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horsena [70]
1 year ago
6

PLEASE HELP AND GIVE A FULL EXPLANATION I WILL GIVE BRAINLEST PLEASE SOMEONE

Mathematics
1 answer:
krek1111 [17]1 year ago
3 0

Answer:

shown in explanation

Step-by-step explanation:

a) ∆EPB similar to ∆ERG

b) angle BEP = angle GER (common angle shared)

angle EPB = angle ERG (corresponding angles, PB//RG, parallelogram)

therefore through Angle-Angle similarity test, ∆EPB is similar to ∆ERG

or explanation can also be shortened to

∆EPB is similar to ∆ERG (AA, similarity)

c) since proven they are similar ∆, then we can proceed to use property of ratio of corresponding sides being equal

\frac{pb}{rg}  =  \frac{ep}{er}

RG = 200+300=500m

\frac{200}{500}  =  \frac{ep}{ep + 350}

cross multiply (from what I've learnt)

2ep+700=5ep

ep= 700/3 = 233 ⅓m (answer for length EP)

Do the same for length BE(using ratio of corresponding sides)

\frac{be}{ge}  =  \frac{pb}{rg}

\frac{be}{be + 400}  =  \frac{200}{500}

cross multiply again to get:

5BE = 2BE + 800

BE = 800/3 = 266 ⅔ m (answer for length BE)

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notka56 [123]

The perimeter will scale linearly with the sides, so

p = \dfrac{4.8}{8} (3) = 18 \textrm{m}

Third choice.

8 0
3 years ago
Researchers capture and mark 43 squirrels in a park. The next week, researchers capture 50 squirrels and 38 of them are marked f
Vlada [557]

The question is an illustration of sample and population, and the estimate of the population of squirrel in the park is 55

<h3>How to determine the population of squirrel?</h3>

The given parameters are:

Marked squirrels = 43

Captured squirrels = 50

Of the 50 captured squirrels, 38 are from the marked squirrels.

This means that the number of unmarked squirrels is:

Unmarked = 50 - 38

Evaluate

Unmarked = 12

The population of the squirrel is then calculated using:

Population = Marked + Unmarked

So, we have:

Population = 43 + 12

Evaluate the sum

Population = 55

Hence, the estimate of the population of squirrel in the park is 55

Read more about population at:

brainly.com/question/7301139

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6 0
1 year ago
johns dinner costs $52.30. Sales tax is 6.5% and he wants to leave a 20% tip for the waitress. what is the total cost for johns
Tasya [4]

Answer:

The total cost for john's meal would be $66.84

Step-by-step explanation:

6.5% of 52.30 = 3.3995

52.30 plus 3.3995 = 55.6995

20% of 55.6995 = 11.14$

55.6995 + 11.14 = $66.84

3 0
2 years ago
Which of these is equal to cos 19°?
PilotLPTM [1.2K]
Hello there.

Question: <span>Which of these is equal to cos 19°?

Answer: There aren't any options so i can only give the value for it which is 0.9455

</span>Hope This Helps You!
Good Luck Studying ^-^
4 0
2 years ago
Can someone help me!!!!!!!!!!!
ipn [44]

Answer:

18 ounces

Step-by-step explanation:

2 x 8 = 16 1/4 x 8 = 8/4 or 2

8 0
3 years ago
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