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3 years ago

△DEF

Mathematics

2 answers:

ruslelena [56]3 years ago

6 0

Answer:

Given:

In Δ DEF, ∠3=∠4.

To prove:→ DE=E F

Proof:

1. ∠3=∠4------[Given]

2. →∠1 and ∠ 3 are Supplementary to each other.

(a)⇒∠1 + ∠ 3=180°

→∠2 and ∠ 4 are also Supplementary to each other.

(b)⇒∠2 + ∠ 4=180°

--------------------[Exterior sides in opposite rays]

3. From 1 , a and b

⇒∠ 1 = ∠ 2-------[Two Angles Supplementary to equal Angles are equal to each other]

If two angles of a Triangle are equal , then side opposite to these angles are equal.

Lady_Fox [76]3 years ago

3 0

Answer:

Two ∠'s supplementary to equal ∠'s are =

Step-by-step explanation:

DF=EF means that the triangle is isosceles.

This means that the base angles are equal to each other.

Because the base angles are equal to each other, their supplementary must also be equal.

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A store manager predicts that 115 hats will be sold if each hat costs $18. The manager predicts that 3 less hats will be sold fo

8_murik_8 [283]

Answer:

The prices at which manager predict that at least 55 hats will be sold would be would be of $38

Step-by-step explanation:

According to the given data we the following:

Number of hats sold at $18=115

The manager predicts at 3 less will sold for every rise in 1 $ for at least 55 hats.

Therefore, reduction in number=115 hats-55 hats=60

So, increase in price=reduction in number/number of hats manager predicts that will be sold for every $1 increase in price

increase in price=60/3=$20

Therefore, prices at which manager predict that at least 55 hats will be sold would be=$18+$20=$38

The prices at which manager predict that at least 55 hats will be sold would be would be of $38

8 0

3 years ago

I need help fast pleasee

trapecia [35]

Answer:

y = - cos ( $\frac{3}{4}$ x + $\frac{\pi }{4}$ )

Step-by-step explanation:

y = A cos ( Bx + C) + D

Vertical shift D = 0

A = - 1

Compression / Stretching B

Period of given function is $\frac{8\pi }{3}$

Period of cos x is 2π

$\frac{8\pi }{3}$ = $\frac{2\pi }{B}$ ⇒ B = $\frac{3}{4}$

Horizontal shift is C ÷ B

Horizontal shift of given function is $\frac{\pi }{3}$

$\frac{\pi }{3}$ = C ÷ $\frac{3}{4}$ ⇒ C = $\frac{\pi }{4}$

So, the equation of given function is

y = - cos (  $\frac{3}{4}$  x +  $\frac{\pi }{4}$  ) 

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2 years ago

ASAP HELP RN

Akimi4 [234]

Answer:

Part B: is -60 divided by -10

Part C: is The number of increments is positive.

Part D: is -1 times 60 / -1 times 10

Part E: is Any number divided by itself is 1. In the expression -1 times 60, the -1s in the numerator and the denominator cancel each other out to give the result 60/10, or 6

Part F: is There are 6 increments of -10 feet in -60 feet.

Part G is: copy and paste -10 feet 6 times

Part H: is -60 / 4 increments

Part I: is there is one negative number in the expression, so the solution will be negative. There isn't a -1 in the denominator to cancel out the -1 in the numerator.

Part J: is -60 /4 =-15 Alex’s elevation change in each increment was -15 feet.

Step-by-Step Explaination: I did the test.

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3 years ago

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sasho [114]

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3 years ago

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gregori [183]

Answ

Step-by-step explanation:

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