What is the value of x? (image attached) asap ! double points and giving brainliest to first correct answer! : )

The value of x = 5 answer (a)

Step-by-step explanation:

∵ There is a line parallel to the base of the Δ and intersected the other two sides formed a small Δ inside the large triangle

∴ The small Δ and the large Δ are similar

∴ Their sides are proportion

∴

∴

∴ x(2x - 1) = (x - 2)(2x + 5)

∴ 2x² - x = 2x² + 5x - 4x -10

∴ 2x² - x = 2x² + x - 10

∴ -x - x = -10

∴ -2x = -10

∴ x = -10 ÷ -2 = 5

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

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!