Answer:

**Answer:**

120 Degrees

**Step-by-step explanation:**

Angle T and R are vertical angles meaning they are equal so combine the equations: 31x - 4 = 29x + 4, then solve using inverse operations

subtract 31x from both sides to get -4 = -2x + 4

Then subtract 4 from both sides to get -8 = -2x, now that we have isolated the variable we have to divide by -2 on both sides getting us x = 4, then plug in the four to the equation for angle R getting you 29 times 4 which equals 116 + 4 = 120

Use the following results from a test for marijuana use, which is provided by a certain drug testing company. Among 147 subjects with positive test results, there are 30 false positive results; among 157 negative results, there are 4 false negative results. If one of the test subjects is randomly selected, find the probability that the subject tested negative or did not use marijuana. (Hint: Construct a table.)a. The probability that a randomly selected subject tested negative or did not use marijuana is___________.(Do not round until the final answer. Then round to three decimal places as? needed.)b. How many subjects were included in the study? The total number of subjects in the study was___. c. How many subjects did not use marijuana? A total of ___subjects did not use marijuana.

How do you answer 8 - 1 1/6=

The ratio of the heights of two similar cylinders is 1:3. If the volume of the smaller cylinder is 67cm cubed, find the volume of the larger cylinder.

33 + 2(5+8) - (6-2)2 =

Which of the following expression are equivalent to 2x+4 select three answers?A.6xB.1/3(18x)c.1/3(6x+12)d.2/3(3x+6)e.2(x+4)f.4(1/2x+1)

How do you answer 8 - 1 1/6=

The ratio of the heights of two similar cylinders is 1:3. If the volume of the smaller cylinder is 67cm cubed, find the volume of the larger cylinder.

33 + 2(5+8) - (6-2)2 =

Which of the following expression are equivalent to 2x+4 select three answers?A.6xB.1/3(18x)c.1/3(6x+12)d.2/3(3x+6)e.2(x+4)f.4(1/2x+1)

I think the answers are:

(f o g) (2) = 1/17 and (f+g) (2)= 17.5

(f o g) (2) = 1/17 and (f+g) (2)= 17.5

**Answer:**

**Step-by-step explanation:**

**Given**

**Required**

**Since, M is between LN, we have:**

**Substitute values for MN and LN**

**Make LM the subject**

**Answer:**

a1 = 11

a2 = a1 +6=11+6 = 17

a3= a2 +6=17+6= 23

a4= a3+6= 23+6= 29

a5= a4+6= 35

**Therefore**, the **value **of x is -4 if A= B and AB= 3x-5 BC= 5x-6 and AC = 2x-9.

An **equation **is a mathematical statement that shows the equality of two expressions. It is composed of two sides, separated by an equals sign (=), indicating that the two sides are equivalent in value. An equation may contain variables, which are unknown **values **represented by letters, as well as constants, which are known values. Equations are used in many areas of mathematics and science to model and solve problems. For example, the equation y = mx + b is a linear equation that describes the **relationship **between the variables x and y in a straight line, where m is the slope of the line and b is the y-intercept. Equations can be solved by manipulating the variables and using mathematical operations to isolate the unknown value.

Here,

Since A = B, we know that AB = B². So, we can rewrite the equation AB = 3x - 5 as B² = 3x - 5.

Similarly, we can rewrite BC = 5x - 6 as B² = 5x - 6, and AC = 2x - 9 as A² - B² = (2x - 9) - (B^2).

Since we know that A = B, we can substitute B for A in the last equation to get:

B² - B² = (2x - 9) - (B²)

Simplifying this equation, we get:

0 = 2x - 9 - B²

Now we can substitute the equation B² = 3x - 5 into the above equation to get:

0 = 2x - 9 - (3x - 5)

Simplifying this equation, we get:

0 = -x - 4

Solving for x, we get:

x = -4

To know more about **equation**,

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Give your answer to the nearest rupee.

**Answer:**

There will be 20 914 rupees in the amount at the end of 3 years.

**Step-by-step explanation:**

The **amount **of rupes after t years in compound interest is given by:

In which A(0) is the initial amount and r is the interest rate, as a decimal.

**Hiran invests 20 000 rupees in an account for 3 years at 1.5% per year compound interest.**

This means that . So

**Work out the total amount of money in the account at the end of 3 years.**

This is A(3). So

Rounding to the nearest rupee.

There will be 20 914 rupees in the amount at the end of 3 years.

Hiran invested 20 000 rupees at 1.5% compound interest for 3 years. By applying the formula for compound interest, the total amount in the account at the end of 3 years would be approximately 20747 rupees.

The subject of this question is **compound interest**. The formula for calculating compound interest is A = P(1+ r/n)^(nt), where 'A' is the amount of money accumulated after n years, including interest. 'P' is the principal amount (the initial amount of money), 'r' is the annual interest rate (in decimal), 'n' is the number of times that interest is compounded per year, and 't' is the time the money is invested for in years.

In the given problem, Hiran has invested a principal amount of **20 000 rupees** for 3 years at an annual interest rate of 1.5%. So, here P=20 000, r=1.5/100=0.015 (since 1.5% = 1.5/100 = 0.015), n=1 (since it is annually), and t=3.

By substituting these values into the formula, we get A = 20 000(1+ 0.015/1)^(1*3) which results in approximately 20747 rupees. This denotes the total amount in the account at the end of 3 years.

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120°

G

1139

не

0

0

4

A. No, because the arcs do not have the same measure.

B. There is not enough information to determine.

C. Yes, because the central angles are the same.

D. Yes, because they are both minor arcs.

By

Answer:

A. No, because the arcs do not have the same measure.

Step-by-step explanation:

Two arcs can be said to be congruent when the length measure of the two arcs are the same and not necessarily the degree measure. This implies that two arcs can have the same degree measure measure but their length may not be the same.

If two arcs have the same measure in one circle, therefore we can say they are congruent or if they have the same measure in congruent circles respectively, they are congruent.

In the two circles given above, although we are not told if both circles are congruent, however, since both arcs have different degree measure, both arcs cannot be congruent.