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3 years ago

Complete the syllogism. All rectangles are polygons. All squares are rectangles. Therefore, ________________

Mathematics

1 answer:

hoa [83]3 years ago

4 0

B. Since a square is a rectangle and a rectangle is a polygon, that makes a square a polygon.

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I do not understand this question and it will be kind if you help a kid in need

Nimfa-mama [501]

Answer:

x = $\frac{mn(q-p)}{n-m}$

Step-by-step explanation:

collect the fractional terms on the left side of the equation and other terms on the right side

subtract $\frac{x-n}{n}$ from both sides

$\frac{x-m}{m}$ - $\frac{x-n}{n}$ + p = q

subtract p from both sides

$\frac{x-m}{m}$ - $\frac{x-n}{n}$ = q - p

We require the fractions to have a common denominator of mn

multiply the numerator/denominator of the first fraction by n and the numerator/denominator of the second fraction by m

$\frac{n(x-m)}{mn}$ - $\frac{m(x-n)}{mn}$ = q - p

distribute and simplify the numerators of the fractions

$\frac{nx-nm-mx+mn}{mn}$ = q - p

$\frac{nx-mx}{mn}$ = q - p

factor out x from each term on the numerator

$\frac{x(n-m)}{mn}$ = q - p

multiply both sides by mn

x(n - m) = mn(q - p)

divide both sides by (n - m)

x = $\frac{mn(q-p)}{n-m}$ → n ≠ m

5 0

4 years ago

-4 + (-3) + 6 simplified

Maru [420]

Answer:

$- 4 + ( - 3) + 6 \\ = - 7 + 6 \\ = - 1$

6 0

3 years ago

A law firm has eight male and six female lawyers. A committee of five, two male lawyers and three female lawyers, is to be chose

valina [46]

The number of way we can choose 2 males out of 8 is combinations of:

C(8,2)=7*8/2 =56/(1*2)=28
to choose 3 females out of 6
C(6,3)=6*5*4/(1*2*3)=120/6=20
the number of committees is= 28*20=560

5 0

4 years ago

Write the point-slope form of the equation of

sweet [91]

Answer:

Step-by-step explanation:

(-5 + 2)/(2 - 0)= -3/2

y + 2 = -3/2(x - 0)

y + 2 = -3/2x + 0

y = -3/2x - 2

7 0

3 years ago

PLEASE SOLVE FOR Y: <img src="https://tex.z-dn.net/?f=7y%2B4%3D3-2y" id="TexFormula1" title="7y+4=3-2y" alt="7y+4=3-2y" align="a

ehidna [41]

Answer:

$y = \frac{-1}{9}$

Step-by-step explanation:

$7y + 4 = 3 - 2y$

add $2y$ to both sides

$7y + 4 + 2y = 3 -2y + 2y \\9y + 4 = 3$

add $-4$ to both sides

$9y + 4 -4 = 3 - 4 \\9y = -1$

divide both sides by $9$

$\frac{9y}{9} = \frac{-1}{9} \\$

$y = \frac{-1}{9}$

6 0

3 years ago

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