Since <em>l</em> and <em>m</em> are parallel, the unlabeled angle adjacent to the 63° one also has measure (7<em>x</em> - 31)° (it's a pair of alternating interior angles).
Then the three angles nearest line <em>m</em> are supplementary so that
(7<em>x</em> - 31)° + 63° + (5<em>x</em> - 8)° = 180°
Solve for <em>x</em> :
(7<em>x</em> - 31) + 63 + (5<em>x</em> - 8) = 180
12<em>x</em> + 24 = 180
12<em>x</em> = 156
<em>x</em> = 13
The bottom-most angle labeled with measure (4<em>y</em> + 27)° is supplementary to the angle directly adjacent to it, so this unlabeled angle has measure 180° - (4<em>y</em> + 27)° = (153 - 4<em>y</em>)°. The interior angles of any triangle have measures that sum to 180°, so we have
(7<em>x</em> - 31)° + 63° + (153 - 4<em>y</em>)° = 180°
We know that <em>x</em> = 13, so 7<em>x</em> - 31 = 60. Then this simplifies to
123° + (153 - 4<em>y</em>)° = 180°
Solve for <em>y</em> :
123 + (153 - 4<em>y</em>) = 180
276 - 4<em>y</em> = 180
96 = 4<em>y</em>
<em>y</em> = 24
Answer:
J =51
Step-by-step explanation:
Your welcome! Have a great day!
Y=3 x=7.5 double check is circled at right
Answer:
Research Hypothesis solves the problem by .....
Step-by-step explanation:
Research Hypothesis is a set of assumed statements, consisting certain variables & their relationships
The variables whose relationship are to be checked by hypothesis testing, are independent & dependent variables. The causal variable(s) are independent variables & the effected variable is the dependent variable.
- Null Hypothesis : It is the hypothesis assuming no statistically significant relationship between independent & dependent variables
- Alternate Hypothesis : It is the hypothesis assuming statistically significant relationship between independent & dependent variable
Example : To check the research question, of relationship between research variables, by formulating hypothesis assumed statement
Y = b0 + b1X ; where
Y = dependent variable, X = independent variable, b0 = autonomous, b1 = X intercept on Y
- H0 : b1 = 0 {No significant relationship between X & Y}
- H1 : b1 ≠ 0 {Significant relationship between X & Y}
This way : Research hypothesis solves the problem by - formulating hypothesis assumptions, which recognise the variables & their relations. At last, acceptance of null or alternate hypothesis gives the final research conclusion & interpretation
