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IrinaK [193]
3 years ago
14

I have 3 questions, 20 points each please explain your answer and show work, and PLEASE GIVE AN ACTUAL ANSWER. PLEASE ANSWER SOO

N.
1. The diagram shows 5 ft student standing near a tree. The shadow of the student and the shadow of the tree end at point A. What is the height of the tree? Show all your work, and make sure to include units in your final answer.


2. 2. Provide the missing reasons for the proof.

Given: ∠C ≅ ∠E
Prove: ABC ~ DBE


Answer:
Statement Reason
1. ∠C ≅ ∠E 1.
2. ∠ABC ≅ ∠DBE 2.
3. ABC ~ DBE 3.



3. 3. Using Postulates and/or Theorems learned in Unit 1, determine whether PRQ ~ MRN. Show all your work and explain why the triangles are similar or why they are not.

The first picture is for 1st question and the second picture is for the second question, help will be GREATLY appreciated and I will mark Branliest.

Mathematics
1 answer:
alexdok [17]3 years ago
5 0

Answer:

Step-by-step explanation:

1.From the given triangle, ABC, using the proportionality theorem, we get

\frac{FA}{CA}=\frac{EF}{BC}

⇒\frac{8}{40}=\frac{5}{x}

⇒x=25ft

Thus, the height will be 25 feet.

2.  

Statement                                                   Reason

1.∠C≅∠E                                                     Given

2. ∠ABC≅∠DBE                                Vertically opposite angles

3. ΔABC is similar to ΔDBE               AA similarity rule.

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Using pythagorean theorem find a, and b, where a is twice of b and the hypotonuse is 5√5
patriot [66]
Measure of Hypotaneous = 5√5

And it's already given that b = 2a

By using pythagoras theorem:

a²+ b² = (5√5)²

Let's substitute for b as 2a in above equation we'll get:

a² + (2a)² = (5√5)²

a² + 4a² = 125
5a² = 125
a² = 25
a = √25 = 5


Therefore,
a= 5
and
b = 2a = 2(5) = 10.


3 0
3 years ago
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How many more cents per item is 3 items for $10 than 2 items for $5? Express your answer to the nearest whole number.
fiasKO [112]
10/3: 3.33
5/2:2.50

3.33-2.50=0.83

Answer: 83 cents.

5 0
3 years ago
Financial planners recommend that families save about 5% of their take-home pay. Ed and Sherrie save $90 each pay period from th
Ratling [72]

Answer:

Ed and Sheerie save 7.5%.

Step-by-step explanation:

This question can be solved using a rule of three.

Ed and Sherrie save $90 each pay period from their combined paychecks, which total $1200. What percent do Ed and Sherrie save?

How much of $1200 is $90? $1200 is 100% = 1, $90 = x. So

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7 0
3 years ago
Solve the following logarithmic equations.<br> ln(x^6) = 36
Hoochie [10]

Answer:

The solution is x = e⁶

Step-by-step explanation:

Hi there!

First, let´s write the equation

ln(x⁶) = 36

Apply logarithm property: ln(xᵃ) = a ln(x)

6 ln(x) = 36

Divide both sides of the equation by 6

ln(x) = 6

Apply e to both sides

e^(ln(x)) = e⁶

x = e⁶

The solution is x = e⁶

Let´s prove why e^(ln(x)) = x

Let´s consider this function:

y = e^(ln(x))

Apply ln to both sides of the equation

ln(y) = ln(e^(ln(x)))

Apply logarithm property: ln(xᵃ) = a ln(x)

ln(y) = ln(x) · ln(e)         (ln(e) = 1)

ln(y) = ln(x)

Apply logarithm equality rule: if ln(a) = ln(b) then, a = b

y = x

Since y = e^(ln(x)), then x =e^(ln(x))

Have a nice day!

8 0
3 years ago
1. You have three standard decks of cards in front of you. What is the probability of drawing a heart card from all three decks?
Paladinen [302]

Answer:

1.56%

Step-by-step explanation:

A standard deck of cards has 52 cards, and 13 of these are hearts, as there are 4 suits, and 52/4=13. This means the probability of choosing a heart card from a deck of cards is 1/4, or 25%. Now to find the probability of doing this from 3 decks in a row, we simply cube 1/4 to get 1/64, and in percentage this is ~1.56%.

7 0
3 years ago
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