The function is defined for all real numbers x
D=R
Answer:
B = 160°
Step-by-step explanation:
This is how I solved it (I hope the explanation isn't too confusing):
Since L and K are parallel, I drew a straight line from A to B. By doing this, I'm making a triangle: ΔABC
Then I solved for the angles of the triangle. First, we are given that ∠C = 80° and ∠A = 120°. Although, when I drew the vertical line from A to B, it made a 90° (see attachment).
So what we basically did was break ∠A into two parts: an angle inside ΔABC and one outside. To find the interior angle, simply subtract 90° from 120° to get 30°.
There are 180° in a triangle, so add the two interior angles you know:
30° + 80° = 110°
Then subtract 110° from 180° to find the final interior angle which is:
180° - 110° = 70°.
To find the measure of angle B, you must add all of the parts together, so the 90° outside angle and the 70° interior angle:
90° + 70° = 160°
12x - 4x = 8 + 3 - 3
8x = 8
X = 1
Answer:
7 hours
Step-by-step explanation:
47+23=70
1hour = 70 toys
? = 490 toys
Then you cross multiply:
1hour*490 toys= 490/70 = 7 hours
____________
70 toys
Answer: 15
REMEMBER: The mode is the value that appears most frequently in a data set.