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Butoxors [25]
2 years ago
14

PLEASE HELP!!! :))

Mathematics
1 answer:
Nina [5.8K]2 years ago
4 0

For a better understanding of the solution given here please find the attached file which has the relevant diagram.

To answer this question we will have to make use of <u>the Isosceles Triangle Theorem</u> which states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle. Thus, as a corollary we know that is EF is the angle bisector of the vertex angle ∠E, then, EF is the perpendicular bisector of the of the base DK.

Please follow the diagram of a complete understanding of the logic and the solution.

As EF is the angle bisector as given in the question, thus we will have:

m\angle DEK=2\times m\angle DE F=2\times 43^{\circ}=86^{\circ}.

Also, from the Theorem we know that KF will be half of DK and thus, KF will be:KF=\frac{1}{2}DK= \frac{1}{2}\times 16=8 centimeters.

Likewise, from the same theorem we have: m\angle EFD=90^{\circ}

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The equation that could be used to determine L, the unknown side length of the logo is A =2.5w

<h3>How to determine the equation?</h3>

The given parameters in the question are:

  • Shape: Rectangle
  • Height of logo, h = 2 1/2 feet

From the question we understand that the area is at maximum.

Represent this area with A

The area of the rectangle is:

A = h * l

Where h and l are the dimensions of the rectangle.

Substitute 2 1/2 for h

A = 2 1/2 * l

Express 2 1/2 as a decimal number

A = 2.5 * l

Evaluate the product

A =2.5l

Hence, the equation that could be used to determine L, the unknown side length of the logo is A =2.5w

Read more about areas at:

brainly.com/question/24487155

8 0
2 years ago
Simplify : this problem
Nikitich [7]
Answer:
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3 years ago
if there r 4 students and The cost for a skating rink cost $35 per student how much will it cost for 60 students
Arte-miy333 [17]

Answer:2100

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6 0
2 years ago
Find f(−5) if f(x)=|x+1|. Type a numerical answer in the space provided. Do not type spaces in your answer.
marin [14]
<h3>Answer:   4</h3>

===============================================

Work Shown:

f(x) = |x+1|

f(-5) = |-5+1| .... x is replaced with -5

f(-5) = |-4|

f(-5) = 4

6 0
2 years ago
A SINGLE CARD IS DRAWN AT RANDOM FROM A STANDARD DECK OF 52 CARDS. FIND THE PROBABILITY OF DRAWING THE FOLLOWING CARDS. PLEASE R
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Answer:

A. \frac{17}{52}

B. \frac{17}{52}

C. \frac{2}{13}

Step-by-step explanation:

A.

There are 52/4 diamonds in the deck and 4 '5's in the dech of cards

52/4 = 13 + 4 = 17

Therefore, you have a  \frac{17}{52} chance of drawing one of those cards.

B.

There are 13 hearts in the deck and 4 jacks. Therefore, your odds are the same : \frac{17}{52}

C.

There are 4 jacks in a deck of cards and 4 '8's in a deck of cards

Therefore your probability is \frac{8}{52} which simplifies to =\frac{2}{13}

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