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3 years ago

How do you solve for x when you have this problem below please explain !!

Mathematics

1 answer:

Rzqust [24]3 years ago

3 0

Answer:

The value of x is 16

Step-by-step explanation:

We can clearly see in the diagram that a transversal is intersecting two parallel lines.

When a transversal intersects two parallel lines, eight angles are formed.

The angles which are in the same position on same side of each line intersected by the transversal, are called corresponding angles.

<u>Corresponding angles are congruent.</u>

So,

Angle 6x+4° and 100° will be congruent or equal

$6x+4 = 100\\6x =100-4\\6x = 96\\\frac{6x}{6} = \frac{96}{6}\\x = 16$

Hence,

The value of x is 16

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the first one equals 2
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2 years ago

What times 5 equals 75

saveliy_v [14]

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2 years ago

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Purchasing A regional survey found that 70% of all families who indicated an intention to buy a new car bought a new car within

zheka24 [161]

Answer:

If a family chosen at random bought a car, we need to find the probability that the family had not previously indicated an intention to buy a car = P(I'|B) = 0.3362

Step-by-step explanation:

Let the event that a family that intends to buy a car be I

Let the event that a family does not intend to buy a car be I'

Let the event that a family buys a car in those 3 months be B

Let the event that a family does not buy a car in those 3 months be B'

Given,

P(B|I) = 0.70

P(B|I') = 0.10

P(I) = 0.22

P(I') = 1 - P(I) = 1 - 0.22 = 0.78

If a family chosen at random bought a car, we need to find the probability that the family had not previously indicated an intention to buy a car = P(I'|B)

The conditional probability P(A|B), is given as

P(A|B) = P(A n B) ÷ P(B)

So,

P(B|I) = P(B n I) ÷ P(I)

P(B n I) = P(B|I) × P(I) = 0.70 × 0.22 = 0.154

P(B|I') = P(B n I') ÷ P(I')

P(B n I') = P(B|I') × P(I') = 0.10 × 0.78 = 0.078

P(B) = P(B n I) + P(B n I') = 0.154 + 0.078 = 0.232

P(B') = 1 - 0.232 = 0.768

P(I'|B) = P(B n I') ÷ P(B)

= 0.078 ÷ 0.232 = 0.3362

Hope this Helps!!!

8 0

2 years ago

Which of the binomials below is a factor of this expression 9x2 + 48xy + 64y2?

Soloha48 [4]

Answer:

3x+8y

Step-by-step explanation:

5 0

3 years ago

Compare square root of one hundred eighty and one hundred two eighths using <, >, or =.

olga2289 [7]

Converting the mixed number to a decimal, the correct comparison of the numbers is given as follows:

$\sqrt{180} > \sqrt{100 \frac{2}{8}}$

<h3>What is a mixed number?</h3>

A mixed number is represented by an integer part and a fractional part, as follows:

a b/c.

In which:

a is the integer part.

b/c is the fractional part.

In this problem, the numbers are given as follows:

$\sqrt{180}, \sqrt{100 \frac{2}{8}}$

The mixed number is:

100 and 2/8 = 100 + 0.25 = 100.25.

The square root is an increasing function, hence the higher the input, the higher the square root, as 180 > 100 the comparison is:

$\sqrt{180} > \sqrt{100 \frac{2}{8}}$

More can be learned about mixed numbers at brainly.com/question/1746829

#SPJ1

6 0

1 year ago

How do you solve for x when you have this problem below please explain !!​

How do you solve for x when you have this problem below please explain !!