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3 years ago

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DF bisects EDG. Find FG. the diagram is not scale. PLEASE SHOW ALL STEPS

2 answers:

aleksklad [387]3 years ago

7 0

I hope this helps you

vodomira [7]3 years ago

6 0

<span>In the picture, we have two triangles. Since EDG was bisected, that means angle EDF and angle FDG are equal. We also see that the triangles contain 90 degree angles as well. Since two of three angles are the same, this means the third angle must also be the same. Because the triangles contain the same angle measurements, they are similar. Because they both share the same side, and all three angles, then the two triangles must be congruent. This means that EF = FG or, equivalently n + 9 = 4n - 6 Solve this equation for n, then plug that value into FG</span>

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3 years ago

Read 2 more answers

How many cubes with side lengths of 1/2 cm does it take to fill up the prism

ELEN [110]

24 cubes can filled up the prism

Solution:

The image of the question is attached below.

Given data:

Length of the prism = 2 cm

Breadth of the prism = 1 cm

Height of the prism = $$\frac{3}{2}$ cm

Volume of the prism = length × breadth × height

$$=2\times 1\times \frac{3}{2}$

$=3$ cubic cm

Volume of the prism = 3 cubic cm

Side length of the cube = $$\frac{1}{2}$ cm

Volume of the cube = side × side × side

$$=\left(\frac{1}{2}\right)^{3}$

$$=\frac{1}{8}$ cubic cm

Volume of the cube = $\frac{1}{8}$ cm

$$\text{Number of cubes} =\frac{\text{Volume of the prism}}{\text{Volume of the cube}}$

$$=\frac{3}{\frac{1}{8} }$

$=3\times8$

$=24$

Number of cubes = 24

Hence 24 cubes can filled up the prism.

4 0

3 years ago