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aleksandr82 [10.1K]
2 years ago
11

Help me find answer please very much lost and its a test:(((will give brainiest or w.e it is

Mathematics
1 answer:
user100 [1]2 years ago
3 0

Answer:

x = 8

Step-by-step explanation:

Recall: according to the exterior angle theorem of a triangle, the sum of two interior angles equals the measure of the exterior angle it is opposite to.

m<MNO = (5x + 2)° => exterior angle of ∆LMN

m<NLM = (x + 10)° => interior angle of ∆LMN

m<LMN = (x + 16)° => interior angle of ∆LMN

Therefore:

m<MNO = m<NLM + m<LMN (exterior angle theorem of triangle)

Substitute

5x + 2 = x + 10 + x + 16

Add like terms

5x + 2 = 2x + 26

Collect like terms

5x - 2x = -2 + 26

3x = 24

Divide not sides by 3

x = 24/3

x = 8

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What is the constantof 24x+32+4x+3
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Step-by-step explanation:


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If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.
zmey [24]

Answer:

a=3 and b=5.

Step-by-step explanation:

So I believe the problem is this:

\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}

where we are asked to find values for a and b such that the equation holds for any x in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

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As you can see there was some cancellation.

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4 0
3 years ago
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A multiple-choice test contains 10 questions. There are four possible answers for each question. a) In how many ways can a stude
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Answer :

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Step-by-step explanation:

Given that a multiple-choice test contains 10 questions and there are 4 possible answers for each question.

∴ Answers=4 options for each question.

<h3>To find how many ways  a student can answer the given questions on the test if the student answers every question :</h3>

Solving this by product rule

Product rule :

<u>If one event can occur in m ways and a second event occur in n ways, the number of ways of two events can occur in sequence is then m.n</u>

From the given the event of choosing the answer of each question having 4 options is given by

The 1st event of picking the answer of the 1st question=4 ,

2nd event of picking the answer of the 2nd question=4 ,

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10th event of picking the answer of the 10th question=4.

It can be written as  by using the product rule

=4.4.4.4.4.4.4.4.4.4

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