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Ira Lisetskai [31]
3 years ago
9

Find the values of x and y

Mathematics
1 answer:
qaws [65]3 years ago
8 0

Answer:

y=30

x=60

Step-by-step explanation:

The triangle has all sides equal therefore all the angles are equal.

For all the angles to be equal and add up to 180 (sum of angles in a triangle is 180), each angle has to be 60.

Therefore y=90-60

=30

x=180-(30+90)

=60

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The length of a rectangle is 2 units shorter than one-fifth of the width, x.
sergey [27]

Answer:

C. P=\frac{12x}{5} + 4

Step-by-step explanation:

Width = x

Length = one fifth of width minus 2

Length = \frac{1}{5}x-2

Perimeter is given by the formula

P=2(l+b)

P=2(\frac{1}{5}x-2+x)

P=2(\frac{x}{5}-2+x)

P=2\times \frac{x-2 \times 5+5 \times x}{5}

P=2\times \frac{x-10+5x}{5}

P=2\times \frac{6x}{5} - 2\times \frac{-10}{5}

P=2\times \frac{6x}{5} + 2\times \frac{10}{5}

P=\frac{12x}{5} + 4

5 0
3 years ago
Find 7.4 times the difference between 87 and 24​
AysviL [449]

Answer:

466.2

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
A tree is leaning at a 5° angle from vertical, making an 85° angle with the ground. when the sun is at a 65° angle of elevation,
White raven [17]

using the law of sines, the approximate length of the tree is calculated as: C. 45 ft.

<h3>What is the Law of Sines?</h3>

The law of sines is given as: sin A/a = sin B/b = sin C/c, which is used to solve a triangle.

Given the following:

  • H = the length of the tree = ? (b)
  • Let sin A = 30°
  • a = 25
  • Sin B = 65°

Apply the law of sines

sin 30/25 = sin 65/H

H = (sin 65 × 25)/sin 30

H ≈ 45 ft.

Learn more about the law of sines on:

brainly.com/question/2807639

#SPJ4

5 0
2 years ago
4. The results of testing a new drug on 1,000 people with a certain disease found that 510 of them improved when they used the d
Shalnov [3]

Answer:

It would not be reasonable to say that  more than half of the people with this disease would  improve if they used the new drug

Step-by-step explanation:

Data provided in the question:

Sample size,  n = 1000

Number of people improved when they used the drug = 510

Thus,

Probability that Number of people improved when they used the drug

= 510 ÷ 1000

= 0.510

Now,

margin of error, E = 2\times\sqrt{\frac{p(1-p)}{n}}

= 2\times\sqrt{\frac{0.510(1-0.510)}{1000}}

= 0.032 = 3.2%

Therefore,

Portion of 0.510 is likely to lie in the 3.2% of the actual value of population

And,

The lower portion can be as small as p - E

= 0.510 - 0.032

= 0.478 i.e 47.8% of the sample

Hence,

It would not be reasonable to say that  more than half of the people with this disease would  improve if they used the new drug

4 0
3 years ago
Given three side lengths, how many triangles can be formed?
guajiro [1.7K]
The answer would be 3 or 4 triangles.
8 0
3 years ago
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