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3 years ago

Can anyone help me understand this

Mathematics

1 answer:

bagirrra123 [75]3 years ago

5 0

Answer:

(x, y) = (2, 9)

Step-by-step explanation:

For the triangles to be congruent, the hypotenuses must be the same length:

y = x + 7

and the marked leg must be the same length in each triangle:

y -3 = 4x -2

These are two equations in two unknowns (a "system" of equations) that can be solved in any of the usual ways. Since the first equation gives an expression for y, it is convenient to substitute that into the second equation:

(x +7) -3 = 4x -2

x +4 = 4x -2 . . . . . . collect terms

x +6 = 4x . . . . . . . . .add 2

6 = 3x . . . . . . . . . . . subtract x

2 = x . . . . . . . . . . . . divide by 3

y = 2 + 7 = 9 . . . . . .substitute for x in the first equation

The values you're looking for are x = 2, y = 9.

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A pet store has 150 goldfish and betta fish altogether. The ratio of goldfish to betta fish is 2:3. How many goldfish does the p

Kipish [7]

The number of goldfish in the pet store is equal to 60 fishes.

Let the goldfish be G.

Let the betta fish be B.

Given the following data:

Total number of fishes = 150 fishes.

Ratio of G to B = 2:3

Total ratio= 2 + 3 = 5

To calculate the number of goldfish that the pet store have:

<h3>What is ratio?</h3>

Ratio can be defined as an expression that is used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

Mathematically, the number of goldfish in the pet store is given by this expression:

$G = \frac{2}{5} \times 150\\\\G=0.4 \times 150$

G = 60 fishes.

Read more on ratio here: brainly.com/question/13513438

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2 years ago

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A company has actual unit demand for four consecutive years of 100, 105, 135, and 150. The respective forecasts were 120 for all

Lubov Fominskaja [6]

Answer:

c. 20

Step-by-step explanation:

Calculation to determine Which of the following is the resulting MAD value that can be computed from this data

Using this formula

MAD= [ABS( Year 1 actual unit demand - Forecast) + ABS (Year 2 actual unit demand - Forecast) + ABS (Year 3 actual unit demand - Forecast) + ABS (Year 4 actual unit demand - Forecast)]/ Number of years

Let plug in the formula

MAD = [ABS(100 - 120) + ABS (105 - 120) + ABS (135 - 120) + ABS (150 - 120)]/4

MAD =(ABS 20) + (ABS 15) + (ABS 15) + (ABS 30)/4

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3 years ago

Mario invests 1,500 in a savings account that earns 2% interest a year. He also plans to set aside $50 cash a month. A:2100(1.02

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Answer:

1500(1.02)^x + 600x is how much he has in savings at the end of x years where it be in the bank or elsewhere

Step-by-step explanation:

x is in years

Let's just think about the investment of 1500 in an account earning 2% per year.

Before the years even start, you are at 1500 ( present value).

The next year (year 1), it would be 1500*.02+1500=(1500)(1.02).

The next year (year 2), it would be 1500(1.02)(.02)+1500(1.02)=1500(1.02)(1.02).

We keep multiplying factors of (1.02) each time.

So for year x, you would have saved 1500(1.02)^x.

Now we are saving 50 cash per month. Per year this would be 12(50) since there are 12 months in a year. 12(50)=600.

So the first year you would have 600.

The second year you would have 600(2) or 1200.

The third year you would have 600(3) or 1800.

Let's put this together:

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4 years ago

Think carefully about the angle relationship the following represents.

lisov135 [29]

Answer:

See below ↓↓↓

Step-by-step explanation:

Subquestion #1

These angles form a linear pair
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Subquestion #2

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35 + 4x + 7 = 90
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Subquestion #3

As in #1, they are a linear pair, and are supplementary
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