All categories

3 years ago

Given a ∆ with exterior angles (55x)°, (40x)°, (85x)°

Mathematics

1 answer:

choli [55]3 years ago

3 0

Answer:

Part A : 170

Part B: 10

Step-by-step explanation:

In any convex polygon, the exterior angles add to 360 degrees.

55x + 40x + 85x = 360 Combine the left side

180x = 360 Divide by 180

180x/180 = 360/180

x = 2

Part A

The largest exterior angle is going to be 85x = 85*2 = 170 degrees.

Part B

The exterior and interior angles are supplementary. That is they add up to 180 degrees.

The smallest one is going to be with the 85x angle. That angle eats up a lot of real estate.

Let y = the interior angle. Set up the equation

85x + y = 180 Solve for 85x

170 + y = 180 Subtract 170 from both sides

170 - 170 + y = 180 - 170

y = 10 degrees

You might be interested in

The shapes show that there are 4 squares for every

Elenna [48]

Answer:

dats alot there shortie, anyways...how you doing and if you answer this...i have sum you might like to hear

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Please help me find the slope of the line !!

LenaWriter [7]

The slope of the line is 3/2. That would be letter B. You take two points from the graph and subtract them from each other to find the slope. Hope this helps!

3 0

3 years ago

A forester studying the effects of fertilization on certain pine forests in the Southeast is interested in estimating the averag

ahrayia [7]

Answer:

$P(-2 \leq \bar X -\mu \leq 2)$

If we divide both sides by $\frac{\sigma}{\sqrt{n}}$ we got:

$P(\frac{-2}{\frac{4}{\sqrt{9}}}\leq Z \leq \frac{2}{\frac{4}{\sqrt{9}}})$

And we can use the normal distribution table or excel to find the probabilites and we got:

$P(-1.5 \leq Z \leq 1.5)= P(Z$ Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the area of a population, and for this case we know the distribution for X is given by:

$X \sim N(M,4)$