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2 years ago

Find the value of x.

Mathematics

1 answer:

koban [17]2 years ago

8 0

Answer:

x = 110°

Step-by-step explanation:

The Outside Angle Theorem states that the measure of the angle formed by two secants or a secant and tangent from a point outside of a circle is half the difference between the two arcs.

This means that ½ (210 – x) = 50.

½ ( 210 – x ) × 2 = 50 × 2

210 – x = 100.

210 – x + x = 100 + x.

210 = 100 + x.

100 + x = 210.

100 + x – 100 = 210 – 100.

x = 110.

This value must be true because:

½ ( 210 – 110 ) = 50.

½ ( 100 ) = 50.

50 = 50.

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If a car goes around a turn too quickly, it can leave tracks that form an arc of a circle. By finding the radius of the circle,

Slav-nsk [51]

Answer:

155.7

Step-by-step explanation:

Use what you know.

Segment AC is 130 ft

Segment CD is 70ft

If you use the Pythagorean Theorem, in this case being = +

To find segment CE, you would do r-70

So, = +

= 16,900 + -140r + 4900

Add the -140r to the left side and then get rid of the two . Then Add 16,900 and 4900 together

You'll end up with 140r = 21,800

Divide 140 on each side.

Your final answer will be 155.7 (rounded to the nearest tenth)

6 0

2 years ago

g In the sample of 134 South Korean tourists, 57 of them were satisfied with their Jeju experience. In the sample of 150 other c

nasty-shy [4]

Answer:

The test statistic = -0.93

Step-by-step explanation:

The test statistic is given by the formula

z = (X₁ - X₂) ÷ √(σₓ₁² + σₓ₂²)

where X₁ = proportion of data of South Korean tourists = (57/134) = 0.425

X₂ = proportion of other country tourists = (72/150) = 0.48

σₓ₁ = standard error in data 1 = √[p(1-p)/n]

= √(0.425 × 0.575/134) = 0.0427

σₓ₂ = standard error in data 2 = √[p(1-p)/n]

= √(0.48 × 0.52/150) = 0.0408

z = (X₁ - X₂) ÷ √(σₓ₁² + σₓ₂²)

z = (0.425 - 0.48) ÷ √(0.0427² + 0.0408²)

z = -0.055 ÷ 0.0590586996

z = -0.9313

Hope this Helps!!!

6 0

3 years ago

Drag and drop each verbal phrase next to the algebraic expression that models it.

Aleksandr-060686 [28]

Answer: first one is : the base salary of an employee and a 9% salary increase; second one is : the price of a winter coat and a 90% discount ; third one is : the number of students attending school last year and a 90% increase from last year ; fourth one is : the cost of groceries and a 9% discount with coupons

Step-by-step explanation:

6 0

3 years ago

Find the geometric mean between 18 and 7. Write your answer in radical form.

USPshnik [31]

Answer:

option D is correct answer

6 0

2 years ago

Last week, Matt spent twice as much on bus fare as he did on lunch, and 3 dollars less on entertainment than he did on bus fare.

3241004551 [841]

Answer:

The expression in term of x

The amount of money spent on bus fare = $2 x

The amount of money spent on entertainment = $(2 x - 3)

Step-by-step explanation:

Given statement as :

Matt spent twice as much on bus fare as he did on lunch

Matt spent $3 less on entertainment than on bus fare

Let The Amount of money spend on lunch = $x

<u>Now, According to question</u>

The amount of money spent on bus fare = twice as he spent on lunch

i.e The amount of money spent on bus fare = 2 × $x

∴ The amount of money spent on bus fare = $2 x

<u>Again</u>

The amount of money spent on entertainment = The amount on bus fare - $3

I.e The amount of money spent on entertainment = $2 x - $3

∴The amount of money spent on entertainment = $(2 x - 3)

Hence, The expression in term of x

The amount of money spent on bus fare = $2 x

The amount of money spent on entertainment = $(2 x - 3)

Answer

5 0

3 years ago