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katovenus [111]
3 years ago
6

Work out the size of angle x​

Mathematics
1 answer:
Alik [6]3 years ago
6 0

Answer:

∠x = 117°

Step-by-step explanation:

supplement of ∠101° = 79°

all triangle interior angles add up to 180°

180° - 79° - 38° = 63°

the supplementary angle to 63° is 117°

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The equation of three lines are given below
kotykmax [81]

Answer:

The line 2 and Line 3 are perpendicular to each others

But There is no relation between Line 1 and Line 2  , Line 1 and Line 3

Step-by-step explanation:

Given as :

The three line equation is

Line 1 : 2 y = 5 x + 6

Line 2 : y = \frac{2}{5} x - 1

Line 3 : 10 x + 4 y = - 6

Now, The standard equation of line is

y = m x + c

where m is the slope of line

And c is the y intercept

So, From Line 1

2 y = 5 x + 6

or , y =  \frac{5}{2} x + \frac{6}{2}

I.e y =  \frac{5}{2} x + 3

So,  slope of this line = m_1 =  \frac{5}{2}

Again , From Line 2

y = \frac{2}{5} x - 1

So, slope of this line =  m_2 =  \frac{2}{5}

Similarly , From Line 3

10 x + 4 y = - 6

I.e 4 y = - 6 - 10 x

or, y = - \frac{6}{4} -  \frac{10}{4} x

I.e y =  - \frac{5}{2} x  - \frac{6}{4}

So, Slope of this line = m_3 = - \frac{5}{2}

<u>Now, If the lines are parallel , then the slope of the lines are equal</u>

<u>And  If the lines are perpendicular , then the product of the slopes of the lines = - 1</u>

Now, From given lines

m_2 × m_3 = \frac{2}{5} × ( - \frac{5}{2} )

I.e m_2 × m_3 = - 1

So, The line 2 and Line 3 are perpendicular to each others

But There is no relation between Line 1 and Line 2  , Line 1 and Line 3

Hence The line 2 and Line 3 are perpendicular to each others

But There is no relation between Line 1 and Line 2  , Line 1 and Line 3 Answer

6 0
3 years ago
Please answer this correctly
marshall27 [118]

Answer:

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Step-by-step explanation:

u sayh-e-l-l-o yW

6 0
3 years ago
I need help in geomtry please help
Arada [10]
What exactly is your question?
7 0
3 years ago
Which transformation(s) can be used to map one triangle onto the other? select two options. reflection only translation only dil
exis [7]

Transformation which can be used for mapping of one triangle to another are;

  • Only translation
  • Rotation then dilation.

What does mapping mean in geometry?

  • Any method that is outlined for assigning a specific object from one (or the same) set to each object in another is known as mapping.
  • Any set, including all whole integers, all the points on a line, or all the objects inside a circle, can be mapped.

We need to map one triangle to another ;

Hence, for mapping of one triangle to another,

The transformation which can be used from the given options are;

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Learn more about mapping

brainly.com/question/22566343

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8 0
2 years ago
Help me on number problem 4 please
kakasveta [241]

Answer:

y = -1/4x + 3

Step-by-step explanation:

Because you are finding the perpendicular slope, you need to find the negative reciprocal of the original line, which would be -1/4. You then use point slope form to find the y-intercept with the slope and given point:

y - 5 = -1/4(x + 8). That equals to y = -1/4x + 3.

So the equation of this line is y = -1/4x + 3.

7 0
3 years ago
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