2,600/4 =650
650•5 =3,250
I found the unit rate of the 2,600 by dividing the per hour and then times it by the 5 hours
Hopefully that was what you were looking for
6x + 4y = 12...subtract 6x from both sides
4y = -6x + 12 ...divide both sides by 4
(4/4)y = (-6/4)x + 12/4...reduce
y = -3/2x + 4 <== y = mx + b
The length of the mirror is 64.52 cm
<u>Explanation:</u>
Given:
Distance of the person from the mirror = 145cm
Angle of depression = 14°
Angle of elevation = 11°
Vertical dimension of the mirror = ?
For angle of elevation:
For the angle of depression:
Total length of the mirror, AC = AB + BC
= 28.275 + 36.25cm
= 64.52 cm
Therefore, the length of the mirror is 64.52 cm
Problem 1
We're given that angle A = angle B. Also that angle B = angle C.
By the transitive property, we can say angle A = angle C.
So basically all three angles are equal to one another. Let's call that unknown angle x.
For any triangle, the three angles always add to 180, so,
x+x+x = 180
3x = 180
x = 180/3
x = 60
That proves angles A,B, and C are each 60 degrees. This triangle is considered equiangular since all angles are the same. Furthermore, the triangle is also considered equilateral meaning all sides are the same. The term equilateral is more widely used, so I'd go with that term if you could only pick one.
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Problem 2
As mentioned in problem 1, the three angles of a triangle add to 180
A+B+C = 180
A+B+90 = 180
A+B+90-90 = 180-90
A+B = 90
This shows A and B are complementary angles. Complementary angles by definition add to 90 degrees.
