What is the length of segment FG? A. 3.16
B. 15.20
C. 4.58
D. 10.49

Please help me with this

D. 10.49

Step-by-step explanation:

(see attached for reference)

Here we have two right triangles formed by dividing a larger right triangle by the Altitude (height) of the larger right triangle.

In this special case, all 3 triangles (2 small and 1 large) are SIMILAR and hence we can use the ratios of similar triangles to solve this.

In our case, ΔGFE is similar to ΔGHF

hence FG/GE = GH/FG

We are given that GE = 10 and GH = 11, hence

FG/10 = 11/FG

FG² = (10)(11)

FG² = 110

FG = ±√110

FG= 10.49

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

72 is the answer to this problem