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4 years ago

Angle A is a supplementary to Angle B. If < b = 65 degrees what is the value of x if < A = 5x -20 ?

Mathematics

1 answer:

Sedbober [7]4 years ago

3 0

Answer:

x = 27

Step-by-step explanation:

Supplementary angles add up to 180 degrees

65 + 5x - 20 = 180

45 +5x = 180

5x = 135

x = 27

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13. A carpenter needs to replace some flooring in a house.

babunello [35]

Answer:

the carpenter will replace some carpet then you will thank them and pay them

6 0

4 years ago

a term in an arithmetic sequence is 488. the first term of the sequence is 7 and the common difference is 13. find the term numb

lisabon 2012 [21]

Answer: the term number is 38

Step-by-step explanation:

Let the number of the term be x

The value of the xth term = 488

In an arithmetic sequence, the terms differ by a common difference, d. This means that the difference between two consecutive terms, d is constant.

The formula for the nth term is

Tn = a + (n-1)d

Where

Tn = the nth term of the arithmetic sequence

a = the first term of the arithmetic sequence.

d = common difference.

From the information given,

a = 7

d = 13

We are looking for the xth term.

Tx = 488 = 7 + (x-1)13

488 = 7 + 13x - 13

Collecting like terms on the left hand side and right hand side of the equation,

13x = 488 -7 + 13

13x = 494

x = 38

The value of the 38th term is 488.

5 0

4 years ago

PLEASE HELP 100 POINTS!

krok68 [10]

Answer:

800%

Step-by-step explanation:

Volume of a square based pyramid

$\sf V=\dfrac{1}{3}a^2h$

where:

a = base side length
h = height

Given values for Pyramid A:

a = 14 inches
h = 6 inches

Substitute the given values into the formula to find the volume of Pyramid A:

$\begin{aligned}\textsf{Volume of Pyramid A} & = \sf \dfrac{1}{3}(14)^2(6)\\\\& = \sf \dfrac{1176}{3}\\\\& = \sf 392\:\: in^3 \end{aligned}$

Given:

Volume of Pyramid B = 3136 in³

To find how many times bigger Pyramid B is than Pyramid A, divide the volume of Pyramid B by the volume of Pyramid A:

$\implies \sf \dfrac{3136}{392}=8$

Therefore, the volume of Pyramid B is 8 times bigger than the volume of Pyramid A.

8 as a percentage is 800%, since 800/100 = 8.

Therefore, the volume of Pyramid B is 800% the volume of Pyramid A.

To verify this, find 800% of the volume of Pyramid A:

⇒ 800% of 392

= 800/100 × 392

= 8 × 392

= 3136

8 0

2 years ago

How much percentage is 2 of 25

Aleksandr-060686 [28]

That answer would be: %12.5

5 0

3 years ago

The pair of points lies on the same line with the given slope. Find x

Troyanec [42]

Answer:

x = 7

Step-by-step explanation:

The point-slope equation of the line is ...

y -(-13) = -3(x -3)

Substituting -25 for y, we can solve for x:

-25 +13 = -3x +9

-21 = -3x . . . . add -9

7 = x . . . . . . . divide by -3

7 0

3 years ago