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irina [24]
3 years ago
13

In the figure below, k || o. Find the values of x and y. 78 (6y- 108)°

Mathematics
1 answer:
enyata [817]3 years ago
4 0

Answer:

x = 102 , y = 35

Step-by-step explanation:

x and 78 are same- side interior angles and sum to 180° , that is

x + 78 = 180 ( subtract 78 from both sides )

x = 102

x and 6y - 108 are vertically opposite angles and are congruent , so

6y - 108 = 102 ( add 108 to both sides )

6y = 210 ( divide both sides by 6 )

y = 35

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Anyone help me with Algebra question plss ?!
Alex_Xolod [135]

Answer:

Step-by-step explanation:

Find attached:

For algebraic division use KCF method.

K - Keep the first fraction

C- Change division to multiplicatin

F -Flip the second fraction.

3) Indenty used: (a -b)² =a² -2ab + b²

Where a = m and b =2

4) Identity used: (a +b)² = a² + 2ab +b²

Where a = w and b = 1

5) Identity used: a² - b² = (a +b)*(a -b)

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4 0
3 years ago
Write a recursive formula and an explicit formula for the following arithmetic sequence: -1,6,13,20,27
Luden [163]

Answer:

Recursive formula is: a_1=-1 ; \ \ a_n=a_{n-1}+7

Explicit formula is: a_n=7n-8

Step-by-step explanation:

We need to find recursive formula and explicit formula for arithmetic sequence -1,6,13,20,27

In the given sequence First term a₁= -1

Common difference d = 7

Finding Recursive Formula

The recursive formula is of type:a_1= First \ term and a_n=a_{n-1}+d

Since the First term a₁ is -1 and common difference d is 7 so, the recursive formula  for given arithmetic sequence will be:

a_1=-1 ; \ \ a_n=a_{n-1}+7

Finding Explicit Formula

The explicit formula is of type: a_n=a_1+(n-1)d

We have

First term a₁= -1

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7 0
3 years ago
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Answer:

12.

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13.

Base on the picture, we know that:

x° + 2x° + 3x° = 180°

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=> m∠KML = x° = 30°

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5 0
4 years ago
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Alexxandr [17]
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= 0.4

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8 0
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