Answer:
Step-by-step explanation:
All triangle must have angle values adding up to 180 degrees.First solve for y;
110+33+y=180
y=37 degrees
x is the opposite inverse angle of 33 degrees, it has an angle measure of 33 degrees.
z is equal to 110 degrees because it is opposite to that angle measure because all rhombi have 2 way symmetry.
Rate of change of profit for this period is $2750 per month
<em><u>Solution:</u></em>
Given that,
Profit of $6500 in January and $17,500 in May
<em><u>To find: Rate of change</u></em>
Since,
January is the first month of the year (1) while May is the fifth month (5)
<em><u>Therefore, we get two points</u></em>
(1, 6500) and (5, 17500)
Using these points we can find the rate of change in profit for this time period
<em><u>The rate of change using the following formula:</u></em>

Here from the points,

<em><u>Therefore, rate of change is given as:</u></em>

Thus rate of change of profit for this period = $2750 per month
Answer:
Irrational Number
Step-by-step explanation:
So, since it's a right triangle, you can use Pythagorean Theorem to calculate the measure of the hypotenuse.
Pythagorean Theorem says the hypotenuse squared = the sum of the sides squared.
5² + 6² = 25 + 36 = 61
And the square root of 61 is 7.8102496.... and the decimal continues in no distinguishable pattern. Therefore, the length of the hypotenuse is an irrational number.
Answer:
Step-by-step explanation:
line of reflection: <em>a fixed line directly in the middle of the pre-image and the reflected image. </em>
perpendicular: <em>two lines meeting at a 90 degree angle</em>
bisector: <em>line that divides something into two equal parts</em>
pre-image: <em>the original figure before any transformation or translation has been made</em>
reflected image: <em>the original image after being reflected across the line of reflection.</em>
<em />
Is the line of reflection a line running perpendicular, directly in the middle of the pre-image and the reflected image? Yes, always would be my answer.
Answer:
Slope m=2, y-intercept b=5 --> y=2x+5
Slope m=3, y-intercept b=5 --> y=3x+5
Slope m=5, y-intercept b=4 --> y=5x+4
Step-by-step explanation:
The slope number goes with x, and the y-intercept gets either added or subtracted from the end of the equation depending on weather it's positive or negative. (subtracted if it's negative and added if it's positive)