# Quadrilateral Practice Test, I’ll give brainliest to the correct answer with explanation

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

## Related Questions

Find (f o g)(2) and (f+g)(2) when f(x)=1/x and g(x)=4x+9

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

if L, M, and N are collinear with M BETWEEN L and N, MN = 5, and LN = 18, then what is the length LM?

Step-by-step explanation:

Given

Required

Since, M is between LN, we have:

Substitute values for MN and LN

Make LM the subject

A_n=a_n+6 where a_1=11 find the first five terms of each sequence

a1 = 11

a2 = a1 +6=11+6 = 17

a3= a2 +6=17+6= 23

a4= a3+6= 23+6= 29

a5= a4+6= 35

If A= B and AB= 3x-5 BC= 5x-6 and AC = 2x-9 find the value of X

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

### What is equation?

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

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Hiran invests 20 000 rupees in an account for 3 years at 1.5% per year compound interest.Work out the total amount of money in the account at the end of 3 years.

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.

### Explanation:

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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Are the arcs below congruent?B
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