Answer:
58
Step-by-step explanation:
First, draw out your triangle on a piece of paper, and label each point w, x, and y
We are then told that side wx and yw are similar. This means that we have an isosceles triangle with two similar sides.
We are also told that angle w is equal to 64 degrees
with this information, we can assume that angle y is the same as angle x
Another important thing to note is that all triangle measures equals to 180
SO
we can make this expression:
64 + x + x = 180
Now to solve for x:
64 + x + x = 180
64 + 2x = 180
2x = 116
x = 58
Answer:
1 milliliter is 20 drops.
Answer:
£25185
Step-by-step explanation:
It depends on how many days are in your year. If it's a regular year, it's 365 days. If it's a leap year 366 days.
69 x 365 = 25185
69 x 366 = 25254
The quadratic function given by:
is in vertex form. The graph of 
is a parabola whose axis is the vertical line 
and whose vertex is the point 
. So:
To translate the graph of a function to the right, left, upward or downward we have:
By knowing this things, we can solve our problem as follows:
FIRST.
- Translating <em>11 units to the left:</em>
- Then translating<em> 5 units down:</em>
Since the new function is fatter, the factor we need to multiply the term 
<em>must be</em> less than 1, to make the graph fatter. So, according to our options, there are two factors 1/2 and 2.
<em>Therefore, the right answer is </em><em>b. f(x) = 1/2(x + 11)^2 - 5</em>
SECOND.
- Translating <em>8 units to the right:</em>
- Then translating<em> 1 unit down:</em>
As explained in the previous case, there are two factors 1/3 and 3, so we choose the first one.
<em>Therefore, the right answer is </em><em>a. g(x) = 1/3(x - 8)^2 - 1</em>
