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3 years ago

What is the value of x? Enter your answer in the box. x= __

Mathematics

1 answer:

RoseWind [281]3 years ago

8 0

Answer:

x =20

Step-by-step explanation:

We can use similar triangles and proportions to solve. Take the smaller triangle side on top and the larger triangle side on the bottom.

11 10

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

11+121 10 +5x+10

Combine like terms

11 10

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

132 5x+20

Using cross products

11*(5x+20) = 10*132

55x+220 = 1320

Subtract 220 from each side

55x+220-220 = 1320-220

55x = 1100

Divide by 55

55x/55= 1100/55

x =20

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Answer:

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Hope This Helped

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2 years ago

the width of a rectangle is y feet long. the rectangle is 4 feet longer than it is wide l. what is arena of the rectangle?

ahrayia [7]

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3 years ago

Solve the following quadratic equations by any method. The solutions are:

Nataly_w [17]

Answer:

Option C .

Step-by-step explanation:

We would like to solve the below quadratic equation ,

$\longrightarrow f(x) = x^2-12x +32$

Step 1 : Equate f(x) with 0 :-

$\longrightarrow f(x) = 0\\$

$\longrightarrow x^2-12x + 32=0$

Step 2 : Factorise the RHS :-

$\longrightarrow x^2-8x - 4x +32=0\\$

$\longrightarrow x(x-8)-4(x-8)=0\\$

$\longrightarrow (x-8)(x-4)=0\\$

Step 3 : Equate each factor with 0 :-

$\longrightarrow x - 8 = 0\\ \qquad x -4=0$

$\longrightarrow x = 8 \qquad x = 4$

$\longrightarrow \underline{\underline{\boldsymbol{ x = 8,4}}}$

Hence option C is correct .

8 0

1 year ago

(x^4)^3=(x^3)^4 true or false

telo118 [61]

Step-by-step explanation:

(x^4)^3=(x^3)^4 , true

=> x^(4×3) = x^(3×4) = x^12

13^4 x 13^7= (13^4)^7, false

13^(4+7) = 13^11

(13^4)^7 = 13^(4×7) = 13^28

y^5 x y^0/y^3=(y^2)^1 , true

y^5 x y^0/y^3 = y^(5+0-3) = y^2

(y^2)^1 = y^(2×1) = y^2

q^0 x q^5/q^2=(q^3)^2/q^3, true

q^0 x q^5/q^2= q^(0+5-2)= q^3

(q^3)^2/q^3 = q^(3×2-3) = q^3

6 0

2 years ago

Read 2 more answers

What eqauls to 31.25

RSB [31]

125 = 5^3 = 25 * 5

$4 \cdot \sqrt{125} = 4 \sqrt{25 \cdot 5} = 4 \cdot 5 \sqrt{5} = 20\sqrt{5}$

The simplification you are trying to do involves finding the prime factorization of a number. Since 125 is not divisible by 2, move on to 3. 125 is also not divisible by 3, so move on to 5. Then 125/5 = 25, and 25/5 = 5, so 125 = 5^3. The prime factorization of 125 is 5^3.

5 0

2 years ago

Read 2 more answers