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3 years ago

What is always true about vertical angles?

Mathematics

2 answers:

Len [333]3 years ago

8 0

Answer with explanation:

When two lines or line segment Intersect four angles are formed.Two pair of angles forms linear pair that is sum of their angles is equal to 180°.The pair that do not form linear pair are vertical or vertically opposite angles.

So, A Pair of vertically opposite angles are always equal to each other.

In the figure below

∠1=∠2

∠3=∠4

are vertically opposite angles.

MakcuM [25]3 years ago

3 0

Whenever two lines intersect, they form two pairs of vertical angles. Vertical angels have a common vertex, but they are never adjacent angles. Fin, vertical angles are always congruent.

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You wish to test the following claim ( H a ) at a significance level of α = 0.01 . H o : μ = 60.8 H a : μ ≠ 60.8 You believe the

ad-work [718]

Answer:

Step-by-step explanation:

This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 60.8

For the alternative hypothesis,

µ ≠ 60.8

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 8,

Degrees of freedom, df = n - 1 = 8 - 1 = 7

t = (x - µ)/(s/√n)

Where

x = sample mean = 66.9

µ = population mean = 60.8

s = samples standard deviation = 10.7

t = (66.9 - 60.8)/(10.7/√8) = 1.61

We would determine the p value using the t test calculator. It becomes

p = 0.076

Since alpha, 0.01 < than the p value, 0.076, then we would fail to reject the null hypothesis. Therefore, At a 1 % level of significance, the sample data showed that there is no significant evidence that μ ≠ 60.8

Therefore, this p-value leads to a decision to accept the null hypothesis

8 0

4 years ago

An online fax company, EFaxIt, has a customer plan where a subscriber pays a monthly subscription fee of $6.5 dollars and can se

Aloiza [94]

Answer:

62 pages

Step-by-step explanation:

The total cost function is given as below:

C= 0.06p + 12.75

C=total cost for printing= $16.47

0.06= variable printing cost per page

p=number of pages prinited=the unknown

12.75=monthly fixed printing cost

16.47=0.06p+12.75

16.47-12.75=0.06p

3.72=0.06p

0.06p=3.72

p=3.72/0.06

p=62 pages

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3 years ago

Nagrom the Dwarf Queen desires a tunnel through the mountain to connect her two wealthiest cities, Yram and Haras, which lie on

ladessa [460]

This question requires us to use the cosine rule:

a^2 = b^2 + c^2 - 2bc*cos(A),

where A is the included angle between sides b and c, and a is the side of the triangle opposite to the angle.

In the context of the question, a is the length of the tunnel (let's call this t), b is 6 km, c is 7 km and A is 29°.

Given the values in the question and those we defined, we can rewrite the equation for the cosine rule as:

t^2 = 6^2 + 7^2 - 2(6)(7)cos(29)

Now, evaluating this we get:

t^2 = 36 + 49 - 84cos(29)

t^2 = 85 - 84cos(29)

t = sq.root (85 - 84cos(29))

= 3.40 km (rounded to two decimal places)

6 0

4 years ago

Read 2 more answers

Can someone please help me with this geometry question

goldenfox [79]

Answer:

A. q = 39

Step-by-step explanation:

Since the lines are parallel, their sides will be proportional,

So,

Taking their proportion

=> $\frac{60}{40} = \frac{q}{26}$

Cross Multiplying

q × 40 = 26 × 60

q = $\frac{1560}{40}$

q = 39

7 0

3 years ago

daniela uses 1/5 cups of choclate chip for every 1/7 batch of cookies he makes. How many cups of choclate chips does he use in 1

dexar [7]

Answer:

1 2/5 cups

Step-by-step explanation:

1/5 ÷1/7

1/5×7

7/5

1 2/5 cups

7 0

3 years ago