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QveST [7]
3 years ago
11

A shelf is built on a wall, as shown below. What is the value of x?

Mathematics
1 answer:
sp2606 [1]3 years ago
8 0

Answer:

Step-by-step explanation:

Given:

A shelf is built on a wall. The angles of the triangle are given as (x + 3)°, (2x - 18)° and 90°

We need to determine the value of x.

Value of x:

By triangle sum property, the angles in a triangle always add up to 180°

Thus, we have;

Simplifying, we get;

Subtracting both sides by 75, we get;

Dividing both sides of the equation by 3, we get;

Thus, the value of x is 35.

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Players a, b, and c toss a fair coin in order. the first to throw a head wins. what are their respective chances of winning
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Probability a gets a head  = 1/2
 ..    ..   ..    b ..   ..  ...  ..     =  P(a gets tail) * 1/2  = 1/2 * 1/2 = 1/4
 ..   ... . ..    c  ..  ..  ..  ..  .   = P(and and b gets tail) * 1/2 = 1/4 * 1/2 = 1/8
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3 years ago
Two nonadjacent angles formed by two intersecting lines are
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Two vertical angles are formed. These angles are also equal to each other.
6 0
3 years ago
Matt gave 5 apples to his son and sold 8 times as many apples. If Matt had 1/2 of the apples left, how many did he have in the b
Gala2k [10]

Answer:

90

Step-by-step explanation:

8*5 = 40

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4 0
3 years ago
Read 2 more answers
log 95 The expression Tog2 is the result of applying the change of base formula to a logarithmic expression. Which could be the
Ivanshal [37]

Answer:

third option: log_2  1/3

Step-by-step explanation:

change of base formula:

log_b  a= (log_x a)/(log_x b)

(log 1/3)/(log 2)

apply reverse change of base formula

2 from log 2 becomes new base, and 1/3 becomes the other number

=log_2  1/3

7 0
2 years ago
Is the least number to be added to 5607 to get a perfect square. <br> pls add the steps.
daser333 [38]

Answer:

18

Step-by-step explanation:

70^2 = 4900 < 5607 < 6400 = 80^2

so sqrt(5607) is a two-digit number with tenth-digit 7

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so the smallest square bigger than 5607 is 75^2, which is 5625

so the number should ne 5625 - 5607 = 18

8 0
3 years ago
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