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Svetradugi [14.3K]
3 years ago
5

Triangle ABC is congruent with triangle CDA Find the value of the pronumeral x.

Mathematics
1 answer:
brilliants [131]3 years ago
6 0

Answer:

x = 25

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent.

That is ∠ D and ∠ B are corresponding angles and congruent, thus

4x - 20 = 2x + 30 ( subtract 2x from both sides )

2x - 20 = 30 ( add 20 to both sides )

2x = 50 ( divide both sides by 2 )

x = 25

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At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress.
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Given:

The system of equations that represent the constraints for the given situation is

x+y=4.25

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To find:

The solution of given system of equations.

Solution:

We have,

x+y=4.25           ...(i)

16.90x+4y=36.35           ...(ii)

Multiply equation (i) by 4.

4x+4y=17           ...(iii)

Subtracting (iii) from (ii), we get

16.90x+4y-(4x+4y)=36.35-17

16.90x+4y-4x-4y=19.35

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Divide both sides by 12.90.

x=\dfrac{19.35}{12.90}

x=1.5

Put this value in (i).

1.5+y=4.25

y=4.25-1.5

y=2.75

The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.

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3 years ago
Que es el concepto de funcion?
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Answer: x=6 and the angle is 50

Step-by-step explanation:

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This table is proportional. What is the constant of proportionality?<br> k=
swat32

Answer:

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Step-by-step explanation:

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