Answer:
34
Step-by-step explanation:
We know the straight line is equal to 180°, and the three angles that make it are (x+12),100°, and x. We can use the equation 180=(x+12)+100+x to find x.
180=(x+12)+100+x
We can remove the parentheses and combine x plus x to 2x.
180=100+2x+12
100+12=112
so
180=112+2x
-112 -112
68=2x
÷2 ÷2
34=x
Answer:
y = 1/2 x²
Step-by-step explanation:
The coefficient of the first term in a quadratic, in our case here, x², will tell us how the graph stretches. This is akin to the slope within the linear graph. Similar to the slope, the smaller the coefficient value, or value of slope m, the shallower the angle.
When discussing quadratics, the larger the coefficient of our x² term, the steeper, and skinnier the graph. If we want to look for a graph that is wider than y = 2x², then we need to find a graph with a coefficient that is less than 2.
Our only option then is
y = 1/2 x²
Answer: rhombus
Step-by-step explanation:
By inspection, we can tell that there are no right angles, so we can determine it is not a square or a rectangle.
From the options, it is implied that it is a parallelogram, so to determine if it is a rhombus, we can determine if there is a pair of consecutive congruent sides.
By the distance formula,
As AB=BC, there is indeed a pair of consecutive congruent sides, and thus the most specific classification is a <em>rhombus</em>
The correct answer is 48%
There are 10 even numbers from 1 to 21.
That makes the probability of an even number 10 out 21.
10 / 21 x 100 = 48%
