Step-by-step explanation:
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❄ Hi there,
let us start by considering this: What should we do to get x all by itself?
Since it's
- divided by 4
- multiplied by -1
we should
- multiply (both sides) by 4
- divide (both sides) by -1
So, let's start.


When we divide both sides of an inequality by a negative number, we do "the inequality flip" and <em>flip the inequality sign</em>.
❄

-
9² = 12² + 15² - 2 (12) (15) cos (B)
81 = 144 + 225 - 360 cos(B)
81 = 369 - 360 cos (B)
360 cos (B) = 369 - 81
360 cos (B) = 288
cos (B) = 0.8
-
Answer: Cosine B = 0.8
-

-
12² = 15² + 9² - 2 (15)(9) cos (A)
144 = 225 + 81 - 270 Cos A
144 = 306 - 270 Cos A
270 Cos A = 162
Cos A = 3/5 or 0.6
-
Answer: Cosine Angle A = 3/5
Answer:
B. is exactly 1 triangle
Step-by-step explanation:
For any given triangle, the sum of the internal angles is
. Thus from the given question, adding the given angles;
30° + 70° + 80° = 
Therefore, only one triangle can be produced with the given measure of angles. This implies that there is exactly one triangle. So that the correct option is B.
Answer:
- 2/5x=7/20x+1/4
- -3/4=-1/20x-1/2
- -3/4+1/20x=-1/2
Step-by-step explanation:
If you add 3/4 to both sides of the equation, you get ...
... 2/5x = 7/20x + 1/4 . . . . first choice
If you subtract 2/5x from both sides of the equation, you get ...
... -3/4 = -1/20x -1/2 . . . . third choice
If you subtract 7/20x from both sides of the equation, you get ...
... -3/4 +1/20x = -1/2 . . . . last choice
Choices 2 and 4 are erroneous versions of choices 1 and 3, so do not apply.