Question

HELP PLZ, i need answers to this quiz

Answer 1

Answer:

Length AB: 4

Angle E: 30*

Step-by-step explanation:

scale factor=4

because 6/1.5=4

and angle would be same even if it shrinks

Answer 2

Answer:

AB=4 E=30

Step-by-step explanation:

The question says that the parallelograms are similar, so the angles should not change between the 2 shapes.

So it's pretty easy to figure out that E=30

Here's an equation I like to use for solving questions like this:

$y=x*(z/n)$

• y= the length of the unknown line
• x= the length of the known line that is in the same shape as the unknown line
• z= the length of the known line on the 2nd shape that is in the same location as the unknown line
• n= the length of the known line on the 2nd shape that is in the same location as the known line on the first shape

so for this question;

• y= the length of line AB
• x=  the length of line AD
• z=  the length of line EF
• n= the length of line EH

so to start plug in the values

$y=6*(1/1.5)$

then convert any decimals to improper fractions (fractions easier to use)

$y=6*(1/\frac{3}{2})$

solve what's in the parenthesis

$y=6*\frac{2}{3}$

then multiply

$y=4$

so line AB=4