All categories

3 years ago

Help plz geometry !!!!

Mathematics

1 answer:

VLD [36.1K]3 years ago

5 0

Answer:

27 ) x = 15°,

28 ) x = 18°

Step-by-step explanation:

27 ) We are given angle measures of 85 degrees, consecutively 6x + 5, each forming a linear pair;

85 + ( 6x + 5 ) = 180 ⇒ by definition of linear pair we have two measures of angles that add to 180°,

85 + ( 6x + 5 ) = 180 ⇒ take out ( ),

85 + 6x + 5 = 180 ⇒ combine like terms,

90 + 6x = 180 ⇒ subtract 90 from either side of equation,

6x = 90 ⇒ divide 6 on either side of equation,

Solution; x = 15°

28 ) We are given angle measures of 110 degrees, consecutively 3x + 16, each forming a linear pair;

110 + ( 3x + 16 ) = 180 ⇒ by definition of linear pair we have two measures of angles that add to 180°,

110 + ( 3x + 16 ) = 180 ⇒ take out ( ),

110 + 3x + 16 = 180 ⇒ combine like terms,

126 + 3x = 180 ⇒ subtract 126 from either side of equation,

3x = 54 ⇒ divide 6 on either side of equation,

Solution; x = 18°

You might be interested in

The scatter plot below shows the relationship between two variables, x and y. Which kind best fits the data?

almond37 [142]

Answer:

The last one on the bottom right

Step-by-step explanation:

When we are trying to fit a line for a number of points, we can fix this line at several points on the graph. However, out of the several lines that we can fit, only one of these lines would work perfectly and it is called the line of best fit.

The reason why it is called the line of best fit is that it is drawn in a manner in which it leaves equal number of points above it as below it.

Supposed we have 15 points for our graph with the line of the slope passing thorough 5, the line of best fit in this case would leave 5 points above and another 5 below the line.

Leaving 6 and 4 is also manageable, but in case where 3 and 7 are left above and below the line, then it becomes a problem

Thus, out of all the representations we have, the one on the bottom right best works

8 0

4 years ago

Which number is a factor of 15 but not a multiple of three

sashaice [31]

5 would be an answer.

3 0

4 years ago

Read 2 more answers

A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30 What score is necessary to reach

nlexa [21]

Answer:

A score of 150.25 is necessary to reach the 75th percentile.

Step-by-step explanation:

Problems of normal distributions can be 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.

A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30.

This means that $\mu = 130, \sigma = 30$