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3 years ago

The triangles shown are similar. What is the value of x?

Mathematics

2 answers:

Pavlova-9 [17]3 years ago

6 0

Answer:

x = 10

Step-by-step explanation:

The bigger triangle is 2 times larger than the smaller triangle meaning all of the value of the smaller triangle are 2 times smaller than the bigger triangle and the bigger triangle is 2 times larger than the smaller triangle

vredina [299]3 years ago

4 0

Answer:

x = 10

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{x}{5}$ = $\frac{6}{3}$ = 2 ( multiply both sides by 5 )

x = 10

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A guard in a 20m tall watchtower spots a vehicle at an angle of depression oi 25

victus00 [196]

Answer:

Solution given:

height[p]=20m

angle of depression [a]=25°

base[b]=?

we have

Tan a=p/b

tan 25=20/b

b=20/tan25

b=42.89 or 43

the tower is 43m far from the vehicle .

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3 years ago

The value of a car depreciates every year at a constant rate. Gary bought a car for $25,000 in the year 2013. If the value of th

Virty [35]

In 2017 the car would be worth $10,000 after deprecating by 15% annually
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5 0

3 years ago

Read 2 more answers

2.2

Ludmilka [50]

Answer:

R180

Step-by-step explanation:

Adjusted income = (original pocket money x new ratio) / old ratio

( 6 x $150) / 5 = $180

4 0

3 years ago

A mouse is traveling at a rate of 100 feet per hour. One half hour later, a snake smells the

Arlecino [84]

Let, snake catches the mouse in t hours. Till then mouse is travelling from

( t + 1.5 ) hours.

Distance, travelled by mouse in t hours is, $d = 100(t+ 1.5)$ .

To catch the mouse snake had to travel the same distance d in t hours.

So,

$200t = 100( t + 1.5 )\\\\2t = t + 1.5\\\\t = 1.5 \ hours$

Therefore, snake will catch mouse in 1.5 hours.

5 0

3 years ago

A marble is randomly selected from a bag. The probability of selecting a marble with dots on it is 0.2. The probability of selec

marin [14]

Answer:

0.5

Step-by-step explanation:

Let D be the event of selecting a marble with dots.

Let P be the event of selecting a purple marble.

The probability of selecting a marble with dots, P(D)=0.2

The probability of selecting a marble that is both purple and has dots, $P(D \cap P)=0.1$

We want to determine the probability of selecting a purple marble given that the marble has dots on it, P(P|D)

By the definition of conditional probability:

$P(P|D)= \dfrac{P(P \cap D)}{P(D)} \\= \dfrac{0.1}{0.2}\\ =0.5$

The probability of selecting a purple marble given that the marble has dots on it is 0.5.

4 0

3 years ago