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4 years ago

A triangle has two angles measuring 90 and 50, calculate the third angle of the triangle.

Mathematics

2 answers:

Pachacha [2.7K]4 years ago

4 0

Answer:

Option (b) is correct.

The measure of third angle of the triangle is 40°

Step-by-step explanation:

Given : Measure of two angles of a triangle as 90° and 50°

We have to find the measure of the third angle of the triangle.

ANGLE SUM PROPERTY OF A TRIANGLE states that the sum of angles of a triangle is always 180°

Let for the given triangle ABC,

With m∠A = 90° and m∠B = 50°

Then according to angle sum property stated above,

∠A + ∠B + ∠C = 180°

90° + 50° + ∠C = 180°

140° + ∠C = 180°

∠C = 180° - 140°

Simplify, we get,

∠C = 40°

Thus, the measure of third angle of the triangle is 40°

matrenka [14]4 years ago

3 0

Since the sum of angle within a triangle must always be equal to 180° we can say:

α=180-90-50

α=40°

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Suppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company claims that the percentage of

zhannawk [14.2K]

Answer:

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

Step-by-step explanation:

The candy company claims that the percentage of blue candies is equal to 29%.

This means that the null hypothesis is:

$H_{0}: p = 0.29$

We want to test the hypothesis that this is true, so the alternate hypothesis is:

$H_{a}: p \neq 0.29$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.29 is tested at the null hypothesis:

This means that $\mu = 0.29, \sigma = \sqrt{0.29*0.71}$

Suppose that in a random selection of 100 colored candies, 21% of them are blue.

This means that $n = 100, X = 0.21$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.21 - 0.29}{\frac{\sqrt{0.29*0.71}}{\sqrt{100}}}$

$z = -1.76$

Pvalue of the test:

The pvalue of the test is the probability of the sample proportion differing at least 0.21 - 0.29 = 0.08 from the population proportion, which is 2 multiplied by the pvalue of Z = -1.76.

Looking at the z-table, z = -1.76 has a pvalue of 0.0392

2*0.0392 = 0.0784

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

5 0

3 years ago

Find the difference quotient and simplify your answer. f(x) = 4x − x2, f(4 + h) − f(4) h , h ≠ 0

Anon25 [30]

The difference quotient and simplification will be = [4 -h-2x]

The given equation is as follows: f(x)= 4x - x²

For finding the quotient and further simplification we must follow the following steps:

[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h

<h3>What is simplification of algebraic operations?</h3>

Getting the functions in their lowest terms is known as simplification.

Brackets will get open and solved further;

[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h

[f(x + h) - f(x)] / h = [4h - h² - 2x]/ h

Finally dividing the whole equation with h;

= [4 - h - 2x]

Learn more about algebraic operations,

brainly.com/question/12485460

# SPJ1

7 0

2 years ago

Simplify. (-5.12) - (-4.7) + (7.021) 6.79 6.601 -2.799

liq [111]

The answer is 6.601, and therefore, the second option.

8 0

3 years ago

Read 2 more answers

Need brief explanation about why false is correct

anyanavicka [17]

We are given the equation:

(a + b)! = a! + b!

Testing the given equation

In order to test it, we will let: a = 2 and b = 3

So, we can rewrite the equation as:

(2+3)! = 2! + 3!

5! = 2! + 3!

We know that (5! = 120) , (2! = 2) and (3! = 6):

120 = 2 + 6

We can see that LHS ≠ RHS,

So, we can say that the given equation is incorrect

6 0

3 years ago

Simplify the Expression:

Mamont248 [21]

Your answer is C, not B.

-3x + 4 + 2x -2 combined like terms.

-1x + 2

-x - 2. Simple Math.

7 0

4 years ago