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2 years ago

AB is a strait line Work out the size of angle x

Mathematics

2 answers:

hjlf2 years ago

6 0

Answer:

109

Step-by-step explanation:

AB = 180° ( straight line )

X = 180 - 42 - 29

= 138 - 29

= 109

Hope this helped :)

solmaris [256]2 years ago

4 0

Answer:

109

Step-by-step explanation:

line AB is 180 degrees because a circle is 360 degrees and half a circle is 180 degrees.

Add 42 degrees and 29 degrees. 42+29 = 71

Then subtract. 180 - 71 = 109

So therefore $x=109$

Hope this helps:)

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Find the length of the base of a square pyramid if the volume is 128 cubic inches and has a height of 6 inches

Len [333]

Answer: a = 8

Step-by-step explanation:

Volume of a square based pyramid is given as

$\frac{a^{2}h }{3}$ .

where a is the length of the side and h is the height.

Substituting into the formula , we have

V = $\frac{a^{2}h }{3}$

128 = $a^{2}h$ /3

384= $a^{2}$ X 6

Divide through by 6

384/6 = $a^{2}$

64 = $a^{2}$

Therefore :

a = $\sqrt{\frac{64}{1} }$

a = 8

6 0

3 years ago

7 divided by 4 x + 3 Y + 4 divided / 4 x minus 3 Y is equal to 5 / 4

DerKrebs [107]

9514 1404 393

Answer:

(x, y) = (4, 4)

Step-by-step explanation:

If you attempt to solve this by clearing fractions, you end up with an extraneous solution. Here, we'll solve the linear equations ...

7a +4b = 5/4

8b -14a = 3/2

where a = 1/(4x+3y) and b = 1/(4x-3y)

Dividing the second equation by 2 and adding the first, we have ...

(7a +4b) +1/2(8b -14a) = (5/4) +1/2(3/2)

8b = 8/4

b = 1/4

Substituting into the first equation gives ...

7a +4/4 = 5/4

a = 1/28

Now, we can get back to solving for x and y.

4x +3y = 1/a = 28

4x -3y = 1/b = 4

8x = 32 . . . . . . . . . add the two equations

x = 4

3y = 28 -4x = 28 -4(4) = 12 . . . . . use x in the equation for 'a'; rearrange

y = 4 . . . . divide by 3

The solution to the system of equations is (x, y) = (4, 4).

_____

<em>Additional comment</em>

If you graph these equations, you find they describe hyperbolas that intersect at (0, 0) and (4, 4). The "solution" (0, 0) is extraneous, as both equations are undefined there.

7 0

2 years ago

If the point of the preimage is (5,2) and the point of the image is (1,2), what RULE was applied to the preimage to obtain the i

marusya05 [52]

<h3>Answer: Choice C) (x-4, y)</h3>

Explanation:

We have x = 5 turn into x = 1. We need to subtract 4 from the x coordinate to get this. Therefore x turns into x-4.

The y coordinate stays at y = 2 the entire time, so y isn't altered. We have y map to y.

Overall, the rule is $(x,y) \to (x-4, y)$ which translates the point 4 units to the left.

5 0

3 years ago

I need 16 1/5 yards of yarn. I need to make costumes I need 5 2/5 each. How many can I make?

AfilCa [17]

Answer:

the answer is going to 3

8 0

2 years ago

Please solve all problems and show work

Setler [38]

46. 6*3=18 hence x=9*3=27 (ratio is 3:1)
47. x=8 clearly 2:1 ratio.
48.ratio is 1/3 hence, x=9/3=3
49.7:1 ratio. so, x=70
I hope you got the hang of it. so do the last two yourself.

6 0

3 years ago