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3 years ago

Which steps show how to use the distributive property to evaluate 6 times 49

Mathematics

1 answer:

lina2011 [118]3 years ago

6 0

Answer:

294

Step-by-step explanation:

The distributive property for multiplication is as follows :

a(b+c) = ab + ac

We need to evaluate 6 times 49 i.e. 6(49).

We can write 49 as (50-1)

6(50-1) = 6(50+(-1))

Here, a = 6, b = 50 and c = -1

So,

6(50+(-1)) = 6(50) + 6(-1)

= 300-6

= 294

So, answer is 294. Option (A) is somehow correct.

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Which basic geometric figure is labeled with either one capital letter or three capital letters?

tester [92]

Answer-

An angle is labeled with either one capital letter or three capital letters

Solution-

Point-

As a point is 0 dimensional, so you just need 1 point to define a point.

Line-

As a line is 1 dimensional,so you need 2 points to define a line.

Plane-

A plane is 2 0r 3 dimensional, so you need 3 points to define a plane.

Angle-

An angle measures the amount of turn. An angles is labeled with a single letter at the vertex, as long as it is perfectly clear that there is only one angle at this vertex. Otherwise, it is named according to the intersecting lines with 3 letters.

3 0

3 years ago

Help with this please

Alik [6]

Answer:

Yes, the given parallelogram is a rectangle.

Step-by-step explanation:

The vertices of parallelogram are J(-5,0), K(1,4), L(3,1) and M(-3,-3).

The slope formula is

$m=\frac{y_2-y_1}{x_2-x_1}$

$JK=\frac{4-0}{1-(-5)}=\frac{4}{6}=\frac{2}{3}$

$KL=\frac{1-4}{3-1}=\frac{-3}{2}$

$LM=\frac{-3-1}{-3-3}=\frac{-4}{-6}=\frac{2}{3}$

$JM=\frac{-3-0}{-3-(-5)}=\frac{-3}{2}$

The slopes of opposites sides are same it means they are parallel to each other.

The product of slopes of two consecutive sides is

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

Since the product of slopes of two consecutive sides is -1, therefore the consecutive sides are perpendicular to each other.

Yes, the given parallelogram is a rectangle.

7 0

3 years ago

Costco is offering to perform the floor

const2013 [10]

Answer:

3.50x= t

Step-by-step explanation:

x square feet of teh floor

t= total cost

3 0

2 years ago

Leslie is going to build a rectangular fish pond in her yard. She is using a scale of 2 inches = 6 feet. She created a scale dra

AVprozaik [17]

Answer: 0.5

Step-by-step explanation: I don't know

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2 years ago

If SU and VX are parallel lines and mUTR = 115°, what is mSTW?

grandymaker [24]

Answer:

m STW = 115°

Step-by-step explanation:

here, SU || VX

m STW = m UTR

( vertical opposite angles )

Hence, STW = 115°

6 0

2 years ago