angle1 = x + 54
Since complementary, we know (x+54)+x = 90
2x+54=90
2x=36
x=18.
So angle2 measures 18 degrees and angle1 is 18 degrees+54 degrees, or 72 degrees. 72+18 = 90 as expected for complementary angles.</span>
Answer:
Step-by-step explanation:
Time taken to eat the pizza in seconds =28×60=1680 seconds
If it takes 20seconds to lift, bite and chew,
Then the total bites taken to finish the pizza =1680/20 =84 bites
If for each bite 9cm² disappeared, then area that disappeared for 84bites =84×9cm² = 756cm²
Total area of pizza =756cm²
If area =(πd²)/4,
Then d² =(4×A)/π
d²=4×756/3.14=963.06
d=√963.06 = 31.03cm
1 centimeter=0.394inches
31.03cm= 0.394×31.03=12.23 inches ≈ 12inches(to the nearest inch)
The diameter of the pizza is 12inches
X + x + 10 + x + 20 + x + 30 = 84.
4x + 60 = 84.
84 − 60 = 24
4x = 24.
24 / 4 = 6 = x.
Answer:
Day One: 6 fish
Day Two: 16 fish
Day Three: 26 fish
Day Four: 36 fish
Answer:
You could use the polygon area formula OR here's an easier solution
We draw the lines DC and DE
Angle ADC = 120°
Triangle ADC is a 30 60 90 triangle
In such a triangle Line AE = hypotenuse * sq root (3) /2
Line AE = 3 * 0.8660254038 = 2.5980762114
Line DE = 1.5
Area of Triangle ADE = .5 * 1.5 * 2.5980762114 =
1.9485571586 square meters and entire area of Triangle
ABC = 6 * 1.9485571586
which equals 11.6913429513 square meters
Step-by-step explanation: