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Fynjy0 [20]
3 years ago
14

6. HELP

Mathematics
1 answer:
brilliants [131]3 years ago
7 0
16/32 = P/100
Cross multiply
p(32) = 16(100)
32p = 1600
divide by 32 on both sides
p = 50 %
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Solve the measure of an angle is 161°. what is the measure of a supplementary angle?
lions [1.4K]
Supplementary angles sum up to 180°, suppose the supplement of 161° is x. Then
161+x=180
solving for x we subtract 161 from both sides
161-161+x=180-161
x=19
thus the supplement is 19°


4 0
3 years ago
The fourth term of an Arithmetic Sequence is equal to 3 times the first term, and the seventh term exceeds twice the third term
11Alexandr11 [23.1K]

Answer:

The first term is 3. The common difference is 2.

Step-by-step explanation:

The first term is x.

The common difference is d.

The second term is x + d.

3rd term: x + 2d

4th term: x + 3d

7th term: x + 6d

"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"

x + 3d = 3 * x       Eq. 1

"the seventh term exceeds twice the third term by 1"

x + 6d = 2(x + 2d) + 1       Eq. 2

Simplify Eq. 1:

2x = 3d

Simplify Eq. 2:

x + 6d = 2x + 4d + 1

x = 2d - 1

Multiply both sides of the last equation by 2.

2x = 4d - 2

2x = 3d   (simplified Eq. 1)

Since 2x = 2x, then the right sides are equal.

3d = 4d - 2

d = 2

2x = 3d

2x = 3(2)

2x = 6

x = 3

Answer: The first term is 3. The common difference is 2.

8 0
3 years ago
The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers. a) set up the variables Let _
Gelneren [198K]

Answer:

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Step-by-step explanation:

a) set up the variables

Let x represent the first number Then  y will represent the second number.

b) What is the equation that represents the above situation?

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c) Solve the equation.

<u>Substitute x in the second equation and solve for y:</u>

  • x + y = 51
  • 2y + y = 51
  • 3y = 51
  • y = 51/3
  • y = 17

<u>Then find x</u>

  • x = 2y = 2*17 = 34
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Answer:

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5 0
3 years ago
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I need all 5 of them please
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2 years ago
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