Question

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Finding missing sides- similar triangles Algebraic practice )

Answer 1

Answer:

k=6

?=24

Step-by-step explanation:

$\frac{ln}{xz} = \frac{nm}{zy} = \frac{lm}{xy}$

$\frac{36}{k + 3} = \frac{44}{k + 5}$

Now we just cross multiply

44(k+3)=36(k+5)

44k+132=36k+180

Take k-values to one side

44k-36k=180-132

8k=48

k=6

Now we can use k to find ?

$\frac{44}{6 + 5} = \frac{36}{6 + 3} = \frac{?}{6}$

once simplified we get:

$\frac{44}{11} = \frac{36}{9} = \frac{?}{6}$

$4 = 4 = \frac{?}{6}$

in essence we know that:

$\frac{4}{1} = \frac{?}{6}$

so we can cross multiply:

?=24

Answer 2

36 / k+3 = 44 / k+5

crossmultiply:
44k + 132 = 36k + 180
8k = 48
k = 6

? / 6 = 44 / 11
? / 6 = 4 / 1

cross multiply:
? = 24