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3 years ago

Triangle DEF is isosceles, angle D is the vertex angle, DE=x+7, DF=3x-1, and EF=2x+5

Mathematics

1 answer:

skad [1K]3 years ago

7 0

Answer:

The three sides of isosceles triangle are DE = DF = 11 unit , and EF = 13 unit

Step-by-step explanation:

Given as :

DEF is a isosceles Triangle , with vertex D

The three sides is as

DE = x + 7

DF = 3x - 1

EF = 2x + 5

∵ DEF is an isosceles triangle then two of its sides must be equal

So , Let DE = DF

Or, x + 7 = 3x - 1

Or, 7 + 1 = 3x - x

Or, 8 = 2x

∴ x = 4

So, The measure three sides of isosceles Triangle are :

DE = x + 7 = 4 + 7 = 11 unit

DF = 3x - 1 = 3×(4) - 1 = 11 unit

EF = 2x + 5 = 2×(4) + 5 = 13 unit

Hence The three sides of isosceles triangle are DE = DF = 11 unit , and EF = 13 unit Answer

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Find the value of x when the area of a triangle is 22 in2 and has a base of 3x-1 and height of x.

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Ilia_Sergeevich [38]

Total number of cubic inches of cheese sauce in container = Volume of cylinder = $\pi .8^2.7$

Option A is correct.

Step-by-step explanation:

The diameter of cylinder = 16 inches

The height of cylinder = 7 inches

Total number of cubic inches of cheese sauce in container = Volume of cylinder = ?

The formula used to find Volume of cylinder is:

$Volume=\pi r^2h$

We are given diameter of cylinder while we need radius according to formula.

So, radius = diameter/2

radius = 16/2

radius = 8

Putting values and finding volume:

$Volume=\pi .8^2.7$

So, Total number of cubic inches of cheese sauce in container = Volume of cylinder = $\pi .8^2.7$

Option A is correct.

Keywords: Volume of cylinder

Learn more about Volume of cylinder at:

#learnwithBrainly

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