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zhannawk [14.2K]
3 years ago
13

Which expression is the best estimate of 15 x 3??

Mathematics
1 answer:
leva [86]3 years ago
6 0

Answer:

Well, Il just say the closest one.

Step-by-step explanation:

243 way off.

1x3 = 3 No.

1x4=4

2x4=8.

2x4 is the closest to 15x3.

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Can you prove this congruent? Using what theorem/postulate?
slavikrds [6]
I'd say that, if the angles S and U are equal, as the SV and UV segments move towards each other, they meet at vertex V, the angles they make, angle SVT and UVT, have to be equal, because the side TV is shared by both, and has the same direction.

now, side TV is on both triangles, and is shared by both, so is the same length, so TV on one triangle is equal to TV on the other

check the picture below

so, you have one Angle, another Angle, and then a Side
                          A                    A                          S

3 0
3 years ago
The length and width of a rectangle are 7 cm and (x-8) cm respectively. Find the value of x if the area with of the rectangle is
Tcecarenko [31]

to find the area of a rectangle is LxW=A

plug in the given numbers you have

L = 7

W = x-8

A = 42

7 * x-8 = 42

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solve for X

3 0
3 years ago
Select the values that make the inequality g < 2 true.
Semmy [17]

Answer:

-10, -3, -2.001, 1, -7, -2.1, -5, -2.01

Step-by-step explanation:

6 0
3 years ago
A mutual funds company’s newsletter says, "A well-diversified portfolio includes assets with low correlations." The newsletter i
LekaFEV [45]

Answer:

The less the correlation between two variables means the more different their output is.

A.) If Rachel wants to diversify her investment by investing on bonds that do not closely follow the returns on the bond. then she should invest in the stocks with low correlation with bonds. I.e: small cap stocks.

B.) Similarly, due to low correlation, small cap bonds will increase ( comparatively to large cap bonds) as the return on her bonds wil drop and vice versa.

8 0
3 years ago
Explain how to write a quadratic equation given the following three points on the graph (5,31) (3,11) (0,11)
masha68 [24]

Given:

The graph of a quadratic function passes through the points (5,31) (3,11) (0,11).

To find:

The equation of the quadratic function.

Solution:

A quadratic function is defined as:

y=ax^2+bx+c            ...(i)

It is passes through the point (0,11). So, substitute x=0,y=11 in (i).

11=a(0)^2+b(0)+c

11=c

Putting c=11 in (i), we get

y=ax^2+bx+11               ...(ii)

The quadratic function passes through the point (5,31). So, substitute x=5,y=31 in (ii).

31=a(5)^2+b(5)+11

31-11=a(25)+5b

20=25a+5b

Divide both sides by 5.

4=5a+b                  ...(iii)

The quadratic function passes through the point (3,11). So, substitute x=3,y=11 in (ii).

11=a(3)^2+b(3)+11

11-11=a(9)+3b

0=9a+3b

Divide both sides by 3.

0=3a+b                 ...(iv)

Subtracting (iv) from (iii), we get

4-0=5a+b-3a-b

4=2a

\dfrac{4}{2}=a

2=a

Putting a=2 in (iv), we get

0=3(2)+b

0=6+b

-6=b

Putting a=2,b=-6 in (ii), we get

y=(2)x^2+(-6)x+11

y=2x^2-6x+11

Therefore, the required quadratic equation is y=2x^2-6x+11.

7 0
3 years ago
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