Working attached below:
Hope this helps! Any questions let me know :)
Answer:
Option A
Step-by-step explanation:
By using the definition of an exterior angle of a triangle,
"Measure of the exterior angle of a triangle is equal to the sum of measures of the opposite interior angles"
m∠STP = m∠SWT + m∠STW
Substitute the measures of the angles from the picture attached,
15x = (7x + 1) + (7x + 6)
15x = (7x + 7x) + (1 + 6)
15x = 14x + 7
15x - 14x = 7
x = 7
Therefore, Option A will be the correct option.
She uses 45 roses, 36 daisies, and 18 lilies. The reason is all of those fit the pattern used above and all of those are multiplied by the same number, making them equivalent
Answer: option 2 is the better option
Step-by-step explanation: well in this case as you are trying to find the individual prices of the candy bars, you would divide the total price by the amount of candy bars. So in this case for the first problem, you would take the total price: $6.75 and divide it by 10. The answer to this would be .675 but you would round it up to .68 so that you have a two digit decimal. Therefore the answer is .68 cents for each candy bar.
you would repeat this process for the second problem. Total price: $7.25 divided by 12 (candy bars). The answer in this problem would then be .60 cents per candy bar. Once we see how much each would be, it is just a matter of seeing which price is higher. In this case, the second option is the better option.
Sorry this was long, that's how i explain things, but i hope this helps
We can use trigonometry. The cosine of 15 will be the side adjacent to the 15-degree side (the one we are looking for) divided by 20, the hypotenuse. As cos(15) is about .966, we get 19.32 as the side we are looking for.
