So I know some of them but not all them sorry
5. If m<5=70 then m<6= <em><u>20</u></em>
<em>Why? </em> Because there is a 90 degree angle there and if m<5 is 70 all you have to do to get m<6 is subtract 70 from 90 and you get 20 degrees
6. If m<5=70 then m<1= <em><u>90 </u></em> and m<4=<em><u>90 </u></em>
<em>Why? </em>Because you can see based on the drawing that they form right angles
4a. FGK is right angles
4b. The measure of FGK is 90 in total
<em>Why? </em> It has the right angle
Hope this helps:) this was all I could remember
Absolute value (no negatives)
1/16=.0625*16=1+16=17+16=33
Answer:
a: z = -1.936
b: 0.0265
d: z < -1.645
Reject H0 if z < -1.645
Step-by-step explanation:
We are given:
H0: µ = 20
HA: µ < 20
n = 60, sample mean: 19.6, σ = 1.6
Since the alternate hypothesis has a < sign in it, it is a left tailed test. The < or > sign in the alternate hypothesis points towards the rejection region.
For a: We need to calculate the test statistic for our situation. This is done with a z-score formula for samples.
For b: we need to use the z-score table to look up the p-value for the score we calculate in part a. The p-value is 0.0265. This means that there is only about a 2.65% chance that the sample values were a result of random chance.
For d: Since the significance level is 0.05, and this is a one tailed test, we have a critical value of z < - 1.645. This means that if the z-score we calculate in part a is less than -1.645, we will reject the null hypothesis
See attached photo for all the calculations!
Answer:
I would change 2x+4y=24 into x=12–2y
To do that, divide both sides by 2 and then subtract 2y on each side.
After that, substitute for x. 3x+2y=19 would become 3(12–2y)+2y=19.
Then solve.
3(12–2y)+2y=19
36–6y+2y=19
-4y+36=19
-4y=-17
y=4.25
Then, substitute y in either equation.
Either this:
3x+2y=19
3x+2(4.25)=19
3x+8.5=19
3x=10.5
x=3.5
Or:
2x+4y=24
2x+4(4.25)=24
2x+17=24
2x=7
x=3.5
Or you could solve it in the equation you created in the beginning:
x=12–2y
x=12–2(4.25)
x=12–8.5
x=3.5
The coordinates where the lines intercept are (3.5, 4.25).
Sorry for the long answer!
Answer:

Step-by-step explanation:
<u>Given fraction</u>:



Rewrite 9 as 3 · 3:

Cancel the common factor y in the first fraction and the common factor 3 in the second fraction:

