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pychu [463]
1 year ago
9

HELP HELP PLEASEEE

Mathematics
1 answer:
ratelena [41]1 year ago
3 0
Bsbsnsnsjsjenend 2828282828282828289229292829
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Write the slope-intercept form of the equation of the line described.
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Given: △ACM, m∠C=90°, CP ⊥ AM
larisa86 [58]

Answer:  The answer is 3\dfrac{4}{7}.

Step-by-step explanation:  Given in the question that ΔAM is a right-angled triangle, where ∠C = 90°, CP ⊥ AM, AC : CM = 3 : 4 and MP - AP = 1. We are to find AM.

Let, AC = 3x and CM = 4x.

In the right-angled triangle ACM, we have

AM^2=AC^2+CM^2=(3x)^2+(4x)^2=9x^2+16x^2=25x^2\\\\\Rightarrow AM=5x.

Now,

AM=AP+PM=AP+(AP+1)\\\\\Rightarrow 2AP=AM-1\\\\\Rightarrow 2AP=5x-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(A)

Now, since CP ⊥ AM, so ΔACP and ΔMCP are both right-angled triangles.

So,

CP^2=AC^2-AP^2=CM^2-MP^2\\\\\Rightarrow (3x)^2-AP^2=(4x)^2-(AP+1)^2\\\\\Rightarrow 9x^2-AP^2=16x^2-AP^2-2AP-1\\\\\Rightarrow 2AP=7x^2-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(B)

Comparing equations (A) and (B), we have

5x-1=7x^2-1\\\\\Rightarrow 5x=7x^2\\\\\Rightarrow x=\dfrac{5}{7},~\textup{since }x\neq 0.

Thus,

AM=5\times\dfrac{5}{7}=\dfrac{25}{7}=3\dfrac{4}{7}.

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3 years ago
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A news service conducted a survey of 1077 adults ages 18 years or older in a certain​ country, August 31−September ​2, 2015. The
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Answer:

To determine the percent of adults in the country who believe that the federal government wastes 51 cents or more of every dollar.

Step-by-step explanation:

As per the given scenario, the research objective is :

To determine the percent of adults in the country who believe that the federal government wastes 51 cents or more of every dollar from the population that contains, adults of the country who are aged 18 years or older.

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