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3 years ago

AB || CD. Find the measure of

Mathematics

2 answers:

Marat540 [252]3 years ago

8 0

Step-by-step explanation:

solve the equation:

5x-10=4x+20

IgorLugansk [536]3 years ago

3 0

Answer:

The correct answer is option B. 140

Step-by-step explanation:

From the figure we can see that,

AB ║ CD

<u>To find the value of x</u>

From the figure we can see that,

<CFE = <BEF [Alternate interior angles are equal]

4x + 20 = 5x - 10

5x - 4x = 20 + 10

x = 30

<u>To find the measure of <BEF</u>

m<BEF = 5x - 10

= (5*30) - 10

= 150 - 10

= 140°

Therefore the correct answer is option B. 140

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A poll has a percent error of 4%. The poll states 15,000 people will vote for Candidate A in the next election. Which statement

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4 years ago

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In order to qualify for finals in racing event,a race car must achieve an average speed of 250km/hr on a track with a total leng

Kazeer [188]

Answer:

The minimum average speed needed in the second half is 270 km/hr

Step-by-step explanation

We can divide the track in two parts. For the first half of the track the average speed the car achieved was 230 km/hr and we need to make sure that the average speed of the full track is 250 km/hr. Then, we can calculate the average speed of the two parts of the track and force this to be equal to 250 km/hr. In equation, defining $v_2$ as the average speed of the second half:

$\frac{230 + v_2}{2}=250$

Solving for $x$

$x=250*2-230\\x=500-230\\x=270$

Therefore, achieving a speed of 270 km/hr in the second half would be enough to achieve an average speed of 250 on the track.

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3 years ago

Consider the following geometric series.

podryga [215]

Answer:

a) -8/9

b) The series is a convergent series

c) 1/17

Step-by-step explanation:

The series a+ar+ar²+ar³⋯ =∑ar^(n−1) is called a geometric series, and r is called the common ratio.

If −1<r<1, the geometric series is convergent and its sum is expressed as ∑ar^(n−1) = a/1-r

a is the first tern of the series.

a) Rewriting the series ∑(-8)^(n−1)/9^n given in the form ∑ar^(n−1) we have;

∑(-8)^(n−1)/9^n

= ∑(-8)^(n−1)/9•(9)^n-1

= ∑1/9 • (-8/9)^(n−1)

From the series gotten, it can be seen in comparison that a = 1/9 and r = -8/9

The common ratio r = -8/9

b) Remember that for the series to be convergent, -1<r<1 i.e r must be less than 1 and since our common ratio which is -8/9 is less than 1, this implies that the series is convergent.

c) Since the sun of the series tends to infinity, we will use the formula for finding the sum to infinity of a geometric series.

S∞ = a/1-r

Given a = 1/9 and r = -8/9

S∞ = (1/9)/1-(-8/9)

S∞ = (1/9)/1+8/9

S∞ = (1/9)/17/9

S∞ = 1/9×9/17

S∞ = 1/17

The sum of the geometric series is 1/17

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3 years ago

What is the Difference between elimination method and indirect method

soldier1979 [14.2K]

Answer:

Indirect method actually follows the same set of procedure as the direct method except that it begins with net income unlike the elimination method reduced a given system that indicates a system has no unique solution.

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3 years ago

Find the 7th term of the expansion of (3c + 2d)^9.

defon

Answer:

Step-by-step explanation:

Using Pascal's triangle, the expansion, although EXTREMELY lengthy, will help you find the 7th term. I am going to type out the expansion only up til the 7th term (although there are actually 10 terms because we are raised to the power of 9). If you would like to learn how to use Pascal's Triangle for binomial expansion, you will need to visit a good website that explains it because it's just too difficult to do it via this website.

The expasion is as follows (up to the 7th term):

$1(3c)^{9} +9(3c)^{8}(2d)^{1} +36(3c)^{7}(2d)^{2} +84(3c)^6(2d)^3+126(3c)^5(2d)^4+126(3c)^4(2d)^5+84(3c)^3(2d)^6$

That last term is the 7th term. You find out its value by multiplying all the numbers together and adding on the c^3d^6. Again those come from Pascal's triangle, and it's one of the coolest math things ever. I encourage you to take the time to explore how it works.

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3 years ago