Answer:
a. x = ½, and x = -1
Step-by-step explanation:
Given the equation, 7|12x + 3| - 1 = 62, solve as follows:
Add 1 to each side of the equation
7|12x + 3| = 62 + 1
7|12x + 3| = 63
Remove the absolute value to create ± on the right side of the equation
7(12x + 3) = ±63
Solve the positive portion of the solution
7(12x + 3) = 63
84x + 21 = 63
Subtract 21 from both sides
84x = 63 - 21
84x = 42
Divide both sides by 84
x = 42/84
x = ½
Solve the negative portion of the solution
7(12x + 3) = -63
84x + 21 = -63
Subtract 21 from each side of the equation
84x = -63 - 21
84x = -84
Divide both sides by 84
x = -84/84
x = -1
The answer is: x = ½, and x = -1
Answer:
Equilateral: 3rd Triangle
Isosceles: 1st, 2nd, and 4th Triangle
Scalene: 5th Triangle
Step-by-step explanation:
Definitions:
Equilateral: All sides are equal (3 slash marks)
Isosceles: Only two sides are equal (2 slash marks)
Scalene: No sides are equal (0 slash marks)
To solve this, look for some factors which could go into the number. Since it ends in a 0, the number 10 is a factor. Since 990 is the product of these factors (meaning they are multiplied together) you can divide out the 10, since division is the opposite of multiplication. This leaves you with the number 99. You can repeat this same process again, realizing that 9 must be a factor of 99 because both digits are 9. If you divide out the 9, this leaves you with 11.
Thus, we know 9*10*11 equals 990. Also, these numbers are consecutive because they increase by 1 each time.
The sum of the numbers is 9+10+11, whicj Iis 30.
ANSWER: 30
Answer:
Can I see an attachment if there is a graph or something???
X is 65 because there is a theorem saying that when a transversal crosses two parallel lines, the corresponding angles are congruent. Since x is the other side of the corresponding angle of 115, you have to do 180-115, since a straight line is 180°.
