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hammer [34]
3 years ago
12

Which of the following is the value of x?​

Mathematics
2 answers:
melisa1 [442]3 years ago
5 0

9514 1404 393

Answer:

  x = 20°

Step-by-step explanation:

Assuming parallel lines, the two angles marked with measures are complementary to each other.

  45° +(5x +35°) = 180°

  5x = 100° . . . . . . . . . . . . subtract 80° from both sides

  x = 20° . . . . . . . . divide by 5

_____

<em>Comment on the geometry</em>

Where a transversal crosses parallel lines, all of the obtuse angles are congruent, and all of the acute angles are congruent. Of course, the acute angles and obtuse angles are linear pairs, hence supplementary. (The only time this won't apply is when all angles are right angles.)

No lines are marked as parallel here, nor does any part of this problem statement say there are parallel lines. So, we cannot find the value of x if we're going strictly by what is shown in the diagram. In the absence of any information, we can only say that the angle marked with an x-expression must be between 0° and 180°.

 0 ≤ 5x +35 ≤ 180 ... -35 ≤ 5x ≤ 145 ... -7 ≤ x ≤ 29.

Tanya [424]3 years ago
3 0

Answer:

A function defines one variable in terms of another. The statement "y is a function of x" (denoted y = y(x)) means that y varies according to whatever value x takes on. Knowing that one variable somehow changes with another is a starting point.

Step-by-step explanation:

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Answer:

x = 3/2 or 1.5

Step-by-step explanation:

distribute 3 to the 2x and -1 by multiplying

6x - 3 = 6

add 3 to both sides to get 6x by itself and it keeps both sides equal

6x = 9

divide by 6

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x = 3/2

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3 years ago
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Instead I’d using the values 1,2,3,4,5,6 on dice, suppose a pair of dice have the following 1,2,2,3,3,4 on one die and 1,3,4,5,6
Oxana [17]

Answer:1/24

Step-by-step explanation:

Since the first die has 4 distinct numbers, and second has 6 distinct numbers, so total number of combinations possible = 4 × 6 = 24

Now, the number of chances where we get the rolling sum as 12 is only one. (

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4 0
3 years ago
Hey can you please give me the answer to this?
Olegator [25]

The height of the tower is 452.66 ft

<h3>What is angle of elevation and depression?</h3>

The angle formed by the line of sight and the horizontal plane for an object above the horizontal.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line.

Given:

we have two angles one of which is angle of elevation and another angle depression.

Using trigonometric ratio,

tan ∅ = P / B

tan 32° = h / 425

0.624= h /425

h= 265.569 ft

again,

tan 29° = h(bottom of the tower) / 425

h(bottom of the tower) = 425 × tan 29°

h(bottom of the tower)  = 235.581 ft

Thus, Height of tower = h(top of the tower) + h(bottom of the tower)

Height of tower = 265.569  + 235.581

Height of tower = 501.15 ft

Learn more about this concept here:

brainly.com/question/20890484

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5 0
2 years ago
Question 2
frosja888 [35]

Answer:

(50,55,60,....)

Step-by-step explanation:

Given that a health insurance plan has a $50 enrollment fee and a copayment of $5 for each doctor visit.

The function f(x) = 5x + 50 gives the cost of x doctor visits

Here x is the no of visits.

No of visits is an independent variable while f(x) total cost is a dependent variable on x

slope = 5 which indicates for each visit extra, extra cost is 5 dollars

Enrollment fee = 50 = fixed cost

Hence domain would be

x =0,1,2,3.....

So range is

(50,55,60,....)

3 0
3 years ago
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