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2 years ago

Selecting an SUV with a blue exterior

Mathematics

1 answer:

frozen [14]2 years ago

6 0

The answer is straightforward, by the "rule of product":

There are

3×8×2=48

different combinations (distinct possible cars) that can be created.

There 33 choices for body style; 88 choices for exterior colors, and 22 choices of interior color schemes:

Since each of these choices are independent (the choice of body style doesn't depend on exterior or interior color, e.g.) we multiply the number of choices for each quality to obtain: 3×8×2=483×8×2=48 distinct ways to create a car

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Is (5,6.5) a solution to y= -1/2x + 9?

Jlenok [28]

6.5 = - 1/2(5) + 9

6.5 = - 2.5 + 9 which is the same as 6.5 = 9 - 2.5

6.5 = 6.5

So yes, this ordered pair IS a solution.

3 0

3 years ago

Please Help.<br> Match the reasons to the statements given.

marishachu [46]

Answer:

1. Given

2. Diagonals of a parallelogram bisect each other.

3. Vertical angles are equal.

4. Definition of parallelogram.

5. If lines parallel, then alternate interior angles are equal.

6. ASA

7. CPCTE

Step-by-step explanation:

Statement 1:

The first statement is a parallelogram ABCD, which is already given in the question. So, reason 1 is: Given.

Statement 2:

BT and TD are equal because for a parallelogram, its diagonal bisect each other. Here, BD and AC are the diagonals of parallelogram ABCD. So, the diagonals bisect each other at T. Hence, $BT = TD$

Statement 3:

Angles 1 and 2 is a pair of vertical angles. A pair of vertical angles are always equal to each other.

Statement 4:

A parallelogram is a quadrilateral whose opposite sides are parallel and equal. Hence, $BC ||AD$ is because of the definition of a parallelogram.

Statement 5:

Angles 3 and 4 is a pair of alternate interior angles. If two lines are parallel, then the alternate interior angles are always equal.

Statement 6:

The triangles BET and DFT are now congruent because:

i.Angle- $\angle1=\angle2$

ii. Side - $BT = TD$

iii. Angle - $\angle3=\angle4$

Therefore, by ASA postulate the two triangles are congruent.

Statement 7:

As the two triangles are congruent, then their corresponding parts are also equal.

So, by CPCTE, $ET=FT$

5 0

3 years ago

Deepak wrote out the steps to his solution of the equation StartFraction 5 Over 2 minus 3 x minus 5 plus 4 x equals negative Sta

Anna35 [415]

Answer:

Step 1 is incorrect.

Step-by-step explanation:

The given expression is :

$\dfrac{5}{2}-3x-5+4x=\dfrac{-7}{4}$

In step 1, Deepak rearranged the terms in order to simplify like terms together that is followed in step 2.

o, rearranging of the terms of an expression is commutative property and not distributive property. The distributive property is generally applicable to multiplication and is given as:

$x(y+z)=xy+yz$