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3 years ago

Can you please help me solve this problem!! I need help!!! (Zoom in the pic to see better)

Mathematics

1 answer:

Oksi-84 [34.3K]3 years ago

7 0

Use same-length line segments to solve for x and y.

... PS = SR

... 4x +4 = 7x -17

... 21 = 3x . . . . . . . . . add 17-4x

... 7 = x . . . . . . . . . . . divide by 3

... PS = SR = 4·7+4 = 32

... PQ = QR

... 5y -31 = 2y +5

... 3y = 36 . . . . . . . . . add 31-2y

... y = 12 . . . . . . . . . . . divide by 3

... PQ = QR = 2·12 +5 = 29

... PT = TR = 6·7-2·12 = 18

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Step-by-step explanation:

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4 years ago

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2 years ago

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In a random sample of 535 people 65% said they like cookies with chocolate chips 37% like cookies with peanut butter chips. 25%

Leokris [45]

<h3>The probability that a randomly selected person likes cookies with chocolate or peanut butter chips is 0.77.</h3>

Step-by-step explanation:

Here, the total sample of people has total 535 people.

The percentage of people liking chocolate chip cookies = 65%

Now, 65% of 535 = $\frac{65}{100} \times 535 = 347.75 \approx 348$

⇒ 348 people in total like chocolate chip cookies.

⇒ n(C) = 348

The percentage of people liking peanut butter chip cookies = 37%

Now, 37% of 535 = $\frac{37}{100} \times 535 = 197.95 \approx 198$

⇒ 198 people in total like peanut butter chip cookies.

⇒ n(B) = 198

Percentage of people liking both chocolate &peanut butter chips = 25%

Now, 25% of 535 = $\frac{25}{100} \times 535 =133.75 \approx 134$

⇒ 134 people in total like both chocolate &peanut butter chips

⇒ n(C ∩ B ) = 134

Now, n( C U B) = N(C) + n(B) - n(C ∩ B )

= 348 + 198 - 134 = 412

P( person likes cookies with chocolate or peanut butter chips)

= $\frac{\textrm{person likes cookies with chocolate or peanut butter chips}}{\textrm{Total People}} = \frac{412}{535} = 0.77$

Hence, the probability that a randomly selected person likes cookies with chocolate or peanut butter chips is 0.77.

6 0

3 years ago

Can someone explain this

dolphi86 [110]

<h3>Answer: 28</h3>

=========================================================

Explanation:

Let x be the unknown angle we want to find. This angle is in degrees.

The diagram shows 19 is the opposite of this angle, and the side 35 is adjacent to the angle.

We use the tangent ratio to tie the two sides together

$\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(x) = \frac{19}{35}\\\\x = \tan^{-1}\left(\frac{19}{35}\right)\\\\x \approx 28.4956386\\\\x \approx 28\\\\$

Note: The notation $\tan^{-1}$ refers to the inverse tangent, or arctangent.

6 0

3 years ago

If three geometric means are inserted between 120 and 15/2 what is geometric mean?

ruslelena [56]

Step-by-step explanation:

If there are 3 geometric means between 120 and ¹⁵/₂, then the sequence is:

120, 120r, 120r², 120r³, ¹⁵/₂

Therefore:

120r⁴ = ¹⁵/₂

r⁴ = ¹/₁₆

r = ½

The sequence is therefore:

120, 60, 30, 15, ¹⁵/₂

7 0

4 years ago