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3 years ago

Based on one of the triangle congruence postulates the two triangles shown are congruent

Mathematics

1 answer:

Semenov [28]3 years ago

7 0

Answer: b) FALSE

Step-by-step explanation:

In order to show triangle congruency, you must be able to prove one of the following theorems:

SAS: Side-Angle-Side

SSS: Side-Side-Side

AAS: Angle -Angle-Side

ASA: Angle-Side-Angle

HL: Hypotenuse-Leg (can only be used for right triangles)

We are only given information about two of the sides being congruent but no information on the third side or any of the angles so we canNOT prove the triangles are congruent.

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- - Solve:

If the newspapers needed to be divided evenly across 5 classes, divide by 5.

$\frac{45}{5} =9$

Answer: 9

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3 years ago

Which of the following is the solution for 9<=1-4x<21

frozen [14]

Answer:

-5 < x <=-2

Step-by-step explanation:

9<=1-4x<21

Subtract 1 from each side

9 -1<=1-1-4x<21-1

8 <= -4x < 20

Divide each side by -4. That means to flip all inequalities

8/-4 >= -4x/-4 >20/-4

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-5 < x <=-2

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3 years ago

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worty [1.4K]

Answer:

Option C

Step-by-step explanation:

${ (\frac{ {x}^{4} }{ {7}^{ - 8} } ) }^{ - 7}$

$= \frac{ {x}^{4( - 7)} }{ {7}^{( - 8)( - 7)} }$

$= \frac{ {x}^{ - 28} }{ {7}^{56} }$

${x}^{ - 28} \times {7}^{ - 56}$

3 0

3 years ago

___,36 ,108 ,324 ,972

hjlf

12

First figure out of it is a arithmetic or geometric sequence, in this case it is a geometric sequence because you have to multiply, not add to find the next number.

Divide one number, I'll pick 324 by the number before it, 108, you get three.

Now divide 36 by 3, you get 12.

To check, multiply 12 by 3, you get 36, multiply that by 3, you get 108, and so on and so forth.

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3 years ago

A cryptographic hash takes a message as input and produces a fixed-length string as output, called the digital fingerprint. A br

Allushta [10]

Answer:

$1.85x10^{19}$ attempts are required to find a matching pair if the digital fingerprint is 64 bits long.

$3.40*10^{38}$ attempts are required to find a matching pair if the digital fingerprint is 128 bits long.

Step-by-step explanation:

Each bit has two options. So

How many attempts are required to find a matching pair if the digital fingerprint is 64 bits long?

So for each of the 64 bits, we have the following number of options.

2 - 2 - 2 - 2 -... - 2

So, in all, there are

$T = 2^{64} = 1.85x10^{19}$

options.

So, $1.85x10^{19}$ attempts are required to find a matching pair if the digital fingerprint is 64 bits long.

128 bits long?

Using the same logic as the first question.

$T = 2^{128} = 3.40*10^{38}$

So, $3.40*10^{38}$ attempts are required to find a matching pair if the digital fingerprint is 128 bits long.

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3 years ago

Based on one of the triangle congruence postulates the two triangles shown are congruent​

Based on one of the triangle congruence postulates the two triangles shown are congruent