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3 years ago

AB and BC are perpendicular lines find the value of x.

Mathematics

2 answers:

Bess [88]3 years ago

5 0

Answer:

X=42

Step-by-step explanation:

AB and BC make a right angle

So, 24°+x+24° =90°

48°+x=90°

X=90°-48°

X=42

Lunna [17]3 years ago

5 0

______________________________

<h2>Answers:</h2>

a. 42 degree.

b.i. q=135 degree( being vertically opposite angles)

 j=135 degree( being corresponding angles)

b.ii. 225

<h3>Step by step explanation:</h3>

a. 24+X+24=90[ sum of complementary angles]

 or, 48+X=90

 or,X= 90-48

 X=42 degree

b.i. q=135 degree( being vertically opposite angles)

 Vertically angles are always equal to each other.

 j=135 degree( being corresponding angles)

 Corresponding angles are always equal to each other.

b.ii. p+135=180[ sum of angle in straight line]

 or,p= 180-135

 p=45 degree.

 q= 135 degree[ being vertically opposite angles]

r=p[being vertically opposite angles]

r=45 degree

Now,

p+q+r

= 45+135+45

=225 degree

Hope it helps

Good luck on your assignment

__________________________________

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3 years ago

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3 years ago

How many times does 9 go int 67

AnnZ [28]

°° Awesome question!

I'll show you how to solve this kind of question:

First, you can multiply 9 times any number to see if it's smaller than 67. If it is, it is OK to keep multiplying 9 by more numbers. Let's try this!

9 × 1 obviously equals 9, so we can keep going up.

9 × 2 = 18. Not quite there yet!

Sometimes it is OK for you to skip some numbers, Watch:

9 × 5 = 45. We can keep going. At this point you don't need to go backwards and do 9 × 3 or 9 × 4, because the products will only get farther away from 67.

9 × 6 = 54. We're getting closer!

Let's try to skip one number:

9 × 8 = 72 - HOLD UP! Oh no! We went over a little too much!

Let's try a number in between 6 and 8 - That would be 7, right?

9 × 7 = 63 - We were right on point! Obviously you can't multiply 9 by 8 again because you would get a bigger number - the 72.

__________________________________________________________

That was just one way to go about it, but there's another way, too!

You can divide 9 by 67 and see what you get. You may have a remainder, but you can just throw that out the window when we're all done:

9 ÷ 67 = 7.4444444444444444 The 4 just repeats on and on again, and we don't want that. So just throw those 4's out the window so you're left with 7.

Based on all this work, 9 goes into 67 7 times.

↑ ↑ ↑ Hope this helps! :D

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