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Nataly [62]
3 years ago
9

Please help! If the two triangles are similar, which equation represents the value of side x?

Mathematics
1 answer:
madam [21]3 years ago
5 0

x=\frac{p q}{m} equation represents the value of side x.

Solution:

The two triangles are similar.

<em>If two triangles are similar, then the corresponding sides are in proportional.</em>

$\Rightarrow \frac{m}{p} =\frac{q}{x}

Do cross multiplication.

$\Rightarrow mx=pq

Divide by m on both sides.

$\Rightarrow \frac{mx}{m} =\frac{pq}{m}

$\Rightarrow x =\frac{pq}{m}

Therefore, x=\frac{p q}{m} equation represents the value of side x.

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Need help asap please!!<br> This is the only one i don’t know i’m stuck!
lyudmila [28]

Answer:

Reminder that is this form  a(b)^x  where  a > 0

When   b > 0  but < 1 that is a decay function

When   b > 1 than its a growth function

Step-by-step explanation:

So following this you can figure out the answer

g(x)=0.3(x)      

this is neither since there is no exponent (linear)

H=72(56)^t    

this is growth since b  = 56

A=(43)^t        

this is growth since b  = 43 ("a" is understood as "1")

H=5.9(0.82)^t      

this is decay since b =  0.82

y=0.8(3.6)^t      

this is growth since b = 3.6

f(t)=0.72(15)^t    

this is growth since b  = 14  

A=49(8)^t      

this is growth since b  = 8

6 0
3 years ago
Inessa ran 3 laps in 8 minutes. How long would it take her to run 10 laps at this pace? (This is proportions)
Degger [83]

Answer:

26.6 minutes

Step-by-step explanation:

Set up a proportion

3/8 = 10/x

cross multiply

3x = 80

x = 26.6

5 0
3 years ago
Machine A produces bolts at a uniform rate of 120 every 40 seconds, and Machine B produces bolts at a uniform rate of 100 every
Nutka1998 [239]

Answer:

25 seconds

Step-by-step explanation:

Hi there!

In order to answer this question, first we need to know how many bolts per second are produced by each machine, this can be known by dividing the number of bolts by the time it takes.

For machine A:

A = \frac{120 bolts}{40 s}= 3 \frac{bolts}{s}

For machine B:

B = \frac{100 bolts}{20 s}= 5 \frac{bolts}{s}

So, if the two machines run simultaneously, we will have a rate of prodcution of bolts equal to the sum of both:

A+B=(3+5)\frac{bolts}{s}=8\frac{bolts}{s}

Now, we need to know how much time it will take to producee 200 bolts, to find this out we need to divide the amount of bolts by the production rate:

t = \frac{bolts}{ProductionRate}= \frac{200 bolts}{8 \frac{bolts}{s} }

The <em>bolts</em> unit cancell each other and we are left with <em>seconds</em>

t = \frac{200}{8} s = 25 s

So it will take 25 seconds to produce 200 bolts with machine A and B running simultaneously.

Greetings!

4 0
3 years ago
Read 2 more answers
A rectangular board is 1300 millimeters long and 800 millimeters wide. What is the area of the board in square meters?
hichkok12 [17]

Multiply 1300 mm by 800 mm to get 1040000 mm. Then convert this to meters. 1 meter=1000 mm. Therefore, 1040000 mm is the same as 1040 meters.

3 0
3 years ago
Isaiah is saving 12$ per week from his allowance. after 20 weeks, Isaiah has 240$
dsp73

Answer: He saved $12 per week

Step-by-step explanation:

I am confused you basically solved your own question but here is the explanation.

Isaiah gets $12 per week in his allowance, every two weeks he gets $24, so in twenty weeks he would have save $240. Here is an equation.

2W*10 = $240

W = weeks

2 weeks = $24*10 = $240

I hope this helps in anyway

7 0
3 years ago
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