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3 years ago

What is the value of x?

Mathematics

1 answer:

Andrei [34K]3 years ago

6 0

Answer:

x=2

Step-by-step explanation:

We will use the secant-secant Formula:

(whole secant) x (external part) = (whole secant) x (external part)

(1+x+4) * (x+4) = (11+x+1) * (x+1)

Combine like terms

(x+5) (x+4) = (x+12) (x+1)

FOIL

x^2 + 4x+5x + 20 = x^2 + x+ 12x + 12

Combine like terms

x^2 + 9 x + 20 = x^2 + 13 x + 12

Bring everything to the left

x^2 + 9 x + 20- (x^2 + 13 x + 12) = x^2 + 13 x + 12-( x^2 + 13 x + 12)

x^2 + 9 x + 20- (x^2 + 13 x + 12) =0

Distribute the minus sign

x^2 + 9 x + 20- x^2 - 13 x - 12 =0

Combine like terms

-4x +8 = 0

Subtract 8 from each side

-4x+8-8=0-8

-4x=-8

Divide each side by -4

-4x/-4 = -8/-4

x=2

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How to find area of circle

Bad White [126]

Answer:

A=πr2

Step-by-step explanation:

area = pie * radius (to the power of 2)

pie = 3.14

radius = middle point till the line of the circle

8 0

3 years ago

Read 2 more answers

HELP PLEASE!!!!

Anestetic [448]

To find her take home pay, you subtract her deductions from her gross pay and then divide her take-home pay by her gross pay and then multiply by 100%.
So,
Take-home pay = 2644-548.30=2095.70 Percent = (2095.70/2644)*100%=79.262%
So your answer is B)79%
Hope this helps :)
If you need anymore help with questions then feel free to ask me :D

4 0

3 years ago

A man sold a fan for Rs. 400. Find the cost price if he incurred a loss of 15%.

statuscvo [17]

Answer:

Cost price of the fan is $\text {Rs. 470.59}$ .

Step-by-step explanation:

Given: A man sold a fan for $\text{Rs.}\:400$ . He incurred a loss of $15\%$ .

To find: The cost price of the fan

Solution:

We have,

Selling price, S.P., of the fan $= \text{Rs.} 400$

Loss $=15\%$

We know that $\text {Loss\%}=\frac{\text{C.P.-S.P.}}{\text{C.P.}}\times100\%$

Now let the C.P. of the fan be $\text{Rs.} \:x$

So, $15=(\frac{x-400}{x})\times 100$

$\implies 15x=100x-40000$

$\implies 100x-15x=40000$

$\implies 85x=40000$

$\implies x=\frac{40000}{85}$

$\implies x= 470.59$

Hence, the cost price of the fan is $\text {Rs. 470.59}$ .

7 0

3 years ago

What is the area of this triangle?

ki77a [65]

Answer:

The area of this triangle is.. $30 in^2$

Step-by-step explanation:

6 x 10 divided by 2 = 30

3 0

3 years ago

Read 2 more answers

Please help thanks :)

kykrilka [37]

Question 1:

Multiply both sides of the proportion by 35.

You get.

7(x-1) = 4x+2

7x-7 = 4x+2

Now, add both sides by 7 and subtract both sides by 4x

3x = 9

Divide both sides by 3

x=3

Question 2:

Multiply both the numerator and the denominator of $\frac{x+1}{x+3}$ by 3.

We want to multiply it by 3 so that the +1 and +3 become +3 and +9. +3 and +9 have a difference of 6, just like 15 and 21, which is what we want.

$\frac{3x+3}{3x+9} = \frac{15}{21}$

Set the numerator equal to the numerator and the denominator equal to the denominator.

3x+3 = 15

3x+9 = 21

If you solve both of these, you get x=4 for both.

That's your answer.

Hope this helps! :)

8 0

3 years ago