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Kryger [21]
3 years ago
15

The triangle shown MUST be a right triangle x=

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
4 0

Answer:

The answer is b) 20.

Step-by-step explanation:

Pythagorean theorem: a²+b²=c²

Substitution: 12²+16²=x²

Simplify: 400=x², x=20

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Certain items are purchased jointly. If each person pays 8 coins, the surplus is 3 coins, and if each person gives 7 coins, the
Karo-lina-s [1.5K]

Answer:

7 people purchase the items and they used 53 coins

Step-by-step explanation:

Let x represent the number of people.

Let y be the number of coins needed to purchase the items.

If each person pays 8 coins, the surplus is 3 coins. This is illustrated below:

8x = y + 3 (1)

if each person gives 7 coins, the deficiency is 4 coins. This is illustrated below:

7x = y — 4 (2)

Solving by elimination method: subtract equation(2) from equation (1). This is illustrated below:

8x = y + 3 (1)

— (7x = y — 4) (2)

x = 7.

Next, Substituting the value of x into any of the equation to obtain y. In this case I will be using equation 1 as illustrated below:

8x = y + 3 (1)

8(7) = y + 3

56 = y + 3

Collect like terms

y = 56 — 3

y = 53

Therefore, 7 people purchase the items and they used 53 coins

7 0
3 years ago
A computer that costs $1099 last year cost $999 this year. What is the percent change? Explain. (Ignore my answer)
zhuklara [117]

Answer:

5%

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
If f(x)=5x+a and f-1(10)=-1, find a
zhenek [66]

Answer:

15

Step-by-step explanation:

Given the function

f(x)=5x+a

and f^{-1} (10)=-1(f^{-1} \text{is the inverse function of f})

let f(x)=y

Substitute in f(x)

y=5x+a\\y-a=5x\\x=\frac{y-a}{5}

From the definition inverse function

if f(x)=y    ⇒   f^{-1} (y)=x

Substitute this in the above expression

f^{-1} (y)=\frac{y-a}{5}

Substitute y=10

⇒

f^{-1} (10)=\frac{10-a}{5}\\-1=\frac{10-a}{5}\\-5=10-a\\a=10+5\\a=15

Therefore a=15

4 0
3 years ago
Show that 0.27 and 3.6 are multiplicative inverse
klasskru [66]
0.27*3.6
I hope is correct
3 0
3 years ago
Read 2 more answers
((2x^2+5x-3)/(1-4x^2))/((x^3-9x)/(x^4-6x^3+9x^2))<br> FIND X
nydimaria [60]

You can't find a value of x since there is no equal sign. This is not an equation. It is just an expression, so you can't solve it for x.

6 0
3 years ago
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