Answer:
∠ BNM = 150°
Step-by-step explanation:
Project MN to meet AB at point P, then
Δ ANP is a right triangle with sum of angles = 180°, thus
x = 180° - (90 + 30)° = 180° - 120° = 60°
∠ BNM = x + 90 = 60 + 90 = 150°
Answer: 8 + x = 3
To solve for this, we need to get x by itself on one side of the equation.
Currently, we have 8 being added to x, so we need to perform the opposite order of equations to get rid of 8.
The opposite of +8 is -8, so subtract 8.
Remember, if you add, subract, multiply or divide by any new number, you must do it to both sides of the equation.
8 + x = 3
Subtract 8 from both sides.
8 - 8 = 0
3 - 8 = -5
We're now left with:
x = -5
Your answer is A.) -5.
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Step-by-step explanation:
<h3>
Answer: B. All real numbers</h3>
Work Shown:
2(3c+3) < 6c+9
6c+6 < 6c+9 .... distribute
6c+6-6c <6c+9-6c .... subtract 6c from both sides
6 < 9 ... note the c terms go away entirely
We're left with a statement that is always true since 6 is always less than 9 regardless of what value of c we pick. So there are infinitely many solutions. Any real number can replace c to get a true statement.
It equals 1.7 because you're moving the decimal point by two places, when dividing by 100
