2 years ago

In the graphic below RED = TAN by:

Mathematics

1 answer:

tatuchka [14]2 years ago

3 0

The answer would be HL because the 90 degree angle means they both are congruent due to the Hypotnuse Leg Theorem

You might be interested in

Use the square root property of equality to solve (x - 3)2 = -4. The solutions are

Volgvan

Answer:

3+2i

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

I have a 84% in class, there is a 25 point quiz worth 100 points, how what grade do I need to get to at least have an average gr

Thepotemich [5.8K]

At least about 20 points it can depend on the class but not really.

4 0

3 years ago

Read 2 more answers

A one year membership to Metro Gym costs $460. There is a fee of $50 when you join and the rest is payed monthly. How much do th

dexar [7]

Wouldn't it be $34.17?

5 0

2 years ago

Read 2 more answers

Consider this equation: –3x – 5 2x = 6which is an equivalent equation after combining like terms?

Alla [95]

-3x-5+2x=6
2x-3x-5=6
-1x-5=6
-x-5=6
-x=11
x=11
an equivilent equaiton is x=11

7 0

3 years ago

A box has a volume of 308 cm cubed. Its height is 4 cm greater than its length. Its length is 3 cm greater than its width. What

kifflom [539]

Answer:

4 cm.

Step-by-step explanation:

Given:

A box has a volume of 308 cm cubed.

Its height is 4 cm greater than its length.

Its length is 3 cm greater than its width.

Question asked:

What is the width of the box?

Solution:

Let width = $x\ cm$

Length = $x+3\ cm$

Height = $x+3+4=x+7\ cm$

As we know:

$Volume\ of\ box=length\times width\times height$

$308=(x+3)\times x\times(x+7)\\ \\ 308=(x^{2} +3x)(x+7)\\ \\ 308=x^{2} (x+7)+ 3x(x+7)\\ \\ 308=x^{3} +7x^{2} +3x^{2} +21x\\ \\ 308=x^{3} +10x^{2} +21x\\ \\ Subtract\ 308\ from\ both\ sides\\ \\ x^{3} +10x^{2} +21x-308=0\\ \\ factor\ left\ side\ of\ equation\\ \\ (x-4)(x^{2} +14x+77)=0\\ \\ Set\ factors\ equal\ to\ 0.\\ \\ x-4=0 \ or\ x^{2} +14x+77=0\\ \\ \\$

As width can never be in negative, $x= 4\ cm$

By substituting the value:-

Width = $x\ cm$ = 4 cm

Thus, width of the box is 4 cm.

4 0

2 years ago