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3 years ago

Explain why it is not possible to draw a square that is not a parallelogram

1 answer:

5 0

<span>A square will always be a parallelogram due to the definition of a square.
A parallelogram is a quadrilateral with two pairs of parallel lines. Each two opposite sides are equal and none of the angles is right.
A square is a quadrilateral with 2 pairs of parallel sides, all right angles and all congruent sides.
Since it is part of the definition, it is impossible to have a square that is not a parallelogram.</span>

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1-i need to mix 25% mineral spirits to the varnish i am using what ratio of spirit to varnish am i using? 2-if i use 240 ml of v

zhenek [66]

Answer:

(1) The required ratio of spirit to varnish is 1:3.

(2) You need 80 ml of mineral spirit.

(3) The ratio of tapestries' heights to width is 3:2.

Step-by-step explanation:

(1) If you need to mix 25% mineral spirit to the varnish, then the solution would contain 25% mineral spirit and 75% varnish.

So, $\frac{spirit}{varnish}=\frac{25}{75}$

$=\frac{1}{3}$

Thus, The required ratio of spirit to varnish is 1:3.

(2) If you use 240ml of varnish, then this quantity is 75% of the total solution or ration of varnish to the total solution will be 3:4.

Let $x$ be the quantity of total solution.

Then, $240:x=3:4$ .

⇒ $\frac{240}{x}=\frac{3}{4}$

⇒ $3x=240*4$

⇒ $x=\frac{240*4}{3}$

⇒ $x=320$

That is, total solution is 320 ml.

Now, Spirit = Total solution - Varnish

⇒Spirit = 320ml-240ml

⇒Spirit = 80ml

Hence, if you use 240 ml of varnish, you need 80 ml of mineral spirit.

(3) Robison's tapestries all measure 1.5m long and 1m wide. First, we express dimensions in whole numbers by multiplying them by 10.

Then, dimensions are 15m long and 10m wide.

Now, Height : Width = 15:10

⇒ $\frac{Height}{Width} =\frac{15}{10}$

⇒ $\frac{Height}{Width} =\frac{3}{2}$

Hence, the ratio of tapestries' heights to width is 3:2.

8 0

3 years ago

If (-7,43) and (4,-12) are two anchor points on the trend line, then find the equation of the line

Romashka [77]

Slope, found using the points is -55/11 = -5
We use that for the equation y=mx+b where m=-5. Since we also know one of the points, we can plug that in and find b
-12=-5(4)+b
-12=-20+b
8=b

So the equation of the line is y=-5x+8

8 0

3 years ago

A sauce recipe uses 4 cans of tomatoes in every 2/12 quarts. How many cans of tomatoes are used in each quart of the sauce?

My name is Ann [436]

4/12 quarts
hope this helps

7 0

3 years ago

Three values on a number line are labeled F, G, and H . Which number line correctly shows the values of F, G, and H?

oksian1 [2.3K]

Answer:

Step-by-step explanation:

F must be on -4

H must be on 4 (because it is -f=-(-4)=-1•-4=4)

6 0

2 years ago

Thaddeus shakes his head as he pays $12.37 to the clerk for lunch. Complaining to a friend, Thaddeus says, “Do you realize that

atroni [7]

his income must be "x" which is the 100%, and we would know that 0.2% of that is 12.37.

$\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 12.37&0.2 \end{array}\implies \cfrac{x}{12.37}=\cfrac{100}{0.2}\implies 0.2x=1237 \\\\\\ x=\cfrac{1237}{0.2}\implies x=61.85$

his income must be "x" which is the 100%, and we would know that 2% of that is 12.37.

$\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 12.37&2 \end{array}\implies \cfrac{x}{12.37}=\cfrac{100}{2}\implies 2x=1237 \\\\\\ x=\cfrac{1237}{2}\implies x=618.5$

btw he's not making much either way.

7 0

2 years ago