Answer:
98°
Step-by-step explanation:
m∠1 = m∠2
5x + 12 = 7x - 16; substitute the given
2x = 28
x = 14
m∠2 + m∠3 = 180; supplementary angles
82 + m∠3 = 180
m∠3 = 180 - 82
m∠3 = 98 degrees
Answer:
- {-3.2, -1.4, 0.4 2.2, 4.0, 5.8}
- common difference: 1.8
Step-by-step explanation:
The difference between the two numbers is ...
5.8 -(-3.2) = 9
The four "means" divide this interval into 5 parts, so each part has a length of ...
9/5 = 1.8 . . . . the common difference
The values of the "means" can be found by adding 1.8 successively:
-3.2 +1.8 = -1.4
-1.4 +1.8 = 0.4
0.4 +1.8 = 2.2
2.2 +1.8 = 4.0
Including the given numbers, the arithmetic sequence is ...
-3.2, -1.4, 0.4, 2.2, 4.0, 5.8 . . . . . common difference of 1.8
Step-by-step explanation:
i hope it helps you!! :)))
Since we have the triangle, but don't know which side 4 is on, we have one where x is opposite a 50 degree angle (they are the same if across either 50 degree side) and another across the 80 degree one. In addition, it's really ratios and sin/cos/tan from there!
Answer:
The correct answer is in bold below written in two different ways. I think that the two middle options of your problem were given by mistake. The correct answer is not in the options.
Step-by-step explanation:
cost of yogurt = cost of toppings + cost of yogurt with 1 topping
cost of yogurt with 1 topping = $3.65
cost of yogurt = cost of toppings + 3.65
cost of 1 additional topping = $0.45 * 1
cost of 2 additional toppings = $0.45 * 2
cost of x additional toppings = $0.45 * x = 0.45x
Since 1 topping is included in the $3.65 charge, if you pay for x additional toppings, you will have x + 1 total number of toppings. That means you must pay for only x - 1 additional toppings to have a total of x toppings.
One topping is already included in the $3.65 charge, so you pay for only x - 1 additional toppings.
cost of x - 1 additional toppings = 0.45(x - 1)
cost of yogurt = 0.45(x - 1) + 3.65
y = 0.45(x - 1) + 3.65
y = 0.45x - 0.45 + 3.65
y = 0.45x + 3.2
