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TiliK225 [7]
4 years ago
13

Identify the correct justification for each step, given that ∠1 and ∠2 are complementary, and ∠2 and ∠3 are complementary.

Mathematics
1 answer:
Step2247 [10]4 years ago
7 0

Explanation:

  1. Given
  2. Definition of complementary
  3. Definition of complementary
  4. Transitive property of equality
  5. Addition (subtraction) property of equality

In step 4, we make use of the property that things equal to the same thing are equal to each other.

In step 5, we make use of the fact that subtracting the same quantity (m∠2) from both sides of the equal sign doesn't change the values of any of the other parts of the equation.

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Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "
podryga [215]

Option B: 3 is the right answer

Step-by-step explanation:

If y varies directly as x, it can be expressed as:

y ∝ x

y= kx

If the values in table are directly proportional then the value of k should be same for all pairs.

k = \frac{y}{x}\\k = \frac{6}{2} = \frac{9}{3} = \frac{12}{4} = \frac{15}{5} = 3

the table is directly proportional and the value of k is 3

Hence,

Option B: 3 is the right answer

Keywords: Proportion, variation

Learn more about proportion at:

  • brainly.com/question/6788996
  • brainly.com/question/669100

#LearnwithBrainly

4 0
3 years ago
Write a recursive formula for an, the nth term of the sequence 3, -4, -11
yKpoI14uk [10]

Answer:

, 12, 48, 192...

a. Write a recursive formula for the nth term of the sequence

Ans: a(n+1) = 4*a(n)

------------------------------

b. Write a general formula for the nth term of the sequence

a(n) = 3*4^(n-1)

--------------

c. Calculate S10 for this sequence

Geometric sequence with a(1) = 3 and r = 4

----?

Step-by-step explanation:

8 0
3 years ago
A basketball has a diameter of 10 in. Using = 3.14, what is the approximate volume of the basketball in cubic inches?
m_a_m_a [10]

Answer:

523.3 cubic inches

Step-by-step explanation:

A basketball has a diameter of 10 in. Using = 3.14, what is the approximate volume of the basketball in cubic inches?

The shape of a basketball is spherical.

Hence:

The volume of a basketball = 4/3 × π × r³

From the question,

π = 3.14

r = radius = Diameter/2

r = 10 in/2 = 5 in

Hence:

The volume of the basketball

= 4/3 × 3.14 × 5³

= 1570 ÷ 3

= 523.33333333 cubic inches

Therefore, the approximate volume of the basketball = 523.3 cubic inches

5 0
3 years ago
PICTURES ARE ATTACHED, PLEASE HELP :)
liq [111]

for the first one, use Pythagoras theory to find the answer which is

opposite2+adjacent2=hypotenus2

the 2 behind all of them describe the square of all of them

5 0
3 years ago
Help Review of linear pair vertical and complementary
Lera25 [3.4K]

Answer:

x = 15

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

3+6x   + 5x+12 = 180

Combine like terms

11x+15 = 180

Subtract 15 from each side

11x+15-15 =180-15

11x = 165

Divide by 11

11x/11 =165/11

x =15

7 0
3 years ago
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