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k0ka [10]
2 years ago
8

Find a pair of complementary angles. Show work to prove they are complementary.

Mathematics
2 answers:
Kruka [31]2 years ago
8 0

Answer:

Hello! answer: 45 and 45 is a complementary angle and 60 and 30 is a complementary angle

Step-by-step explanation:

Complementary angles are just angles that add up to 90 degrees so... 45 + 45 = 90 60 + 30 = 90 so that is how those are complementary angles.

Hope that helps!

Allushta [10]2 years ago
4 0

Answer:

angle QRT/angle VRT  and angle SRW/angle WRV

Step-by-step explanation:

QRT and VRT: Both angles are 45 degrees, adding those degrees together gets you 90 degree angles meaning that they are complementary.

SRW and WRV: 60 plus 30 is equal to 90 making them complementary angles as right angles are 90 degrees

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X^2+4x+20=12x-5<br><br> Solve this equation
Scrat [10]

Answer:

4 + (or -) 3i

Step-by-step explanation:

Hi!

Alright, so we're going to move all of the variables and constants to one side. Then, using the quadratic formula, we'll find the answer.

1. Move 12x-5 to the left side of the equation by

  a. Subtracting 12x from both sides

  b. adding 5 to both sides.

1: x^2+4x+20-12x+5

2. Group the common terms

  x^2+4x-12x+20+5 --> x^2-8x+25

3. Look at the problem. We can't factor this.

Explanation for why this isn't factorable (you can skip this)

(1) 25 is positive, so its two factors will both be either positive or negative. We're looking for a negative 8, so let's go with negative.

(2) Factors of 25: 1 & 25, 5 &5

Seeing the problem? Ya, none of the factors of 25 sum to eight. So, instead, we're going to use the quadratic formula.

4.  So, the quadratic formula: \frac{-b+-\sqrt{b^2-4ac} }{2a}

Our equation is x^2-8x+25=0

a is the constant in front of the x^2

b is the constant in front of the x

c is the term without any x values

so, a=1, b=-8, and c= 25

Into equation:

\frac{8+-\sqrt{64-4(1)(25)} }{2a}=\frac{8+-\sqrt{64-100} }{2}=\frac{8+-\sqrt{-36} }{2}

8/2 = 4

sqrt(-36) = 6i

6i/2 = 3i (remember, we still have the two in the denominator)

4 + (or -) 3i

8 0
2 years ago
Read 2 more answers
Which logarithmic equation is equivalent to 2^5=32?
kolbaska11 [484]

Answer: 5=log_{2}(32)


Step-by-step explanation:

1. By definition, you have if y=b^{x}, then x=log_{b}(y)

2. Keeping this on mind, you must follow the proccedure shown below:

- You have that:

2^{5}=32

Where:

x=5\\y=32\\b=2

- Substitute values into x=log_{b}(y). Then, you obtain:

5=log_{2}(32)


6 0
3 years ago
Read 2 more answers
When comparing answers on a group assignment, Jenny and Jeremy found that their answers did not match. Part 1: Who do you believ
vitfil [10]
PART 1:

Jeremy gives the correct answer. 

The value of 0.41 [with a bar over the digit 4 and 1] shows that the digit 4 and 1 are reoccurring = 0.414141414141414141....

Jenny's assumption of 41/100 will give a decimal equivalency of 0.41 [without a bar over digit 4 and 1]. This value is not a reoccurring decimal value. 

PART 2:

The long division method is shown in the picture below

PART 3:

As mentioned in PART 1, the result of converting 41/100 into a decimal is 0.41 [non-reoccuring decimal] while converting 41/99 into a decimal is 0.41414141... [re-occuring decimal]. The conjecture in PART 1 is correct



8 0
3 years ago
What is the area of the composite figure?<br><br> D) 48 cm
arlik [135]

Answer:

The answer is c

Step-by-step explanation:

C.88cm

5 0
2 years ago
The circumference of a circle is 71 π m. What is the area, in square meters? Express your answer in terms of π.​
Svetach [21]
The area of the circle is 1260.25 π m^2
8 0
2 years ago
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