Answer:
Rate of change = (1350 - 750)/(2010 - 2000) = 600/10 = $60
Initial value = $750
Equation is y = 60x + 750; where y is the amount charged to customer and x is the number of years from 2000.
Answer:
see below
Step-by-step explanation:
The sum of the interior angles is 180
<1 + <2 + <4 = 180
<1 + 31+ <4 = 180
<1 + <4 = 180-31
<1 + <4 = 149
<2 + <3 = 180 because it forms a straight line
31 + <3 = 180
<3 = 180-31
<3 = 149
Setting theses equal (since they are both equal to 149)
<1 + <4 = <3
The exterior angle is equal to the sum of the opposite interior angles
Answer:
- 1/2
Step-by-step explanation:
We use the slope-intercept form to figure out our slope.
y = mx + b
Get y alone:
x + 2y = -8
2y = -x - 8
y = -x/2 - 4
Since m is the slope in y = mx + b, we can see that -1/2 is in the place of m, therefore our slope is -1/2
Try these solutions:
<u>Task 1.</u>
a) the required angle is arctan(CG/AC);
b) according to the condition CG=AE=11.4 (cm.);
c) BC=EH=9.6 (cm.), then
d) the required angle is:
Answer: 29°
<u>Task 2.</u>
a) the required angle is EFV (see the attached picture): arctan(EV/FE);
b) to calculate FE: FE=0.5AB=7.25 (cm.);
c) to calculate EV:
d) to calculate the required angle:
m(∠EFV)=arctan(13.80996/7.25)=arctan(1.9048)≈62.302°=62°.
Answer: 62°
You commented that part of the instruction included "If the theorem cannot be applied, explain the reason."
The theorem cannot be applied. Since this is not a right triangle, we cannot solve using the Pythagorean Theorem unless we are given a height. If we have the height of this triangle, then we can break it into two different right triangles and solve.
What is a right triangle? A right triangle is a triangle that has an angle measurement of 90 degrees.
In summary, this is an isosceles triangle and the Pythagorean Theorem only applies to right triangles.