Answer:
∠p= 15° , ∠q = 108° , ∠r = 57°
Step-by-step explanation:
Given that for triangle PQR,
∠P = x -12
∠q = 5x -27
∠r = 2x + 3
Now sum of three angles of a triangle = 180°
i.e ∠p + ∠q +∠r = 180°
So, (x -12)° + (5x-27)° + (2x + 3)° = 180°
or, 8x° -36° = 180°
Or x =
So, x = 27°
∴ ∠P = 27° -12° = 15°
∠q = (5 × 27)° -27° = 108°
∠r = (2 × 27)° + 3° = 57°
Hence ∠p= 15° , ∠q = 108° , ∠r = 57° Answer
Answer:
D.
Step-by-step explanation:
A multiple is a number that can be divided by another number without a remainder. These are all multiples of 12 because they can all be divided by another number without a remainder.
Answer:
$0.1 is the additional fee per mile.
Step-by-step explanation:
Given:
Fixed charge = $35.99
Total Bill charged = $90.99
Number of miles traveled = 550 miles
Let additional fee per mile be x.
Now total bill Charge = Fixed charge + additional fee per mile × Number of miles traveled
The expression can be represented as;
Hence, the additional fee per mile is $0.1.
Answer: C
Step-by-step explanation:
Rejecting the null hypothesis means we've found a significant difference in the means. That means the probability that we'd see means so far apart by chance is less than our threshold of significance.
Answer:
Positive co terminal angle = 562°
Negative co terminal angle = -158°
Step-by-step explanation:
We have been given the angle 202° and we have to find one positive and one negative co-terminal angle.
In order to find the co terminal angle, we add and subtract 360° to the given angle.
Therefore, the negative co terminal angle is given by
202 - 360 = -158°
And the positive co terminal angle is given by
202 + 360 = 562°