Answer:
x = 20°
y = 30
Step-by-step explanation:
The triangle given on close inspection, it is an equilateral triangle.
Each angle in an equilateral triangle is equal. Likewise, each side is equal.
Thus;
16 + y = 46
y = 46 - 16
y = 30
The triangle that has angle 80°, the other complete angle is 60° because it's an angle of an equilateral triangle.
Thus, the smaller angle there is;
180 - (80 + 60) = 40°
Because sum of angles in a triangle is 180°
Now, x + 40 = 60°
Since that's also an angle of an equilateral triangle.
x = 60 - 40
x = 20°
Answer: -19x
Step-by-step explanation: In this problem, we're asked to simplify the expression.
The two parts of this expression, -8x and 11x are called terms. The numbers in front of the variables are called coefficients.
Because the variables, x and x are identical, the terms get a special name and they're called like terms.
To subtract like terms, we simply subtract their coefficients and add the variable on to the difference of the two numbers.
Since -8 (-11) is -19, -8x - 11x simplifies to -19x.
Answer:

Step-by-step explanation:
Number of blue marbles = 8
Total number of marbles = 16+8+7+1=32
