Answer:
2. A = 30°
3. x = 12
Step-by-step explanation:
2.
The angle OPPOSITE of the angle "8x +4" is also same because they are vertical angles (makes a "cross").
The angle beside (adjacent) to the 130 degree angle is 50. Because a straight line is 180 degrees. So 130 ADDED to WHAT will make 180?
130 + WHAT = 180
WHAT = 180 - 13- = 50
Now, we have all the 3 angles of a triangle. We know sum of 3 angles in a triangle is 180, thus we can write:
3x - 6 + 50 + 8x + 4 = 180
Now, we can first, solve for x:
The value of "x" is 12. But we need measure of Angle A which is "3x - 6". So we plug in x = 12 in it.
A = 3x - 6
A = 3(12) - 6
A = 36 - 6
A = 30°
3.
The Square inside the triangle means the angle is a 90 degree angle. The other 2 angles are shown as algebraic expression.
We know sum of 3 angles in a triangle is 180 degrees. Thus we can write an equation in "x" and solve for x. Shown below:
Thus, the value of x is 12
The ceramic bowl is 396,000 years older than the other artifact.
Age of ceramic bowl = 400,000
Other artifact = 1/100 times the age of ceramic bowl
Therefore, the age of the other artifact will be :
400,000 × (1/100) = 4000 years
The difference between the age of the ceramic bowl and the other artifact :
Age of ceramic bowl - age of other artifact
400000 - 4000 = 396,000
Hence, the ceramic bowl is 396,000 years older than the other artifact.
Learn more : brainly.com/question/18796573
The probability of rolling an even number is three times (2,4,6) and the probability of rolling a number less than 5 is 4 times (1,2,3,4)
Not sure if I'm right or not but I hope this helps :)
Total number of possible outcomes of throwing two dice = 6×6 = 36
Number of outcomes of getting 9 i.e, (3+6),(4+5),(5+4),(6+3) = 4
Answer:
-11
Step-by-step explanation:
3x+10=2x-1
3x-2x+10=-1
x+10=-1
x=-1-10
x=-11