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Stolb23 [73]
3 years ago
12

The triangles are similar, what is the value of x?

Mathematics
1 answer:
devlian [24]3 years ago
4 0
Since the triangles are similar, we can use ratios to find what x equals. 

Ratios:
3x+8/4 = 25/5

The easiest way to solve ratios, in my opinion is to cross multiply. 

3x+8*5 = 4*25. Simplify to get 15x + 40 = 100.

Subtract 40 on both sides. 15x = 60.

Divide 15 on both sides. x = 4.
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podryga [215]

Answer:

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\frac{tan~x+1}{tan~x-1}

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\frac{tan~x+tan~45}{tan~x-tan~45}

  • Next, you want to multiply the numerator and denominator by the conjugate of the denominator, in this case, <em>tan x + tan 45.</em>
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3 0
2 years ago
Michael is paid $9 per hour to work at the movie theater and $7 per hour when he helps his aunt at her bakery. Michael cannot wo
KIM [24]

Answer:

The first one/$9 an hour job.

Step-by-step explanation:

For every 32 hours he works at the $9 per hour job he makes $288.

On the other hand, for every 32 hours he works at the $7 per hour job he only makes $224.

So the only one that'll work where he gets at least $251 is the $9 an hour job.

<u>Hope this helps and have a nice day!</u>

6 0
3 years ago
Write the equation of the circle centered at ( 4 , − 5 ) with radius 18.
Free_Kalibri [48]

Answer:

(x-4)^2 + (y+5)^2 = 324

Step-by-step explanation:

The equation of a circle is given by the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center point of the circle.

Therefore, since the center point of the circle and the radius is given, we can just plug the numbers into the formula:

(x-4)^2 + (y+5)^2 = 18^2

<u>(x-4)^2 + (y+5)^2 = 324</u>

3 0
3 years ago
HHHH HHHT HTHH HHTT HHTH HTHT HTTH HTTT TTTT TTTH THTT TTHH TTHT THTH THHT THHH What is the probability that at least three coin
faust18 [17]

Answer:

5/16

Step-by-step explanation:

As you can see in the 16 given possible outcomes, in 5 of them at least 3 coins land facing up. Since there are 16 outcomes in total, the probability that at least three coins land facing up is 5/16. Hope this helps!

6 0
2 years ago
Roland’s Boat Tours sells deluxe and economy seats for each tour it conducts. In order to complete a tour, at least 1 economy se
vovangra [49]

Roland’s Boat Tours will make more money if they sell more economy seats, hence the maximum profit is attained if they only sell the minimum deluxe seat which is 6

6*35+ 24*40 = 210+960= $1170

<em />

Given details

To make a complete tour, at least 1 economy seats

and 6 deluxe seats

Maximum passengers per tour = 30

<em />

<em>"Boat Tours makes $40 profit for each </em><em>economy</em><em> seat sold and $35 profit for each deluxe seat sold"</em>

<em> </em>Therefore, to maximise profit, he needs to take more of economy seats

Hence

Let a deluxe seat be x and economy seat be y

Maximise

6 x+ 24y = 30

The maximum profit from one tour is  = 6*35+ 24*40 = 210+960= $1170

Learn more

brainly.com/question/25828237

<em />

7 0
2 years ago
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