Plz help geometry question is below, asap

What is the best estimate for the quotient 5,397 divided by 62

marysya [2.9K]

Answer:

The best estimate is 90.

Step-by-step explanation:

Given : Quotient 5,397 divided by 62 .

To find : The best estimate of the given situation.

Solution : We solve this by approximating the term and then divide to get solution.

Approximation is rounding off the number

→ When the ones digit is greater than 5 (5, 6, 7, 8, or 9) then it round the number up.

→ When the ones digit is less than 5 ( 0, 1, 2, 3, or 4) then it round the number down.

Approximation of 5397 to hundredth is 5400

Approximation of 62 to tenth is 60

Now, divide 5400 by 60

$\frac{5400}{60}= 90$

Therefore, The best estimate is 90.

We can also cross check by actual division of 5397 by 62.

$\frac{5397}{62}= 87.04$

When we approximate 87.04 it round off to 90.

4 0

3 years ago

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If two triangles are congruent, which of the following statements must be

Burka [1]

Answer:

[A] The corresponding sides of the triangles are congruent.

[B] The corresponding angles of the triangles are congruent.

[C] The triangles have the same size.

[D] The triangles have the same shape.

Step-by-step explanation:

SAS which it is stands for {side, angle, side} and the meaning of SAS is that we have two triangles where we see two sides and the included angle are equal.

In Order for two triangles to be congruent must have the following below:

Two figures are said to be congruent if they have same size and same shape.
If two figure are congruent that means the corresponding sides will also be congruent.
If two figure are congruent that means the the corresponding angles will also be congruent.

Hence, base on the given all the following are correct:

A. The corresponding sides of the triangles are congruent. √

B. The corresponding angles of the triangles are congruent. √

C. The triangles have the same size. √

D. The triangles have the same shape. √

Kavinsky

7 0

1 year ago

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Is matrix multiplication comutative?

konstantin123 [22]

Answer:

Matrix multiplication is not conmutative

Step-by-step explanation:

The matrix multiplication can be performed if the number of columns of the first matrix is equal to the number of rows of the second matrix

Let A with dimension mxn and B with dimension nxp represent two matrix

The multiplication of A by B is a matrix C with dimension mxp, but the multiplication of B by A is can't be calculated because the number of columns of B is not the number of rows of A. Therefore, you can notice that is not conmutative in general.

But even if the multiplication of AB and BA is defined (For example if A and B are squared matrix of 2x2) the multiplication is not necessary conmutative.

The matrix multiplication result is a matrix which entries are given by dot product of the corresponding row of the first matrix and the corresponding column of the second matrix:

$A=\left[\begin{array}{ccc}a11&a12\\a21&a22\end{array}\right]\\B= \left[\begin{array}{ccc}b11&b12\\b21&b22\end{array}\right]\\AB = \left[\begin{array}{ccc}a11b11+a12b21&a11b12+a12b22\\a21b11+a22b21&a21b12+a22b22\end{array}\right]\\\\BA=\left[\begin{array}{ccc}b11a11+b12a21&b11a12+b12a22\\b21a11+b22ba21&b21a12+b22a22\end{array}\right]$