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2 years ago

Solve for X A. 2.25 B. 19 C. 12 D. 22

Mathematics

1 answer:

Vilka [71]2 years ago

4 0

Answer:

Step-by-step explanation:

Tangent Chord Angle = 1/2 Intercepted Arc

67 = 1/2 ( 4x+58)

Distribute

67 = 2x+29

Subtract 29 from each side

67-29 = 2x+29-29

38 = 2x

Divide by 2

38/2 = 2x/2

19 =x

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Express the product in simplest form.

Dmitry [639]

The product in simplest form is (x - 4)

Solution:

Given expression is:

$\frac{8}{2x+8} \times \frac{x^2-16}{4}$

We have to find the product in simplest form

In the given expression,

2x + 8 = 2(x+ 4)

We know that,

$a^2-b^2=(a+b)(a-b)$

Therefore,

$x^2-16 = x^2-4^2 =(x+4)(x-4)$

Substitute these in given expression

$\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4}$

Cancel the common factors,

$\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4} = x - 4$

Thus the product in simplest form is (x - 4)

8 0

2 years ago

How many centimeters are in 10 feet given that 1 inch = 2.54 cm

lions [1.4K]

304.8 centimeters is the answer to this question.

7 0

2 years ago

Please help they are separate questions please help me with this!

monitta

Answer: Mary makes $1160, Steven makes $142.50

Step-by-step explanation:

Facts

MARY

8% commision on everything she sells

She sells a car for $14,500

The first question about Mary asks how much commision she makes. To find that, lets find 8% of 14,500

8% of 14,500= 0.08x14,500= 1160

Therefore, Mary makes $1,160 in commision.

STEVEN

Facts

He makes 15% in commision for the supplies he sells

He sells $950 in supplies

Money made =?

15% of 950=0.15x950=$142.50

6 0

2 years ago

Can somebody match these for me .

Harlamova29_29 [7]

From left to right - (-2,6) (4,1) (-2,5) top (1,-3) bottom (-4,-1) (2,-5)

8 0

3 years ago

Giovanni purchased 25tickets to an airshow. the cost of an adult's ticket is $14 and the child's ticket is $8. if the total cost

Masteriza [31]

Giovanni purchased 20 adult tickets and 5 child's tickets.

Step-by-step explanation:

Let,

x = Adult tickets

y = Child's tickets

According to given statement;

x+y=25 Eqn 1

One adult ticket costs $14 and one child ticket costs $8, therefore,

14x+8y=320 Eqn 2

$Multiplying\ Eqn\ 1\ by\ 8\\8(x+y=25)\\8x+8y=200\ Eqn\ 3\\Subtracting\ Eqn\ 3\ from\ Eqn\ 2\\(14x+8y)-(8x+8y)=320-200\\14x+8y-8x-8y=120\\6x=120\\Dividing\ both\ sides\ by\ 6\\\frac{6x}{6}=\frac{120}{6}\\x=20$

Putting value of x in Eqn 1;

$20+y=25\\y=25-20\\y=5$

Giovanni purchased 20 adult tickets and 5 child's tickets.

Keywords: Linear equations, Addition

Learn more about linear equations at:

#LearnwithBrainly

6 0

3 years ago