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stich3 [128]
3 years ago
13

Somebody please help me with these two questions ASAP I have class soon and I don’t understand please someone help ASAP. PLEASEE

EEEEE

Mathematics
1 answer:
taurus [48]3 years ago
3 0

2.

The 21 degree angle shown is a corresponding angle to angle 3, which means they are identical, so angle 3 is 21 degrees.

Angle 3 and 4 are supplementary angles which need to add up to 180 degrees.

Angle 4 = 180 - 21 = 159 degrees.

3. A bisector means both sides are the same length.

Set the two equations to equal to solve for x:

4x+12 = 2x +18

Subtract 2x from both sides:

2x +12 = 18

Subtract 12 from both sides:

2x = 6

Divide both sides by 2:

x = 3

Now you have x, solve both equations and add them together:

4(3) +12 = 12+12 = 24

2(3) +18 = 6+18 = 24

24 +24 = 48

AB = 48

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\Rightarrow\ z=\dfrac{0.3684-0.45}{\sqrt{\dfrac{0.45(1-0.45)}{76}}}=-1.4299121397\approx-1.43

b) P-value for two-tailed test = 2P(Z>|z|)= 2P(z>|-1.43|)

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=2(1-P(z≤1.43)

=2-2P(z≤1.43)

= 2-2(0.9236)[Using standard z-table]

= 2-1.8472=0.1528

Hence,  the P-value of the test= 0.1528

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