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zavuch27 [327]
3 years ago
12

Given that AD and BC are parallel, find the value of x.

Mathematics
1 answer:
larisa [96]3 years ago
6 0

Answer:

Therefore the value of x is 15.

Step-by-step explanation:

Given:

AD || BC

m∠ B = (9x + 15)°

m∠ A = (3x - 15)°

To Find:

x = ?

Solution:

AD || BC       ...............Given

If two lines are parallel and sum of the interior angles are supplementary.

i.e m∠ B and m∠ A are interior between Parallel lines.

∴ \angle B + \angle C =180\\

Substituting the given values we get

∴ (9x + 15)+( 3x - 15)=180\\12x=180\\\\x=\frac{180}{12} \\\\\therefore x =15

Therefore the value of x is 15.

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Choice C, x-2y=4, Subsitute 0 for y and see what x is. Do the same for the y-intercept

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3 years ago
1.Graph f(x) = -1.5x +6<br> 2.Graph f(x) = -1/2x-5
nalin [4]

Ans(1):

Given equation is f(x)=-1.5x+6

we can plug any number like x=0 and x=2 to find the f(x) also called y-value

plug x=0

f(x)=-1.5x+6 =-1.5*0+6 =0+6 =6

Hence first point is (0,6)

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Hence first point is (2,3)

now we can graph both points then join them to get final graph of f(x)=-1.5x+6

---------------------

Ans(2):

We can repeat exactly same process for f(x) = -1/2x-5.

So the final graph will look like attached picture:


5 0
3 years ago
What is the area of the triangle?
liberstina [14]

Answer:

48

Step-by-step explanation:

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3 0
2 years ago
Identify these prime numbers from the clues.
katen-ka-za [31]

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I the answer is:

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6 0
3 years ago
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Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n &gt; 1?
saveliy_v [14]

You can try them out and see which one works.

a: f(2) = f(1) +6 = 5+6 = 11 . . . . . . not this one

b: f(1) = f(2) -6 = -1-6 = -7 . . . . . . not this one (5 ≠ -7)

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_____

The appropriate choice is ...

... f(n +1) = f(n) - 6

— — — — — 

You can also recognize that the next term is 6 less than the current one, so f(n+1) = f(n) - 6, which corresponds to the 3rd selection.

7 0
3 years ago
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