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3 years ago

What is the length of x? What is the length of EF? Only enter numbers in the answer boxes below:

Mathematics

1 answer:

ioda3 years ago

8 0

Focus on triangles DFC and DFE:

They are both right triangles because DF is perpendicular to EC

DC=DE

DF is a common side

So, the two triangles are congruent. It follows that CF=FE, and in particular

$8x=3x+15 \iff 5x=15 \iff x=3$

And since x=3, the length of EF is

$3x+15=3\cdot 3+15=24$

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3 years ago

The 2 main support rods for a barbeque grill are each 7.5 cm from the centre of the

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Answer:

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Step-by-step explanation:

The length of each support rod can be found using the Pythagorean theorem. The geometry can be modeled by a right triangle, such that the distance from centre is one leg and half the length of the rod is the other leg of a triangle with hypotenuse equal to the radius of the grill.

<h3>Pythagorean theorem</h3>

The theorem tells us that the sum of the squares of the legs of a right triangle is the square of the hypotenuse. For legs a, b and hypotenuse c, this is ...

c² = a² +b²

<h3>application</h3>

For the geometry of the grill, we can define a=7.5 and c=30. Then b will be half the length of the support rod.

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