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3 years ago

What is ED??????????????

Mathematics

1 answer:

Bumek [7]3 years ago

8 0

Answer:

ED = 8 units

Step-by-step explanation:

ΔAEB and ΔDEC are similar triangles, hence the ratios of corresponding sides are equal, that is

$\frac{AE}{DE}$ = $\frac{AB}{DC}$ , that is

$\frac{2x+4}{x+4}$ = $\frac{9}{6}$ ( cross- multiply )

6(2x + 4) = 9(x + 4) ← distribute parenthesis on both sides

12x + 24 = 9x + 36 ( subtract 9x from both sides )

3x + 24 = 36 ( subtract 24 from both sides )

3x = 12 ( divide both sides by 3 )

x = 4

Hence ED = x + 4 = 4 + 4 = 8 units

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(12) - (23 +131) = Express your answer in the form (a + bi),

4vir4ik [10]

Answer:

-142

Step-by-step explanation:

First solve parenthesis,

(12) - (23 +131) =

(12) -154

Finally subtract,

12-154

= -142

5 0

3 years ago

Work out the size of one of the exterior angles

hodyreva [135]

Given Information :-

⠀

A polygon with 10 sides ( Decagon )

⠀

To Find :-

⠀

The value of one of the exterior angles

⠀

Formula Used :-

⠀

$\qquad \diamond \: \underline{ \boxed{ \pink{ \sf Exterior ~angle = \dfrac {360^\circ}{no. ~of~sides}}}} \: \star$

⠀

Solution :-

⠀

Putting the given values, we get,

⠀

$\sf \dashrightarrow Exterior ~angle = \dfrac{360 ^\circ}{10} \: \: \\ \\ \\ \sf \dashrightarrow Exterior ~angle = \frac{36 \cancel{0}^\circ}{ \cancel{10}} \: \: \\ \\ \\ \sf \dashrightarrow Exterior ~angle = \underline{ \boxed{ \frak{ \red{36^\circ}}}} \: \star \\ \\$