106 + m∠p = 180
Subtract 106 from both sides.
m∠p = 74°, the second option.
Her average rate is .615 miles per minute or about 37 miles per hour
Answer:
x = -2
∠A = 35
Step-by-step explanation:
x + 37 + x + 57 = 90
reduce:
2x = -4
x = -2
∠A = 37-2 = 35
Answer:
Step-by-step explanation:
The explicit formula for an arithmetic sequence is given by 
, where 
is the 
th, 
is the first them of the sequence, and 
is the common difference.
In the given sequence -8, -3, 2, 7, we can see that we're adding 5 to each term. Therefore, the common different is positive five (+5). We can also identify the first term is -8. Therefore, we have:
Thus, the explicit formula for this sequence is:
Answer:
11 units^2
Step-by-step explanation:
We know that the area of a square is the side squared, so we can use the inverse of this formula to say the side of a square is the square root of the the area. This gives us√33 and √44 as the side lengths of the red and green squares respectively. Next, we use the pythagorean theorem to find the other side of the white right triangle, which is also a side of the blue square. So:
(√44)^2 - (√33)^2 = side^2
44 - 33 = side
side^2 = 11
side = √11
To find the area of a square, you just square the side, so we get (√11)^2 which is just 11 units^2.
