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Degger [83]
3 years ago
12

What is the value of X A 21 B 41 C 20 D 22

Mathematics
1 answer:
White raven [17]3 years ago
7 0

Answer:

22

Step-by-step explanation:

Let the bottom be y for the small triangle

So the total length of the bottom is 2y

We can use ratios to solve

x-1       1y

----- = --------

42          2y

Canceling the y's

x-1       1

----- = --------

42          2

Using cross products

2(x-1) = 42

Divide by 2

x-1 = 21

Add 1 to each side

x-1+1=21+1

x = 22

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Jane multiplies her number by three and subtracts 2.
katrin [286]

Answer:

Let the number they chose be 'x'.

Result of Jane = 3x -2

Result of Elliot = 2x+3

Given that,

The product of their result = 110

or, (3x-2)(2x+3) = 110\\or, 6x^{2} +9x-4x-6 = 110\\or, 6x^{2} +5x - 6 = 110\\or, 6x^{2} +5x - 6-110 = 0\\\\or, 6x^{2} +5x - 116 = 0\\or, 6x^{2} +29x - 24x - 116 = 0\\or, x (6x +29) -4(6x+29) = 0\\or, (x-4)(6x+29) = 0\\i.e. x=4 or x=\frac{-29}{6} \\So,~ the ~number ~they~ chose~was ~either ~4 ~or ~\frac{-29}{6}

3 0
2 years ago
The perimeter of a rectangle is 54 feet. The area of the rectangle is 176 square feet. Find the dimensions of the rectangle.
Murrr4er [49]

11 by 16

Explanation:

Set up two equations

2

x

+

2

y

=

54

x

×

y

=

176

Solving the first equation for x

2

x

+

2

y

−

2

y

=

54

−

2

y

this gives

2

x

=

54

−

2

y

Divide both sides by 2

(

2

x

2

)

=

54

−

2

y

2

This gives.

x

=

27

−

y

putting this value into the second equation gives.

(

27

−

y

)

×

y

=

176

multiplying across the parenthesis gives

27

y

−

y

2

=

176

subtracting 176 from both sides gives

is

27

y

−

y

2

−

176

=

0

multiplying by negative one gives

−

27

y

+

y

2

+

176

=

0

factoring this into y gives

(

y

−

11

)

×

(

y

−

16

)

=

0

Solving for both y's gives

y

=

11

,

y

=

16

6 0
2 years ago
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Vikki [24]

Answer: $7


Step-by-step explanation:


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Step-by-step explanation:

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The answer for this is D.
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