Answer:
See the proof.
Step-by-step explanation:
<u>Statement </u><u> </u><u> Reason</u>
1.∠1 and ∠2 are supplementary angles --- Given
2. m∠1 + m∠2 = 180° --- Linear pair, they are supplementary
3. m∠1 and m∠3 are supplementary angles -- m∠1 + m∠3= 180
(Supplementary angles add upto 180 degrees)
4. m∠1 and m∠3 ------ Exterior sides in opposite rays
5. m∠1 + m∠2 = m∠1 + m∠3 ------ Transitive property
6. m∠2 = m∠3 -------------- Subtraction property
7. l || m ------------- If two lines are cut by transversal the alternative interior
angles are the same, then the lines are paralle.
Thank you.
Exterior angle theorem
16x - 7 = 8x + 2 + 10x - 19 ===> 16x -7 = 18x - 17
16x - 16x - 7 = 18x - 16x - 17 ===> -7 = 2x - 17
-7 + 17 = 2x - 17 + 17 ===> 10 = 2x ======> 5 = x
Plug x in to each equation.
Angle P: 8(5) + 2 = 42 deg, Angle Q: 10(5) - 19 = 31
The sum of interior angles = 180. 180 - 42 -31 = 107 deg (angle of PRQ)
To check that line other angle : 16(5) -7 = 73 deg + 107 = 180 deg
Answer:
d=6
Step-by-step explanation:
divide 30 by 5 to get the value of d
Answer:
A
Step-by-step explanation:
We do the opposite.
The chi-squared test statistic will be 3.11. The test statistic is contrasted with a predicted value based on the Chi-square distribution.
<h3>What is the chi-squared test statistic?</h3>
Finding the squared difference between the actual and anticipated data values, then dividing that difference by the expected data values, constitutes the test statistic.
The formula for the chi-squared test statistic is;
Where,
is the observed value
is the expected value
The chi-square test statics is;
Hence, the chi-squared test statistic will be 3.11.
To learn more about the chi-squared test statistic refer;
brainly.com/question/14082240
#SPJ1
