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Elena-2011 [213]
3 years ago
5

If angle A B C is congruent to angle C B D, find x.

Mathematics
1 answer:
Svetlanka [38]3 years ago
6 0
4 x + 30 = 5x + 20
-5x           -5x

-x + 30 = 20
     -30     -30

- x = -10

x = 10
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Kevin weighed his loaded truck at a weigh station. It weighed 14 tons 500 lbs 9 oz. His empty truck weighed 2 tons 600 lbs 12 oz
LenaWriter [7]
None of these are correct my calculations are 11 tons 2138 Ibs 28 oz
7 0
3 years ago
Answer with the explanation step by step
andrey2020 [161]

Answer:

The answer is A. \frac{3(x-21)}{(x+7)(x-7)}.

Step-by-step explanation:

To find the difference of this problem, start by simplifying the denominator, which will look like \frac{3}{x+7}-\frac{42}{(x+7)(x-7)}. Next, multiply \frac{3}{x+7} by \frac{x-7}{x-7}  to create a fraction with a common denominator in order to subtract from \frac{42}{(x+7)(x-7)}. The problem will now look like \frac{3}{x+7}*\frac{x-7}{x-7}-\frac{42}{(x+7)(x-7)}.  

Then, simplify the terms in the problem by first multiplying \frac{3}{x+7} and \frac{x-7}{x-7}, which will look like \frac{3(x-7)}{(x+7)(x-7)}-\frac{42}{(x+7)(x-7)}. The next step is to combine the numerators over the common denominator, which will look like \frac{3(x-7)-42}{(x+7)(x-7)}.

Next, simplify the numerator, and to simplify the numerator start by factoring 3 out of 3(x-7)-42, which will look like \frac{3(x-7-14)}{(x+7)(x-7)}. Then, subtract 14 from -7, which will look like \frac{3(x-21)}{(x+7)(x-7)}. The final answer will be \frac{3(x-21)}{(x+7)(x-7)}.    

4 0
3 years ago
15. a music concert is organized at a memorial auditorium. the first row of the auditorium has 16 seats, the second row has 24 s
Drupady [299]

The equation for the nth term in the arithmetic sequence is   8n + 8.

The number of people that can be accommodated in the 16th row is 136.

<h3>What is an  arithmetic progression?</h3>

Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.

Given that,

No. of seats in first row = 16

No. of seats in second row = 24

No. of seats in third row = 32

Total number of rows = 50

It forms an arithmetic progression

First term = a = 16

common difference d = 8

Number of terms, n = 50

(A) The formula for the n th term of an arithmetic progression is given by

Tn = a + (n - 1) d

    = 16 + (n-1) 8

    = 16 + 8n - 8

Tn = 8n + 8

(B) Now,

n = 16

The number of seats in 16 th row is given by

T(16) = 8 x 16 + 8

T(16) = 136 seats

Hence, (A)The equation for the nth term in the arithmetic sequence is   8n + 8. and (B) The number of people that can be accommodated in the 16th row is 136.

To learn more about arithmetic progression  from the given link:

brainly.com/question/24205483

#SPJ4

4 0
1 year ago
The volume of a right circular cylinder is 1100 cm3 and the radius of its base is 5 cm. Calculate its curved surface area.
Scorpion4ik [409]

Answer:

  • (C) 440 cm²

Step-by-step explanation:

<u>Volume:</u>

  • V = πr²h

<u>Given r = 5 cm and V = 110 cm³, find h:</u>

  • 1100 = π(5²)h
  • 1100/25 = πh
  • 44 = πh

<u>Curved surface area:</u>

  • S = 2πrh = 2*5*πh = 10*44 = 440 cm²

Correct choice is C

3 0
2 years ago
Read 2 more answers
Here is 19 and 20 thank yall
Veseljchak [2.6K]

Answer:

19: The difference between the temperature in Fair Banks and Barlow is 3°F

20: -13°F, -10°F, 15°F, 24°F.

Step-by-step explanation:

I'm assuming that by "compare", it means to find the difference between temperatures in question 19. If it means something else, let me know and I'll try and help you find it.

4 0
2 years ago
Read 2 more answers
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