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Lesechka [4]
3 years ago
5

GEOMETRY HELP WILL MARK BRAINLIEST

Mathematics
2 answers:
Oksana_A [137]3 years ago
8 0

Answer:

x=8, z=115

Step-by-step explanation:

We can first set up an equation to find x.

13x-39=65

This can be stated because vertical angles are always congruent.

Now, we can add 39 to both sides of the equation to isolate x.

13x=104

Divide both sides by 13.

x≈8

Now, we can set up an equation to find z.

A line has 180 degrees.

That said, we can use that to set up our second equation.

65+z=180

Subtract 65 from both sides.

z=115

alisha [4.7K]3 years ago
4 0

Answer:

x=8

z = 115

Step-by-step explanation:

65 and 13x - 39 are vertical angles so they are equal

65 = 13x - 39

Add 39 to each side

65+39 = 13x - 39+39

104 = 13x

Divide each side by 13

104/13 = 13x/13

8 =x

65 and z are supplementary angles because they form a straight line.  This means they add to 180

65+z = 180

Subtract 65 from each side

65+z-65 = 180-65

z = 115

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Marta_Voda [28]

Answer:

<em>(-3, -129)</em>

<em></em>

Step-by-step explanation:

Given

Two lines:

$x + 5y = 7$

$15x + Py = Q$

are perpendicular to each other and intersect at point (-8,3).

To find: (P, Q)

Solution:

The two lines intersect at (-8,3).

It means, the equation of line will be satisfied when we put value of x = -8 and y = 3

Putting in the second equation, we will get an equation in P and Q:

15\times (-8) + P \times 3 = Q\\\Rightarrow 3P = Q +120 ..... (1)

Given that two lines are perpendicular.

It means the product of their slopes will be equal to -1.

i.e. m_1\times m_2=-1

Slope of a line of the form ax+by+c=0 is given as:

m=-\dfrac{a}{b}

So, slopes of given lines are:

m_1=-\dfrac{1}{5}\\m_2=-\dfrac{15}{P}

Using the condition:

-\dfrac{1}{5}\times \dfrac{-15}{P}=-1\\\Rightarrow P = -3

Putting the value of P in equation (1):

\Rightarrow 3\times (-3) = Q +120 \\\Rightarrow Q = -9-120 = -129

So, answer is <em>(-3, -129)</em>

7 0
3 years ago
Complete the table for y= -2x and graph the resulting line
shepuryov [24]
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3 years ago
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Citrus2011 [14]

Answer:

p = -5

every element in the sequence is created by subtracting 3 from the pervious element.

Step-by-step explanation:

I am not sure you put every necessary information here.

but I'd the visible information is truly everything, then it's is trivial.

the difference between 4 and 1 is ... well, -3. meaning we subtract 3 from 4 to get 1.

we suspect this is the rule and keep trying.

1 -3 = -2

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and -8 -3 = -11

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and the difference between -2 and -8 is -6, and when we place another item in between (p), we cut that in half again to -3. so, it is all consistent.

therefore,

p = -2 -3 = -5

the rule is

an = an-1 - 3

6 0
2 years ago
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4 0
3 years ago
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Answer:

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