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Ronch [10]
4 years ago
15

The angles of a triangle are 128, 5x+10 and 9x. What is the value of x?

Mathematics
2 answers:
Advocard [28]4 years ago
5 0
Angles in a triangle total 180°

180=128+5x+10+9x
180-128-10=5x+9x
42=14x
x=3
Naddika [18.5K]4 years ago
3 0

Answer:

The value of x is 3.

Step-by-step explanation:

It is given that the angles of a triangle are 128, 5x+10 and 9x.

According to the angle sum property of a triangle, the sum of all interior angles of a triangle is 180 degrees.

128+5x+10+9x=180

138+14x=180

14x=180-138

14x=42

Divide both sides by 14.

x=3

Therefore the value of x is 3.

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olga2289 [7]

Answer:

2.4 cans cost 47.4

If you cannot buy 2.4 cans, you must buy 3 cans, then you'll pay 59.25

Step-by-step explanation:

The lawn has trapezoidal shape, so find the area of the trapezoid using formula

A=\text{Midline}\times \text{Height}

In the diagram, ABED is rectangle, so BE = 12 m, thus ED = 20 m - 12 m = 8 m.

Consider right triangle EDC. By the Pythagorean theorem,

ED^2+EC^2=CD^2\\ \\ED^2+8^2=17^2\\ \\ED^2=289-64\\ \\ED^2=225\\ \\ED=15\ m

Thue,

Height = 15 m

Find the midline:

\text{Midline}=\dfrac{AD+BC}{2}=\dfrac{12+20}{2}=16\ m

Hence,

A=16\cdot 15=240\ m^2

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240:100=2.4 cans

One can costs 19.75, so 2.4 cans cost

19.75\cdot 2.4=47.4

If you cannot buy 2.4 cans, you must buy 3 cans, then you'll pay

19.75\cdot 3=59.25

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