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oee [108]
2 years ago
14

The larger of two numbers is 1 more than twice the

Mathematics
1 answer:
stellarik [79]2 years ago
7 0

Answer:

Step-by-step explanation:

Hi there!

Let the smaller number be x and the larger number be 2x+1.

According to the question,

The sum of the numbers is 20 less than three

times the larger.

i.e x + (2x+1)= 3*(2x+1) - 20

or, x + 2x +1 = 6x + 3 -20

or, 3x + 1 = 6x - 17

or, 3x = 18

or x= 18/3

x = 6

And 2x+1 = 2*6+1 = 13.

Therefore the smaller number is 6 and larger number is 13.

Hope it helps!

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Answer:

The answer is x = 5.

Step-by-step explanation:

Given:

Δ ABC is an Isosceles triangle with AB = CA

   m∠ ABC = ( 6x + 4 )°

   m∠ BAC = 73°

   m∠ BCA = ( 8y - 7 )°

To Find:

x = ?

Solution:

Properties of an Isosceles Triangle.

  1. Base angles or two angles are equal.
  2. Any two sides are equal.

Here , Δ ABC is an Isosceles triangle with AB = CA

∴  m∠ BAC = m∠ BCA

73= 8y-7\\8y=73+7\\8y=80\\y=\frac{80}{10} \\y=10

∴      m∠ BCA = ( 8y - 7 )°

                       = 8 × 10 - 7

       m∠ BCA  = 73  Which is same as ∠ CAB

Property of a Triangle is Sum of the measures of the angle of a triangle is 180°.

\angle ACB + \angle CAB + \angle CBA = 180

Substituting the values we get,

73 + 73 + (6x+4) = 180\\6x+4=180-146\\6x=34-4\\6x=30\\x=\frac{30}{6} \\x=5\\

The answer is x = 5.

7 0
3 years ago
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