All categories

3 years ago

PLEASE HELP ME I WILL GIVE BRAINLIEST TO ANYONE WHO KNOWS THE RIGHT ANSWER.

Mathematics

1 answer:

vaieri [72.5K]3 years ago

7 0

Answer:

The ASA Postulate

Step-by-step explanation:

You might be interested in

What is the range of possible sizes for side x

Xelga [282]

Answer:

0.5 < x < 16.5

Step-by-step explanation:

For a triangle (by the triangular inequality theorem), we know that the sum of any two sides must be larger than the other side.

When we have a triangle and we know two sides, let's define the measures of these sides as S1 and S2. (such that S2 > S1)

By the first property, we will have that S1 + S2 > S3

Where S3 is the third side, the one that we do not know.

But there is also a lower restriction, given by:

S2 - S1 < S3 < S1 + S2

This is because we also must have:

S1 + S3 > S2

and

S2 + S3 > S1

We can rewrite both of these to get:

S2 - S1 < S3

S1 - S2 < S3

Because S2 > S1, the first inequality is more restrictive, so we need to use that one.

Then we get the inequality:

S2 - S1 < S3 < S1 + S2

Ok, in this case, the shorter side is 8.0 then:

S1 = 8.0

And the longer side is 8.5, then:

S2 = 8.5

And the third side is x, S3 = x

Replacing those in our inequality, we get:

8.5 - 8.0 < x < 8.5 + 8.0

0.5 < x < 16.5

This is the range of possible sizes for side x.

3 0

3 years ago

HELP PLEASE LOTS OF POINTS!!

Paladinen [302]

Answer:

<em>Thus, f and g are inverse functions</em>

Step-by-step explanation:

<u>Inverse Functions</u>

If two functions f(x) and g(x) are inverses, then it follows that:

$f\circ g(x)=x$

Or:

$g\circ f(x)=x$

We are given

$\displaystyle f(x)=\frac{1}{4}x-6$

$g(x)=4x+24$

Let's test if they are inverse functions:

$f\circ g(x)=\frac{1}{4}(4x+24)-6$

Simplifying:

$f\circ g(x)=x+6-6=x$

Now find:

$\displaystyle g\circ f(x)=4\left(\frac{1}{4}x-6\right)+24$

Operating:

$\displaystyle g\circ f(x)=x-24+24=x$

Thus, f and g are inverse functions

6 0

3 years ago

Read 2 more answers

A boy purchased(bought) a party length sandwich 59 in long. He wants to cut it into three pieces so that the middle piece is 6in

Leviafan [203]

Ok so let's start with what we know- the shortest piece is 8 inches so there's one length... then the middle piece is 6 inches longer than the shortest (6+ 8) so the middle piece would be 14 inches long. To find the last piece we can add up the other two pieces we know (14+8) which would be 22 and subtract that from how long the whole sandwich is (59-22) which would be 37 inches long. So in the end he shortest piece would be 8 inches, the middle 14 inches and the longest 37 inches.

8 0

3 years ago

I’m so confused please help there’s a photo above btw

Strike441 [17]

Wow I don't get it either but my guess would be 9,6...sorry....

8 0

4 years ago

Read 2 more answers

A carton can hold 1000 unit cubes that measure 1 inch by 1 inch by 1 inch. Describe the dimensions of the carton using unit cube

navik [9.2K]

The dimensions of the carton are:

10 x 10 x 10 [inch OR unit cubes - it's the same since cubes' dimensions are 1 x 1 x 1 inch)

I attach the explanation below.

6 0

3 years ago