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Leya [2.2K]
3 years ago
8

What is the value of x in the diagram?

Mathematics
2 answers:
Allushta [10]3 years ago
8 0

Answer:

x = 30

Step-by-step explanation:

Using Pythagoras Theorem:

x^2 + ( x+ 10)^ 2 = 50^2\\\\x^2 + (x^2 + 100 + 20x ) = 2500\\\\x^2 + x^2 + 20x = 2500 - 100 \\\\2x^2 + 20x = 2400\\\\2x^2 + 20x - 2400 = 0\\\\2(x^2 + 10x - 1200) = 0\\\\x^2 + 10x - 1200 = 0\\\\x^2 + 40x - 30x - 1200 = 0\\\\x(x + 40 ) -30(x + 40) = 0\\\\(x+40)(x - 30) = 0\\\\x = -40, \ x = 30

Since x is the measurement of a side, it can't be negative. Therefore x = 30

dalvyx [7]3 years ago
3 0

Answer:

x = 30

Step-by-step explanation:

here 50 is hypotenuse as it is opposite of 90 degree.

x and x + 10 are the two other smaller sides of a right angled triangle respectively.

using pythagoras theorem,

a^2 + b^2 = c^2

x^2 + (x + 10)^2 = 50^2

x^2 + x^2 + 20x + 100 = 2500

2x^2 + 20x + 100 = 2500

2x^2 + 20x + 100 - 2500 = 0

2x^2 + 20x - 2400 = 0

2(x^2 + 10x - 1200) = 0

x^2 + 10x - 1200 = 0

x^2 + (40 - 30) - 1200 = 0

x^2 + 40x - 30x - 1200 = 0

x(x + 40) - 30(x + 40x) = 0

(x + 40)(x - 30) = 0

either x + 40 = 0          OR x - 30 = 0

x = 0 - 40

x = -40

x - 30 = 0

x = 30

x = -40,30

since the length and distance is not measured in negative ur answer will be 30

credit goes to sreedevi102

thank u very much . At first i was wrong and giannathecookie i m really sorry

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A.
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B.

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Answer:

See attached

Step-by-step explanation:

-> Also see attached

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A plant grew 3 1/4 inches over a 6 1/2 month period.what was the average monthly growth rate for the plant
Solnce55 [7]

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Step-by-step explanation:

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3 years ago
Can anyone please explain? Need some help :)
DedPeter [7]

Answer:

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Step-by-step explanation:

Diameter of the Circle = 12 Units

Therefore:

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Since the hexagon is regular, it consists of 6 equilateral triangles of side length 6 units.

Area of the Hexagon = 6 X Area of one equilateral triangle

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3 years ago
Ray has found that his new car gets 31 miles per gallon on the highwayand 26 miles per gallon in the city. He recently drove 285
Mkey [24]

Answer:

Highway = 155\ miles

City = 130\ miles

Step-by-step explanation:

Given

Highway = 31mi/gallon

City = 26mi/gallon

Total\ Miles = 285

Total\ Gallons = 10

Required

Determine the number of miles driven on the highway and on the city

Represent the gallons used on highway with h and on city with c.

So, we have:

c + h = 10 ---- gallons used

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31h + 26c = 285 --- distance travelled

In the first equation, make c the subject

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Substitute 10 - h for c in the second equation

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Collect like terms

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Make h the subject

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c = 10 - 5

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City = 130\ miles

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3 years ago
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