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Alina [70]
3 years ago
9

Find the missing side length. Leave your answer as a radical in the simplest form

Mathematics
1 answer:
seraphim [82]3 years ago
4 0

9514 1404 393

Answer:

  x = y = 12

Step-by-step explanation:

A right triangle with a 45° angle is an isosceles right triangle. That means the legs are both the same length. The side ratios of such a triangle are ...

  1 : 1 : √2

Multiplying these ratios by 12 gives ...

  12 : 12 : 12√2 = x : y : 12√2

The side lengths x and y are both 12 units.

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A system of equations is shown below:
ivolga24 [154]
To solve this problem you must apply the procceddure shown below:

 1. You have the following system of equations:
<span>
 x+y = 3 
 2x–y = 6

 2. Then, you must clear the variable y from the first equation and susbtitute it into the second equation, as below:

 x+y=3
 y=3-x

 2x-y=6
 2x-(3-x)=6
 2x-3+x=6
 3x=6+3
 3x=9

 3. Therefore, the value of x is:

 x=9/3
 x=3

 4. As you can see, the correct answer is:

 x=9
 </span>
6 0
3 years ago
I) Find the volume in terms of pie
SVETLANKA909090 [29]

Answer:

i) pi×4500 cm³

ii) pi×600 cm²

iii) 14 liters

Step-by-step explanation:

in general : the diameter is 30 cm, the radius is half of that (15 cm)

i)

the volume of a cylinder is base area times height.

Vc = pi×r²×h = pi×15²×20 = pi×225×20 = pi×4500 cm³

ii)

similar to volume, the side "mantle" area of the cylinder is the circumference of the base area times height.

surface area of the cylinder mantle is

Scm = 2×pi×r×h = 2×pi×15×20 = pi×30×20 = pi×600 cm²

iii)

for this we need now to do the multiplication with pi and then convert the cm³ to liters.

1 liter = a cube of 10 cm side length = 10×10×10 = 1000 cm³

pi×4500 = 14137.17 cm³ = 14.13717 liters or rounded 14 liters

3 0
3 years ago
Identify the constants in the expression below.<br><br> 5x - 3y + 2x -15 +2y + 9
anzhelika [568]

Answer:

The constants are -15 and 9

Step-by-step explanation:

Constants are those numerical values that will never change, despite the value of x. The easiest way to find them are by finding those numbers that are not affecting x in any way.

5 0
3 years ago
Read 2 more answers
State if the two triangles are congruent. If they are, state how you know.
telo118 [61]

Answer:

yes, by AAS there are two sides of corresponding angles

Step-by-step explanation:

HOPE this helps...

8 0
4 years ago
Read 2 more answers
6(x-2=4(x+3) what does x equal
Delicious77 [7]

Hey mate here is your answer.

➛ 6(x-2) = 4(x+3)

➛ 6x-12 = 4x + 12

➛ 6x - 4x = 12 + 12

➛ 2x = 24

➛ x = \frac{24}{2}

⛬ x = 12

4 0
4 years ago
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