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3 years ago

Tell whether DEF and GEF can be proven congruent

Mathematics

1 answer:

Genrish500 [490]3 years ago

6 0

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The Correct choice is A

that is :

Yes, DEF and GEF can be proven congruent by HL

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Find A and B. Using the image above.

NeX [460]

Answer:

a = 7, b = $\frac{7\sqrt{3} }{3}$

Step-by-step explanation:

Using the sine ratio in the left right triangle and the exact value

sin45° = $\frac{1}{\sqrt{2} }$ , then

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{a}{7\sqrt{2} }$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

a × $\sqrt{2}$ = 7 $\sqrt{2}$ ( divide both sides by $\sqrt{2}$ )

a = 7

--------------------------------------------------------

Using the tangent ratio in the right triangle on the right and the exact value

tan60° = $\sqrt{3}$ , then

tan60° = $\frac{opposite}{adjacent}$ = $\frac{a}{b}$ = $\frac{7}{b}$ = $\sqrt{3}$ ( multiply both sides by b )

b × $\sqrt{3}$ = 7 ( divide both sides by $\sqrt{3}$ )

b = $\frac{7}{\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$ = $\frac{7\sqrt{3} }{3}$

7 0

3 years ago

Find the cost of 4 tubes of oil paint and 2 canvases

Alona [7]

Answer:

You have to put in the whole word problem

Step-by-step explanation:

5 0

4 years ago

Awnser please fast ,,,,,,,,,

leva [86]

Answer:

there's this one app called Photomatix that does any algebra problem

4 0

3 years ago

Here is it 13 more to go

Alik [6]

Step-by-step explanation:

Formula for simple interest:

$a = p(1 + rt)$

where

a = final amount

p = principal amount

r = interest rate per annum

t = time in years

Now, we are finding a, the final amount, and given,

p = $650

r = 5.5% (5.5/100)

t = 4 years

$a = 650(1 + (\frac{5.5}{100} )(4)) \\ = 650(1 + (0.055)(4)) \\ = 650(1 + 0.22) \\ = 650(1.22) \\ = 793 \: dollars$

3 0

3 years ago

Read 2 more answers

X squared minus 4X minus 32 / x squared + 7x + 12

andrew-mc [135]

(x² - 4x - 32) / (x² +7x +12)
factor both the numerator and denominator
[(x-8)(x+4)] / [(x+3)(x+4)]
Since (x+4) is in both the numerator and denominator, it can be cancelled out:

(x-8)/(x+3) is the simplified form

7 0

4 years ago

Tell whether DEF and GEF can be proven congruent​

Tell whether DEF and GEF can be proven congruent