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2 years ago

Which of the following statements must be true about this diagram? Check all that apply.

Mathematics

1 answer:

pishuonlain [190]2 years ago

8 0

Answer:

Options (D), (E) and (F) are the correct options.

Step-by-step explanation:

From the figure attached,

1). Angle 4 is the exterior angle of the given triangle having interior angles 1, 2 and 3.

Therefore, by the property of exterior angle,

∠4 = ∠1 + ∠2

2). Since ∠4 = ∠1 + ∠2,

Therefore, ∠4 will be greater than ∠1

Similarly, ∠4 will be greater than ∠2

Therefore, Options (D), (E) and (F) are the correct options.

You might be interested in

Given right triangle ABC which of the following statements must be true? Check all that apply.

Pachacha [2.7K]

Answer:

Option A. <A and <B are complementary angles

Option D. $Sin(C)=Cos(90\°-C)$

Step-by-step explanation:

we know that

If ABC is a right triangle

then

------> by complementary angles

and

$Sin(C)=Cos(A)$

$Cos(C)=Sin(A)$

Remember that

$A=90\°-C$

$Sin(C)=Cos(90\°-C)$

$Cos(C)=Sin(90\°-C)$

5 0

2 years ago

Match the real-world descriptions with the features they represent within the context of Melissa’s garden. Not all tiles will be

ycow [4]

The features in a function can be used to describe real-world events. The features and their match are:

domain: all possible lengths of the tomato patch
y - intercept: area of the bell pepper patch when the length of the tomato patch is 0
x - intercept: length of the tomato patch when the area of the bell pepper patch is 0
range: all possible areas of the bell pepper patch

For Melissa's garden, the input and output variables are:

Input: tomato patch
Output: bell pepper patch

The range is the list of possible output values, while the domain is the list of possible input values.

This means that: the range is all possible areas of the bell pepper patch while the domain is all possible lengths of the tomato patch

Also, the x and y intercepts are when the values of the output and input variables are 0, respectively.

Using the above comparison;

The y - intercept is the area of the bell pepper patch when the length of the tomato patch is 0, while the x - intercept is the length of the tomato patch when the area of the bell pepper patch is 0.

Read more about functions at:

brainly.com/question/14180189

6 0

1 year ago

Suppose a shipment of 400 components contains 68 defective and 332 non-defective computer components . From the shipment you tak

Alona [7]

Answer:

The standard deviation for the number of defective parts in the sample is 1.88.

Step-by-step explanation:

The sample is with replacement, which means that the trials are independent, and thus, the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

68 defective out of 400:

This means that $p = \frac{68}{400} = 0.17$

From the shipment you take a random sample of 25.

This means that $n = 25$

Standard deviation for the number of defective parts in the sample:

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{25*0.17*0.83} = 1.88$

The standard deviation for the number of defective parts in the sample is 1.88.

6 0

2 years ago

Find all polar coordinates of point P where P = ordered pair 5 comma negative pi divided by 6 .

max2010maxim [7]

Answer:

The correct option is B.

Step-by-step explanation:

If polar coordinates of point P are

$P=(r,\theta)$

Where, r is real number and θ is in radian, then all polar coordinates of point P are defined as

$P=(r,\theta+2n\pi)$

$P=(-r,\theta+(2n+1)\pi)$

The given coordinates are $P(5,-\frac{\pi}{6})$ . So, all polar coordinates of point P are

$P=(5,-\frac{\pi}{6}+2n\pi)$

$P=(-5,-\frac{\pi}{6}+(2n+1)\pi)$

Therefore correct option is B.

6 0

2 years ago

A researcher studying the effect of price cuts on consumers' expectations makes up two different histories of the store price of

viva [34]

Answer:

.B. the eight business students who participated

Step-by-step explanation:

The experimental units are entities (objects, animals, people) on which an experiment is performed. For example testing the efficiency of a particular treatment on four sick goats. in this case the four sick goats are the experimental units.

For the case above, the eight business students who participated in the experiment are the experimental units.

5 0

1 year ago