Answer:
- 6.04 km (per angle marks)
- 5.36 km (per side hash marks)
Step-by-step explanation:
Going by the angle indicators, the ratios of corresponding sides of the similar triangles are ...
x/2000 = 4200/3500
x = 2000·6/5 = 2400 . . . . yards
Then the distance of interest is ...
(2400 yd + 4200 yd)×(0.0009144 km/yd) = 6.6×.9144 km
= 6.03504 km ≈ 6.04 km
_____
Going by the red hash marks, the ratios of corresponding sides of the similar triangles are ...
x/2000 = 3500/4200
x = 2000·(5/6) = 5000/3 . . . . yards
Then the distance of interest is ...
(5000/3 + 4200) yd × 0.0009144 km/yd ≈ 5.36 km
_____
<em>Comment on the figure</em>
The usual geometry here is that the outside legs (opposite the vertical angles) are parallel, meaning that the angle indicators are the correct marks. It is possible, but unusual, for the red hash marks to be correct and the angle indicators to be mismarked. The red hash marks seem tentatively drawn, so seem like they're more likely to be the incorrect marks.
Well, for his you would have to find the unit rate.
The easiest way to do this would first be converting 3/5 into a fraction (0.6)
next, divide that by 4 to get the weight of 1.
0.6/4 (the same as 0.6 x 0.25 or 6/10 x 1/4 if you are doing it without a calculator)
each bread weighs 3/20 (or 0.15) pounds.
The angles of a triangle always equal to 180 degrees.
Knowing this, you can solve this by this equation
Angle A + Angle B + Angle C = 180
43 + 85 + Angle C = 180
Angle C = 180 - 43 - 85
Angle C = 52
Answer:
33 sq cm.
Step-by-step explanation:
Let's calculate each shape serperately,
--------
For the square, the area is 25 since
5 × 5 = 25
-------
For the rectangle, the area is 8:
4 × 2 = 8
-----
Add these together to get 33 sq cm
Have a good day :)
The point (-3,11) is a solution to : y > = x - 2, 2x + y < = 5