V=xyz where x,y,z are the three dimensions...
V=(1 4/5)(1 4/5)1
V=(9/5)(9/5)=81/25
V=3 6/25 ft^3
Given that Lana received 18 ounces of candy and Tom received 4 times as much candy as Lana received, then the number of candy Tom received is given by 4(18) = 72.
Now, given that Tom divided his candy evenly into 9 piles. Then the number of ounces of candy in each of Tom's piles is given by:
72/9 = 8 ounces.
Answer:
- X = 70°
- arc ZY = 140°
- arc XY = 82°
Step-by-step explanation:
The angle sum theorem helps you compute the angle inside the triangle. The inscribed angle theorem helps you compute the arc measures outside the triangle.
<h3>Theorems</h3>
The Angle Sum theorem tells you the sum of angles in a triangle is 180°. That lets you write the equation ...
X +Y +Z = 180°
X +69° +41° = 180°
The Inscribed Angle theorem tells you an inscribed angle has half the measure of the central angle subtending the same arc. The arc and the central angle have the same measure: twice that of the inscribed angle.
arc ZY = 2×∠X
arc XY = 2×∠Z
<h3>Solutions</h3>
Using the equations we wrote describing the relationships of the unknowns to the known information, we find ...
X = 180° -110° = 70°
arc ZY = 2×70° = 140°
arc XY = 2×41° = 82°
Answer: this was a rotation.
