Answer:
63 degrees
Step-by-step explanation:
180 = 117 = 63
Answer:
TRUE
Step-by-step explanation:
We are given 2 triangles, ∆ABC and ∆DEF.
For the two trinagles to be considered similar, both must have their set of corresponding angles congruent to each other. That is, their corresponding angles are equal.
From the information given, the following are the set of corresponding angles:
<B = <E = 31°
<B = <D = 90°
<C = <F = 59° [180 - (90+31)]
The corresponding angles of both triangles are congruent. Therefore, it is guaranteed that ∆ABC is similar to ∆DEF (∆ABC ~ DEF).
The temperature at 5 am was -3 degrees
12-15=-3
Answer:

Step-by-step explanation:
First we'll work out the surface area of the pink figure.
That's the area of the two 5 by 6 rectangles on the top and bottom, plus the area of the two 5 by 20 and two 6 by 20 rectangles on the sides.
However, we note that the purple figure is blocking out a 6 by 12 section on the pink figure, so we'll need to subtract this.
The above works out to
.
Then we'll work out the surface area of the purple figure.
This will be the area of the two 4 by 6 rectangles at the top and bottom, plus the area of the two 4 by 12 and one 6 by 12 rectangles on the sides. Note that there's only one 6 by 12 rectangle because the other face is joined to the pink figure, so it's blocked out.
That's
.
So the total surface area is
.
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