Based on the property of the consecutive angles of a parallelogram, the value of x is calculated as: E. 37.
<h3>What are the Properties of the Angles of a Parallelogram?</h3>
In a parallelogram, the angles that are opposite to each other are congruent while consecutive angles are supplementary.
Angles F and G are consecutive angles and are therefore supplementary (have a sum of 180 degrees.)
Angle F + angle G = 180
4x - 2 + 34 = 180
4x + 32 = 180
4x = 180 - 32
4x = 148
x = 148/4
x = 37
Value of x is: E. 37.
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Answer:
The statistic for this case would be given by:
Step-by-step explanation:
Infromation provided
n=100 represent the random sample selected
X=18 represent the people who rates Pepsi as being "concerned with my health"
estimated proportion of people who rates Pepsi as being "concerned with my health"
is the value that reference to compare
z would represent the statistic
Hypothesis to test
For this case we can assume that the interest is check if the proportion of people who rates Pepsi as being "concerned with my health" is equal to 0.1 or not
, then the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The satistic for this one sample proportion test is given by:
(1)
Replacing the info given we got:
9514 1404 393
Answer:
-3y +7x = 14
Step-by-step explanation:
The inverse relation is found by swapping the x- and y-variables. The relation that is the inverse of ...
-3x +7y = 14 . . . . given relation
is
-3y +7x = 14 . . . . inverse relation
Answer:
<em>793 food hampers were distributed</em>
Step-by-step explanation:
We need to find how many food hampers were distributed in a typical week, knowing that
- 200 hampers were distributed on Mondays
40 fewer hampers were distributed on Tuesdays than on Mondays, thus:
- 160 hampers were distributed on Tuesdays
on Wednesdays, the volume is 1.3 times Tuesday’s volume, thus 160*1.3=
- 208 hampers were distributed on Wednesdays
on Thursdays the number of hampers distributed was 3/4 of Monday’s volume, thus 3/4*200=
- 150 hampers were distributed on Thursdays
on Fridays, 50% of Thursday’s volume was distributed, therefore 50%*150=
- 75 hampers were distributed on Fridays
The total number of food hampers distributed in the week is
200+160+208+150+75=793
793 food hampers were distributed
Answer:
Yes the triangles are congurant.
Step-by-step explanation:
Because if you can see up and down triangles this means they are congurent.
