I can never understand these someone please help

145) A

146) C

147) B

148) D

Step-by-step explanation:

_____________________145_____________________

Starting with number 145 it mentions that XY = 24 and XY:YZ = 1:2.

XY:YZ means ratio of XY over YZ so for each 1 XY there is 2 YZ.

Moving on and taking note that XY=24 so this means that,

Solving the above expression by cross multiplying 24x2 will give you YZ = 48. The same method applies to #146 and #148 the next questions.

_____________________146_____________________

YZ = 9 and XY:YZ=2:3

XY= (2x9)/3 = 6

XY = 6

_____________________147_____________________

Given:

XZ = 2ft

YZ = 18in

In this question, you will have to refer to the proportion line given above the questions. It mentions that XZ = 2ft (which is the whole line) and YZ = 18in (which is from Y to Z). Take note that the units are not the same.

They're looking for XY which is the only unknown length in the given proportion line. To get XY you'll have to subtract XZ - YZ, but the units are not the same so you'll have to convert feet to inches since the answer options are given in inches.

Convert 2ft to inches:

To convert from feet to inches you'll have to multiply by 12 so 2x12 = 24.

Therefore, XZ = 24in

Now we subtract:

XZ - YZ = XY

24 - 18 = 6in

_____________________148_____________________

YZ = 1ft

XY: YZ = 1:4

YZ is given in feet and the answers are provided in inches so we'll have to convert.

1 x 12 = 12in

YZ = 12in

XY = (1x12)/4 = 3in