Answer:
Vertical : Angles 1 & 4 Supplementary: 5 & 6
Step-by-step explanation:
Vertical angels are angles that have the same measure that are opposites of each other (1 & 4) and supplementary angles are 2 angles that equal 180 degrees that are right next to each other or right above each other (5 & 6) (3 & 5)
Answer:
105 km
Step-by-step explanation:
Written as a proportion, the ratio of km to cm will be the same for both distances:
(x km)/(17.5 cm) = (15 km)/(2.5 cm)
x km = (15 km)(17.5/2.5) = 105 km
105 actual kilometers are represented by 17.5 cm on the map.
The number of bottles of soda purchased is 10 and the number of bottles of juice purchased is 4.
<u>Step-by-step explanation:</u>
Let us consider the soda bottles as x and juice bottles as y.
From the given data we can derive 2 equations,
35x+15y= 410. .....(1)
x=y+6. ....(2)
Substitute equation (2) in (1),
35(y+6)+15y=410.
35y+ 210+15y=410.
50y+210=410.
50y=410-210.
50y=200.
y=4.
Substitute y value in equation (2),
x=4+6.
x=10.
The number of bottles of soda purchased is 10 and the number of bottles of juice purchased is 4.
