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crimeas [40]
3 years ago
10

the perimeter of triangle ABC is 54. the triangle has side lengths AB =3×,BC=4×,and AC=5× find the length of each side

Mathematics
1 answer:
Naddik [55]3 years ago
6 0
Firstly setup an equation to find the perimeter:

3x + 4x + 5x = 54, this is because perimeter is equal to sum of all side lengths

Then combine like terms:
12x = 54

Now use the division property of equality by dividing both sides by 12:
x = 4.5

So then, you will substitute the value of x for each value of the side lengths: 
3(4.5) = 13.5 for AB, 4(4.5) = 18 for BC, and 5(4.5) = 22.5 for AC. 

Hope this helps and let me know if you have any more questions!
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Mrs Miller sells a house for 179,000. If she earns a commission of 6% how much money does she earn? Write a proportion and show
yulyashka [42]

Answer:

10,740 money does she ean.

Step-by-step explanation:

Given: Mrs Miller sells a house for 179,000.

She earns a commission of 6%.

we set up a proportions to find how much she earn.

Let x be the money does she earns then;

\frac{179000}{100} =\frac{x}{6}

Simplify:

1790 = \frac{x}{6}

Multiply both sides by 6 we get;

1790 \times 6 = x

Simplify:

x = 10,740

Therefore, she earns money is, 10,740

4 0
3 years ago
One kilogram of cheese costs £9.68
Alex Ar [27]

6.292

1kg=9.69

1000g=9.68

650= 9.68/1000x650=0.00968x650

=£6.292

8 0
3 years ago
What is the area of this parallelogram? 10.35 cm² 12.5 cm² 20.25 cm² 30.6 cm² Parallelogram A B C D is composed of a square and
Taya2010 [7]

Answer:

30.6 cm²

Step-by-step explanation:

The area of the parallelogram is simply the sum of the areas of the component three shapes - the square and the two triangles.

Area of square = 4.5 cm × 4.5 cm = 20.25 cm²

Area of two triangles = 2 ×(1/2) × 2.3 cm × 4.5 cm = 10.35 cm²

Area of parallelogram =  20.25 cm² + 10.35 cm² = 30.6 cm²

5 0
4 years ago
Read 2 more answers
karie builds a skate ramp with 2 metres of wood. she wants the vertical height of the ramp to be 1 metre. what does the angle el
MA_775_DIABLO [31]

9514 1404 393

Answer:

  30°

Step-by-step explanation:

The relationship between triangle sides and angles can be remembered using the mnemonic SOH CAH TOA. Here, we're interested in the relationship involving the hypotenuse and the side opposite the angle:

  Sin = Opposite/Hypotenuse

For a ramp 1 m high and 2 m long, we have ...

  sin(x) = (1 m)/(2 m) = 1/2

  x = arcsin(1/2) = 30°

The elevation angle of the ramp needs to be 30°.

4 0
3 years ago
6 hundreth = thousandths
ryzh [129]
60 hope it helps and its right


8 0
3 years ago
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