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3 years ago

Using the Law of Syllogism, what conclusion can you draw from the following two statements?

1 answer:

8 0

Answer: Choice C) If you eat too much, then you will need an antacid.

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Think of it like a chain. A leads to B which leads to C. So a shortcut is to skip B and go from A to C directly
A = you eat too much
B = you get heartburn
C = you will need an antacid
If A, then B
If B, then C
Therefore, if A then C

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I need help asap pls and thank you ;)

olga55 [171]

Answer:

$\text{Length of AB is }\frac{ah}{a+h}$

Step-by-step explanation:

Given △KMN, ABCD is a square where KN=a, MP⊥KN, MP=h.

we have to find the length of AB.

Let the side of square i.e AB is x units.

As ADCB is a square ⇒ ∠CDN=90°⇒∠CDP=90°

⇒ CP||MP||AB

In ΔMNP and ΔCND

∠NCD=∠NMP (∵ corresponding angles)

∠NDC=∠NPM (∵ corresponding angles)

By AA similarity rule, ΔMNP~ΔCND

Also, ΔKAP~ΔKPM by similarity rule as above.

Hence, corresponding sides are in proportion

$\frac{ND}{NP}=\frac{CD}{MP} \thinspace\thinspace and\thinspace\thinspace \frac{KA}{KP}=\frac{AB}{PM} \\\\\frac{ND}{NP}=\frac{x}{h} \thinspace\thinspace and\thinspace\thinspace \frac{KA}{KP}=\frac{x}{h}\\\\\frac{NP}{ND}=\frac{h}{x} \thinspace\thinspace and\thinspace\thinspace \frac{KP}{KA}=\frac{h}{x}\\\\\frac{PD}{ND}=\frac{h}{x}-1 \thinspace\thinspace and\thinspace\thinspace \frac{AP}{KA}=\frac{h}{x}-1\\$

$KA(\frac{h}{x}-1)=AP$

$ND(\frac{h}{x}-1)=PD$

Adding above two, we get

$(KA+ND)(\frac{h}{x}-1)=(AP+PD)$

⇒ $(KN-AD)=\frac{x}{(\frac{h}{x}-1)}$

⇒ $a-x=\frac{x}{(\frac{h}{x}-1)}$

⇒ $a-x=\frac{x^2}{h-x}$

⇒ $x^2=ah-ax-xh+x^2$

⇒ $x(h+a)=ah$

⇒ $x=\frac{ah}{a+h}$

3 0

2 years ago

A student earns $9 for 1 h and $36 for 4 h

Novosadov [1.4K]

I do not the question. Please explain

7 0

3 years ago

Determine the measure of the missing angles. Show your work! Be ready to discuss your answer.

soldier1979 [14.2K]

For a.

Since there are already two angles given for the triangle, we can measure the last angle using this formula:

90 + 55 + a = 180

Now solve for "a".

90 + 55 + a = 180

145 + a = 180

a = 180 - 145

a = 35°

For b.

From the picture above, the two triangle's tip are touching and having to form <em>vertical angles. </em>This means that the angles are congruent to each other.

Now that we have two angles in the second triangle(35 and 120), we can use the same formula:

35 + 120 + b = 180

Now solve for "b":

35 + 120 + b = 180

155 + b = 180

b = 180 - 155

b = 25°

3 0

2 years ago

Read 2 more answers

The rules of a contest say there is 8% chance of winning a prize. Seven hundred people enter the contest. Predict how many peopl

vesna_86 [32]

8%=0.08

0.08 times 700=56

56 people win a prize.

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2 years ago

Write an equation of the line below.

Bad White [126]

Y=1/4x-3

1/4x is rise over run or you go up or down then you go left or right. Since this is a positive line you will go up 1 and right 4. The -3 is the point in the y-axis that the line goes through

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3 years ago