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3 years ago

Is ABC ~ DEF? Explain.

Mathematics

1 answer:

Ainat [17]3 years ago

5 0

Answer:

All of the angles are congruent in both triangles

Step-by-step explanation:

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Please help me asappppppppp i will give a brainlest

FromTheMoon [43]

Answer:

No, she is wrong. Look at the coordinates on function A. They don't match up.

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3 years ago

How much money will Gregory donate if the students read 325 books this summer? show your work he will donate 5$ for every book

Anna11 [10]

To solve this multiply the number of books(325) by how much he will donate per book ($5)
325*5=$1625

7 0

4 years ago

Rectangle GHIJ inscribed in a circle, GK⊥JH, GK = 6cm, m∠GHJ = 15°. Find the radius of the circle. pls help !!

Mariulka [41]

Answer:

6(2 + √3)

Step-by-step explanation:

Given : Rectangle GHIJ inscribed in a circle. GK⊥JH, GK = 6 cm and m∠GHJ=15°.

To find: Radius(KH) =?

Sol: As given in figure 1, Since GK⊥JH ∴ m∠GKH = 90° . Let GK = x cm.

Now, In ΔGKH,

$tan\Theta =\frac{perpendicular}{base}$

$tan\Theta =\frac{GK}{KH}$

$tan 15^{\circ} =\frac{6}{x}$

$2-\sqrt{3} =\frac{6}{x}$ (∵ tan 15° = 2 - √3)

$x = \frac{6}{2-\sqrt{3} }$

On rationalizing the above expression,

$x = \frac{6}{2-\sqrt{3} } \times \frac{2+\sqrt{3} }{2+\sqrt{3} } =\frac{6(2+\sqrt{3} )}{4-3}$

Therefore, radius of the circle (KH) = 6 (2+√3)

This is how to find the value of tan 15°

tan 15° = tan (45° -30°)

Now using,

$tan(A-B) = \frac{tanA-tanB}{1+tanA tanB}$

$tan(45^{\circ} - 30^{\circ}) = \frac{tan 45^{\circ}-tan30^{\circ}}{1+tan 45 tan30}$

$tan(45^{\circ} - 30^{\circ}) = \frac{1-\frac{1}{\sqrt{3}}}{1+1\times \frac{1}{\sqrt{3}}}=\frac{\sqrt{3}-1}{\sqrt{3}+1}$

On rationalizing,

$tan 15^{\circ} = \frac{\left (\sqrt{3}-1 \right )^{2}}{3-1} =\frac{4-2\sqrt{3}}{2}$

Taking 2 common from numerator,

tan 15° = 2 - √3

5 0

3 years ago

Read 2 more answers

Pls help. need explanation too pls

FrozenT [24]

Answer:

-3 ≤ x ≤ 13

Step-by-step explanation:

Values on x- axis between -3 and 13 both numbers included:

x = [-3, 13]
-3 ≤ x ≤ 13

5 0

3 years ago

Can you explain what went wrong and the actual answers these 3

vlada-n [284]

For the first one, they got rid of the 6x when they shouldn’t have, and the correct answer is x = 21.5

For the second one, 47 would be subtracted by 180, not 90, and the correct answer is 133

For the third one, 5x - 10 doesn’t equal 115, 5x - 10 equals 180 - 115, and the correct answer is x = 17

7 0

3 years ago

Read 2 more answers