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2 years ago

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The diagram shows the universal set U = {parallelograms}. Set A represents parallelograms with four congruent sides, while Set B

represents parallelograms with four congruent angles. How many of the parallelograms fall into the category A B?

2 answers:

poizon [28]2 years ago

6 0

Answer:

Step-by-step explanation:

The Answer is 26 on e2020

alexdok [17]2 years ago

5 0

Answer:

U ={ Parallelograms}

A= { Parallelogram with four congruent sides}={ Rhombus,Square}

B ={ Parallelograms with four congruent angles} ={ Rectangle, Square}

So, AB= { Square}

So among all the parallelograms "Square" is the only parallelogram which has all congruent sides as well as all congruent angles.

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Drag each expression to show whether it is equivalent to

Kazeer [188]

Answer:

We need to find which expressions are equivalent to $6(c+6)$ , $6c+6$ or neither.

$6c+12$ : We extract the greatest common factor which is 6. Remember, when we extract a GCM, we divide each term by it.

$6c+12=+(c+2)$

Therefore, this expression is equivalent to neither of the given expressions.

$2(3c+3)$ : We just need to apply the distributive property.

$2(3c+3)=6c+6$

Therefore, this expression is equivalen to $6c+6$ .

We use the same process to the other expressions.

$(6c)+(6\times 6)=6c+36=6(c+6)$

$3c+6+3c=6c+6$

$6c+36=6(c+6)$

$(6+c)+(6+6)=c+18$ , equivalent to neither.

7 0

2 years ago

What is the equation of the line perpendicular to y=2x+3.14 going through the points (2,4)?

inessss [21]

Answer:

$x+2y-10=0$

Step-by-step explanation:

Consider an equation: $y=mx+c$

Here, m is the slope of the line and c is the y-intercept.

Given equation is $y=2x+3.14$

Here, slope is $m=2$

As product of slopes of two perpendicular lines is equal to $-1$ , slope of the required line is $m_1=\frac{-1}{m}=\frac{-1}{2}$ .

Let $(x_1,y_1)=(2,4)$

Equation of the required line is $y-y_1=m_1(x-x_1)$

$y-4=\frac{-1}{2}(x-2)\\2(y-4)=-1(x-2)\\2y-8=-x+2\\x+2y-8-2=0\\x+2y-10=0$

8 0

3 years ago

Suppose that during one period extreme cold,the average daily temperature decreased 1 1/2 F each day. How many days did it take

Alenkasestr [34]

We have been given that during one period extreme cold, the average daily temperature decreased $1\frac{1}{2}$ degree F each day. We are asked to find number of days it will take for the temperature to decrease by 9 degree F.

First of all we will convert our mixed fraction into improper fraction.

$1\frac{1}{2}=\frac{3}{2}$

Now we will divide total temperature change (9) by average daily temperature change ( $\frac{3}{2}$ ) to find number of days.

$9\div\frac{3}{2}$

Dividing a number by a fraction is same as multiplying the number by reciprocal of the fraction.

$9\cdot\frac{2}{3}$

$3\cdot2=6$

Therefore, it will take 6 days for the temperature to decrease by 9 degree F.

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2 years ago

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alexandr402 [8]

Answer:

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Step-by-step explanation:

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2 years ago

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Evaluate this expression for x=-5 and y=-5

Talja [164]

Answer:

$x - 2y=5$

Step-by-step explanation:

Given

$x = -5; y=-5$

$x - 2y$ --- missing from question

Required

Evaluate

We have:

$x - 2y$

Substitute for x and y

$x - 2y=-5 - 2*-5$

$x - 2y=-5 +10$

$x - 2y=5$

3 0

2 years ago