In the first quadrant, you start at (8, 11)

Parallel Lines Cut by a Transversal: Maze

CaHeK987 [17]

Start from Start Here square, the pointer to the next question to resolve is given by the solution to the equation in the current square

The values of the Maze are as follows;

x = 10
x = 8
x = -9
x = 5
x = 11
x = 3
x = -5
x = 9
x = 7
x = -7

Reason:

The solutions are;

10·x + 15 = 12·x - 5 by alternate interior angles theorem

∴ x = 10

6·x + 6 = 5·x + 14 by alternate exterior angles theorem

∴ x = 8

x + 109 = 100 by corresponding angles theorem

∴ x = -9

11·x + 5 + 120° = 180° by same side interior angles theorem

∴ x = 5

11·x - 1 = 10·x + 10 by corresponding angles theorem

∴ x = 11

35·x + 5 = 110 by corresponding angles theorem

∴ x = 3

x + 85 + x + 105 = 180 by same side interior angles theorem

∴ x = -5

7·x - 3 + 12·x + 12 = 180° by same side interior angles theorem

∴ x = 9

19·x - 3 = 130 by alternate interior angles theorem

∴ x = 7

x + 67 = 60 by alternate interior angles theorem

x = -7

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in 2005 there were 9million bicycles in Beijing, correct to the nearest million.the average distance travelled by each bicycle i

rodikova [14]

In 2005 there were 9million bicycles in Beijing

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4 years ago

Evaluate. 7^3 <br> A) 21<br> B) 49<br> C) 81<br> D) 343

Mademuasel [1]

The answer is a 73/3=21

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3 years ago

Read 2 more answers

ALGEBRA 1 ASSIGNMENT QUESTIONS

Nezavi [6.7K]

1. 81 1/2 = 163/2
2. 32 1/5 - 64 1/3 =
483/15 - 965/15 =
-482/15 or -32 2/15
3. 16 1/4 = 65/4
4. 49 1/2 + 27 1/3 =
99/2 + 82/3 =
297/6 + 164/6 =
461/6 or 76 5/6

7 0

3 years ago

The mean rent of a 3-bedroom apartment in Orlando is $1300. You randomly select 10 apartments around town. The rents are normall

lana [24]

Answer:

96.49% probability that the mean rent is more than $1100

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .