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3 years ago

Solve for x please help with this one too

Mathematics

1 answer:

otez555 [7]3 years ago

5 0

Answer: 7

Step-by-step explanation:

Here, two chords of the circle is intersecting outside the given circle.

Thus, By the intersecting chord outside the circle theorem,

$(x+5)\times 5=10\times 6$

$(x+5)\times 5=60$

$x+5=12$

$x =12-5$

$x =7$

Hence, the value of x is 7.

You might be interested in

Factor x^2+6x-16 into the form (x+a)(x-b), what is a and b?

vfiekz [6]

Answer:

a=-8 b=2

Step-by-step explanation:

x^2+6x-16

x^2+(8-2)x-16=0

x^2+8x-2x-16=0

X(X+8)-2(X+8)=0

(X+8)(x-2)=0

Compare with (X+a)(X+b)

Where we get a=-8 b=2

8 0

3 years ago

At the soup to nuts cafeteria, larry orders two pieces of toast and a bagel, which comes out to $\$1.30$. Curly orders a bagel a

kotegsom [21]

Let us take costs of a piece of toast = $t, , one bagel cost=$b and a muffin cost=$m.

Larry

Two pieces of toast and a bagel cost = $1.30

2t+b=1.30 -------------equation(1)

Let us solve the equation(1) for t in terms of b, because we need to find one bagel cost.

Subtracting b from both sides we get

2t+b-b=1.30-b

2t= 1.30-b

Dividing by 2 on both sides.

2t/2= (1.30-b)/2

t= (1.30-b)/2

Curly

A bagel and a muffin cost = $2.50.

b + m = 2.50 -------------equation(2)

Solving equation for m in terms of b, we get

m= 2.50-b.

Moe

A piece of toast, two bagels, and three muffins cost = $6.95

t + 2b + 3m = 6.95 ......................equation(3).

Substituting t= (1.30-b)/2 and m= 2.50-b in equation (3)

(1.30-b)/2 + 2b + 3(2.50-b) = 6.95 .

Multiplying each term by 2 to get rid 2 from denominator of (1.30-b).

2*(1.30-b)/2 + 2*2b + 2*3(2.50-b) = 2*6.95

1.30-b + 4b + 6(2.50-b) = 13.90.

1.30 - b + 4b +15 - 6b = 13.90

Combining like terms

-3b +16.30 = 13.90

Subtracting 16.30 from both sides.

-3b +16.30-16.30 = 13.90-16.30.

-3b= -2.4

Dividing both sides by -3.

-3b/-3 = -2.4/-3

b = 0.8

Therefore, cost of one bagel = $0.80.

7 0

3 years ago

A man gained rs. 3000 by selling a mobile set allowing 15 % discount on the marked price the loss would be rs. 8000. Find the ma

irinina [24]

Answer:

Marked price is Rs. 53333.33 and the cost price is Rs. 42333.33.

Step-by-step explanation:

Let Rs. x and Rs. y are the cost price and marked price of the mobile set respectively.

Now, the man has a loss of Rs. 8000 after giving a 15% discount on the marked price.

Therefore, 15% of y is 8000 i.e. $8000 = \frac{y\times 15}{100}$

⇒ y = Rs. 53333.33

Now, the man gained Rs. 3000 by selling the mobile set allowing 15% discount on the marked price.

Therefore, the mobile set has the cost price = x = Rs. [(53333.33 - 8000) - 3000] = Rs. 42333.33 (Answer)

3 0

4 years ago

The quotient, of the product of 25 and an unknown number, and 45 is -65.

Vsevolod [243]

25x/45=-65
25x=2925
x=117

I wasn't sure if you wanted a solution

8 0

3 years ago

The scatter plot below shows the number of enrollments, N, in a sports club, t years after the year 2005.

givi [52]

C

I did this on my test

4 0

2 years ago

Solve for x please help with this one too​

Solve for x please help with this one too