The two triangles in the diagram are similar. there are two possible values of x. work out each of these values. state both assumptions you make in your working.

this gave me 4 marks

Step-by-step explanation:

scale factor = 18/10   = 1.8

AC = 15 x 1.8 = 27

So x = 17

15+3=18

18/15= 1.2

scale factor= 1.2

10x1.2= 12

12-10=2

x=2

By changing the order of vertices,

We have four conditions,

When we have or ,

Then by the property of similar angles,

⇒

⇒

⇒

⇒

⇒  x = 2

But,   or is given,

Then by the property of similar triangles,

⇒

⇒

⇒

⇒

⇒  x = 17

Note: is reflexive angle in both triangles this is why, in each condition we took A is corresponding to A.

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

answer: c. is your answer

step-by-step explanation: get me a black leather coat