Answer:
x = 100°
y = 125°
z = 55°
Step-by-step explanation:
A straight line is 180°
A triangle is 180°
Solve in this order:
X: 180 - 80 = 100
Z: 180 - 80 - 45 = 55
Y: 180 - 55 = 125
Answer:
Correct option is (C).
Step-by-step explanation:
Because in figure,
°.°point B is fixed at plane.
.°.Center is B.
& °.° Image is enlargement.
.°. scale factor will be greater than 1
Now,
scale factor = A'B'/AB
= 24/6
= 3
So correct option is (C).
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Answer: D
Step-by-step explanation: payment equals to money earned per hour (p=6.25h).
Answer:
d = 7.4 cm is the distance between the two cities on the map.
Step-by-step explanation:
Let d = the distance measured on the map in centimeters (cm) between any two locations and let D be the actual distance in kilometers (km) between these same two locations.
Since the scale on the map is 1 cm = 45 km, then the ratio of the distance on the map to the actual distance is equal to 1cm/45 km; therefore the quotient of any measured distance d on the map divided by the corresponding much longer actual distance D would have to maintain (equal) this same ratio; In other words, we can set up the following proportion to solve for d given the actual distance D = 333 km as follows:
1 cm/45 km = d/D
Substituting, we get:
1 cm/45 km = d/333 km
d/333 km = 1 cm/45 km
(d/333 km)(333 km) = (1 cm/45 km)(333 km)
d = (333 km/45 km)(1 cm)
d = 7.4 cm is the distance between the two cities on the map.
Check:
1 cm/45 cm = d/333 km
1 cm/45 cm = 7.4 cm/333 km
1 cm/45 cm = 1 cm/45 km (Therefore, the distance ratio of the map has been maintained
