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tatuchka [14]
2 years ago
12

In the figure below, mROP = 125°.

Mathematics
1 answer:
Hunter-Best [27]2 years ago
5 0

Step-by-step explanation:

step 1. mPOS = 180 - 125 = 55° (supplementary angles)

step 2. mQOS = 125° (vertical angles)

step 3. mQOR = 55° (supplementary angles).

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I am having trouble finding this out will anyone help?
dalvyx [7]

Answer: g = 4

Step-by-step explanation:

30 = 26+g

4 = g

5 0
3 years ago
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s
wolverine [178]

Answer:

x^4 - 14x^2 - 40x - 75.

Step-by-step explanation:

As complex roots exist in conjugate pairs the other zero is -1 - 2i.

So in factor form we have the polynomial function:

(x - 5)(x + 3)(x - (-1 + 2i))(x - (-1 - 2i)

= (x - 5)(x + 3)( x + 1 - 2i)(x +1 + 2i)

The first 2 factors  = x^2 - 2x - 15 and

( x + 1 - 2i)(x +1 + 2i) = x^2 + x + 2ix + x + 1 + 2i - 2ix - 2i - 4 i^2

=  x^2 + 2x + 1 + 4

= x^2 + 2x + 5.

So in standard form we have:

(x^2 - 2x - 15 )(x^2 + 2x + 5)

= x^4  + 2x^3 + 5x^2 - 2x^3 - 4x^2 - 10x - 15x^2 - 30x - 75

= x^4 - 14x^2 - 40x - 75.

7 0
3 years ago
P=2^(43112609)-1 Suppose you have traveled to a faraway place where the base of the number system is 37 . (The inhabitants of th
AfilCa [17]

Answer:

  8,275,842 digits

Step-by-step explanation:

One more than the floor of the logarithm to the base 37 gives the number of digits. The change of base formula can be used.

  \log_{37}{(2^{43112609}-1)}\approx\dfrac{43112609\log{2}}{\log{37}}\approx 8275841.2

Expressed in the base-37 number system, P has 8275842 digits.

6 0
3 years ago
Find the values of x and y in triangle ABCD
SVEN [57.7K]

Answer:

x and y = 66.5

Step-by-step explanation:

180-47=133

133/2=66.5

6 0
3 years ago
Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questio
nlexa [21]

The measure of angle ∠ACB is 70°. Then the correct option is C.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

∠ABC + ∠BCA + ∠CAB = 180°

        60° + ∠BCA + 50° = 180°

                           ∠BCA = 180° – 110°

                           ∠BCA = 70°

Then the correct option is C.

The complete question is given below.

Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.

The measure of ABC is 60

The measure of BAC is 50

The measure of ACB will be

a. 50

b. 60

c. 70

d. 120

More about the triangle link is given below.

brainly.com/question/25813512

#SPJ1

4 0
1 year ago
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