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3 years ago

Please help me with this math question

Mathematics

1 answer:

finlep [7]3 years ago

6 0

Answer:

$x=140\degree$

Step-by-step explanation:

The tangents meet the circle at right angles.

The sum of angles in a quadrilateral is 360 degrees

The two given angles will therefore add up to 180 degrees.

This implies that;

$x+40\degree=180\degree$

We solve for x to obtain:

$x=180\degree-40\degree$

This simplifies to

$x=140\degree$

$\therefore x=140\degree$

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What causes a solution to a rational equation to be an extraneous solution?

nika2105 [10]

Answer: If a solution results in zero when subsitituted into the denominator of the equation, the solution is extraneous.

This is because you obtained the solution from a simplified version of the original equation, but you have to check if the solution obtained is a real solution of the original equation

In the case that when you substitute the solution in the original version the denominator becomes zero, this solution must be rejected, because the division by zero is not defined.

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3 years ago

Read 2 more answers

How many 5-letter words that have the letter 'x' are possible? Letters may be repeated, and the words don't have to be meaningfu

aliya0001 [1]

Answer:

2115751

Step-by-step explanation:

Solution:

- The number of 5 letter words that contain x is the number of 5 letter words overall minus the number of 5 letter of words without x.

How many 5 letter words are there overall?

- The first letter could be one of 26 letters. The same could be said about the second letter, and the third, and the fourth and the fifth .. so on.

- So the number of 5 letter words overall is:

26x26x26x26x26 = 26^5 = 11881376

How many 5 letter words are there that do not contain x?

- The first letter could be one of 25 letters (it could be one of any of the other 25 letters but not x). The second letter could also be one of 25 letters, and so could the third, and so could the fourth, and so could the fifth.

- So the number of 5 letter words that do not contain x is:

25x25x25x25x25 = 25^5 = 9765625

- So the number of 5 letter words that contain x is:

26^5 - 25^5 = 11881376 - 9765625 = 2115751.

5 0

3 years ago

The expression 4+10h÷2 models the total cost in dollars for Elizabeth to rent a life jacket and share a kayak for h hours. What

Andreyy89

Answer: $19

Step-by-step explanation:

The total cost in dollars to rent a life Jacket and share a kayak for h hours is given by

$\Rightarrow 4+10h\div 2$

for h= 3 hours, the total cost is

$\Rightarrow 4+10\times 3\div 2$

applying BODMAS

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3 years ago

Which expression is the correct one?

Zarrin [17]

According to the logarithmic property of base change, the correpta answer is option one or the first.
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Therefore the same property applies to this problem and the correct expression for this question is:
logb (x) / logb (a)

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3 years ago

I’m thinking it’s 13? But need someone to clarify if I’m correct!?

Papessa [141]

Answer:

It's 13

Step-by-step explanation:

Well, just use the triangle inequality theorem and pay close attention to angles CAB and EAC... that's all I can say

Hope that helped

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2 years ago