Step-by-step explanation:
The Triangle Sum Theorem states that the interior angles of a triangle add up to 180 degrees. A square for an angle symbolizes that the angle is 90 °, as is the case with angle ∠ACB.
Therefore, as ∠CAB = 2x and ∠ABC = 3x, and angles ∠ACB, ∠CAB, and ∠ABC make up the interior angles of the triangle, we can say that ∠ACB + ∠CAB + ∠ABC = 180, so 90 + 2x + 3x = 180
90 + 2x + 3x = 180
90 + 5x = 180
subtract 90 from both sides to separate the x and its coefficient
5x = 90
divide both sides by 5 to separate the x
x = 18
(a) ∠CAB = 2x = 18(2) = 36
(b) ∠ABC = 3x = 18(3) = 54
(c) Any triangle with a 90° angle is called a right triangle. This has a 90° triangle, and is therefore a right triangle. Similarly, a 90° angle in a triangle is called a right angle.
Five times a variable equals the variable to the third power
I would say a line graph is probably the best way (it is usually the normal way) so that you can see the fluctations in temperature. Time on the x-axis and temp on the y-axis
Step-by-step explanation:
Given
x = 3 , y = 4
<h3>xy - 2x</h3>
= 3 * 4 - 2 * 3
= 12 - 6
= 6
Hope it will help :)
Answer:
I believe it would be 86 cups left of milk.
Step-by-step explanation:
8 gallons= 128 cups of milk
3 quarts= 12 cups
Plus the 1 cup of milk he had equals 141 of milk in total
Now the customer wants 2 gallons (32 cups of milk), 5 quarts ( 20 cups), and 3 cups which is 55 cups of milk.
Now we minus what the customer bought from what the shop keeper had so:
55-141=86