Answer:
x = 22.5
Step-by-step explanation:
Vertical angles are congruent by the vertical angles theorem. Therefore is angle G is 45 degrees, then that means that angle H must be 45 degrees as well.
The value of x can be found by making the expression that represents angle H (2x) equal to 45 in an equation to solve for x.
2x = 45
Divide both sides by 2.
x = 22.5
Answer:
Controlled Experiment
Step-by-step explanation:
The controlled experiment involves the experiment in which all factors are considered as constants whereas one factor is not fixed and that one is independent variable whose effect is to be tested. In short, in controlled experiment one group of data contains control group and one or more other groups are examined by considering all other factors constant except for one factor. The control group is the group that doesn't receive any treatment whereas treatment is applied to experimental group and then effect of treatment is measured through comparing both groups.
Here group of boys is divided in to two groups
The group watched violent cartoon= Experimental group
The group watched cartoons without violence= Control group
The researchers want to know whether the violent actions of boys are linked to violent cartoon and for this purpose these boys are divided into experimental group and control group and after 1 hour of cartoons watching the researcher will observed boys for next two hours.
Hence the study is Controlled experiment.
Answer:
![The\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ \frac{26}{3}.](https://tex.z-dn.net/?f=The%5C%20value%5C%20of%5C%20%5Cfrac%7B6%20%5Cfrac%7B1%7D%7B2%7D%7D%7B%5Cfrac%7B3%7D%7B4%7D%7D%20%5C%20is%5C%20%5Cfrac%7B26%7D%7B3%7D.)
![The\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ 8.67 (Approx).](https://tex.z-dn.net/?f=The%5C%20value%5C%20of%5C%20%5Cfrac%7B6%20%5Cfrac%7B1%7D%7B2%7D%7D%7B%5Cfrac%7B3%7D%7B4%7D%7D%20%5C%20is%5C%208.67%20%28Approx%29.)
Step-by-step explanation:
As given
![Monique\ made\ several\ batches\ of\ soup\ for\ a\ potluck\ supper.](https://tex.z-dn.net/?f=Monique%5C%20made%5C%20several%5C%20batches%5C%20of%5C%20soup%5C%20for%5C%20a%5C%20potluck%5C%20supper.)
![Each\ batch\ required\ \frac{3}{4}\ of\ a\ pound\ of\ potatoes.](https://tex.z-dn.net/?f=Each%5C%20batch%5C%20required%5C%20%5Cfrac%7B3%7D%7B4%7D%5C%20of%5C%20a%5C%20pound%5C%20of%5C%20potatoes.)
![she\ used\ a\ total\ of\ 6 \frac{1}{2}\ pounds\ of\ potatoes.](https://tex.z-dn.net/?f=she%5C%20used%5C%20a%5C%20total%5C%20of%5C%206%20%5Cfrac%7B1%7D%7B2%7D%5C%20pounds%5C%20of%5C%20potatoes.)
As given the expression.
![= \frac{6 \frac{1}{2}}{\frac{3}{4}}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B6%20%5Cfrac%7B1%7D%7B2%7D%7D%7B%5Cfrac%7B3%7D%7B4%7D%7D)
![= \frac{\frac{13}{2}}{\frac{3}{4}}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B%5Cfrac%7B13%7D%7B2%7D%7D%7B%5Cfrac%7B3%7D%7B4%7D%7D)
Solving the above
![= \frac{13\times 4}{2\times 3}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B13%5Ctimes%204%7D%7B2%5Ctimes%203%7D)
![= \frac{26}{3}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B26%7D%7B3%7D)
In the decimal form.
= 8.67 (Approx)
![Therefore\ the\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ \frac{26}{3}.](https://tex.z-dn.net/?f=Therefore%5C%20the%5C%20value%5C%20of%5C%20%5Cfrac%7B6%20%5Cfrac%7B1%7D%7B2%7D%7D%7B%5Cfrac%7B3%7D%7B4%7D%7D%20%5C%20is%5C%20%5Cfrac%7B26%7D%7B3%7D.)
![Therefore\ the\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ 8.67 (Approx).](https://tex.z-dn.net/?f=Therefore%5C%20the%5C%20value%5C%20of%5C%20%5Cfrac%7B6%20%5Cfrac%7B1%7D%7B2%7D%7D%7B%5Cfrac%7B3%7D%7B4%7D%7D%20%5C%20is%5C%208.67%20%28Approx%29.)
Each coin will either land as a head or a tail. - 2 possible results.
for 5 coins its 2*2*2*2*2 = 32 different results.
Answer:
yeeeeeeeeeeee
Step-by-step explanation: