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3 years ago

Can someone help me understand number 4? please

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

5 0

9514 1404 393

Explanation:

You are given a side and its opposite angle as being congruent to their counterparts in the other triangle. To prove triangle congruence, you need at least 2 sides and an angle, or at least 2 angles and a side, or 3 sides. That is, available congruence postulates are ...

SSS SAS ASA AAS

Here, we observe that congruence of another angle can be claimed by considering the vertical angles at M. So, our proof can be written as ...

1. ∠LOM≅∠NPM, LM≅NM . . . . given

2. ∠LMO≅∠NMP . . . . vertical angles are congruent

3. ΔLOM≅ΔNPM . . . . AAS congruence postulate

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For the scientific notation, write the standard form: 5.61 x 102

Alekssandra [29.7K]

I believe the exponential form above is 5.61 x $10^{2}$

Answer:

561

Step-by-step explanation:

A "scientific notation" is being used in order to express large numbers in its simplest form. This is commonly used in careers that use Mathematics very often like engineers or scientists because it makes their computation easier.

The "standard form" refers to the standard or traditional way of writing the numbers.

In order to get the standard form above, you have to check the "power of the number 10." The exponent above is 2. This means that you have to move the decimal point of 5.61 to the right twice. So, the answer is 561.

4 0

3 years ago

30 POINTS

vivado [14]

Centre= (-1,-2)
Radius=5
All working shown on photo

6 0

3 years ago

Solve x(x-1) (X-5) <=O

lara [203]

Answer:

x <= 0 or 1 = < x <= 5.

Step-by-step explanation:

First we find the critical points:

x(x - 1)(x - 5) = 0

gives x = 0, x = 1 and x = 5.

Construct a Table of values:

x < 0 x = 0 0< x < 1 1 =< x <= 5 x = 5

x <0 0 >0 <0 0

x - 1 <0 -1 >0 <0 0

x - 5 < 0 0 > 0 <0 0

x(x-1)(x-5) < 0 0 >0 <0 0

So the answers are x =< 0 or 1 =< x <= 5.

8 0

3 years ago

A line passes through the point (4, -6) and has a slope of 3/2 . Write an equation in slope-intercept form for this line.

tatyana61 [14]

A slope intercept form: y = mx + b where m = slope and b = y -intercept

A slope of 3/2 is given

So y = 3/2 x + b

To find b:

b = y - mx

A line passes through the point (4, -6)

b = -6 - (3/2)(4)

b = -6 - 6

b = - 12

Answer

Equation in slope intercept form: y = 3/2 x - 12

8 0

3 years ago

Read 2 more answers

What is the prime factorization of 121?

Diano4ka-milaya [45]

121|11
11|11
1

$121=11^2$

3 0

3 years ago