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timofeeve [1]
2 years ago
6

Find the measure of angle x in the figure below: •15° •25° •30° •60°

Mathematics
1 answer:
Paul [167]2 years ago
5 0

Answer:

30°

Step-by-step explanation:

Use that

-the sum of angles in a triangle is 180° and that

-vertical angles are congruent ( angle x and the missing angle in the bottom triangle are vertical)

x= 180-75 -75 = 30°

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Can someone explain how to write an equality and how to solve one? I don't understand.​
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7 0
3 years ago
What is the domain and range?
Rasek [7]

Answer:

Domain:- All real numbers

Range:-[3,infinite)

Step-by-step explanation:

In the function there's no value of x for which it is not defined thus domain is R.

Now a modulus will have always it's minimum value 0 thus minimum value of function is 0+3=3. And Max value of a modulus is infinite so infinite+3=infinite.

6 0
2 years ago
8
tia_tia [17]

Answer:

8-6i

Step-by-step explanation:

Multiply out (3-i)^2 in order to find out which expression it is equivalent to.

1) Since the whole quantity is squared, write it out as (3-i)(3-i).

(3-i)^2\\(3-i)(3-i)

2) Multiply binomials by using the FOIL method. Multiply the terms that are listed first in each binomial, then the ones that are listed outermost when looking at both binomials, then innermost, and finally the last terms listed in each binomial. Simplify and combine like terms.

(3-i)(3-i)\\9 - 3i - 3i + i^2

9 - 6i + i^2

3)  i = \sqrt{-1}, so i ^2 must be (\sqrt{-1} )(\sqrt{-1}). Thus, i^2 is equivalent to -1. Knowing this, simplify and combine like terms.

9 - 6i + ((-\sqrt{1} )(\sqrt{-1} ))

9 - 6i -1\\8 - 6i

Thus, it is equivalent to  8 - 6i .

6 0
3 years ago
The test statistic of z=2.08 is obtained when testing the claim that p≠0.611. a. Identify the hypothesis test as being​ two-tail
krek1111 [17]

Answer:

Following are the solution to the given points:

Step-by-step explanation:

When the two-tailed were testing then:

Null and alternative hypothesis:

H_0 : p = 0.611\\\\H_a : p \neq 0.611

Testing the statistics:

\to z = 2.08\\\\P-value = 0.0375\\\\\alpha = 0.01\\\\0.0375> 0.01\\\\P-value < \alpha\\\\

therefore, it fails to reject the null hypothesis.

8 0
3 years ago
Both circle Q and circle R have a central angle measuring 75°. The ratio of circle Q's radius to circle R's radius is 2:5. Which
ycow [4]
The ratio of similar areas is the square of the ratio of the scale factor.

Circle R's sector is (5/2)² = 25/4 the area of Circle Q's sector.
7 0
3 years ago
Read 2 more answers
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