Answer:
Step-by-step explanation:
Both of these questions involve proportions. You can set up an equation using equivalent fractions. You want to express to ratio of cm to km in Part A. Given the scale factor 5 cm = 2 km, then we can let c = the number of cm that represent an actual distance of 5 km. The following equation can be formed:
5/2 = c/5
Both of these fractions are a ratio of cm to km. To solve, we can cross-multiply.
2c = 25
c = 12.5 cm
You can use a similar process for Part B.
Answer: 4(5+2) or 4(2+5)
Step-by-step explanation:
8 = 2*2*2
20 = 2*2*5
4(5+2) = 20+8
9514 1404 393
Answer:
y = 8
Step-by-step explanation:
You will get the same value for y whether you approach the problem by making corresponding angles equal, or by making corresponding sides equal. The equation for the sides takes less work to solve.
2y -3 = y +5
y = 8 . . . . . . . . add 3-y to both sides
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<em>Check</em>
This value of y makes the angles ...
(6y -5)° = (6·8 -5)° = 43°
(4y +11)° = (4·8 +11)° = 43°
Corresponding angles and the side between them have the same measures, so the triangles are congruent by ASA.
