Answer:
x = 9
Step-by-step explanation:
A line segment parallel to a side of a triangle and intersecting the other 2 sides divides the 2 sides in proportion, that is
= 
= 
( cross- multiply )
8(3x - 20) = 56
24x - 160 = 56 ( add 160 to both sides )
24x = 216 ( divide both sides by 24 )
x = 9
Answer:
46.66...% Males.
Step-by-step explanation:
Total males: 14
Total females: 16
Overall total: 30
14 ÷ 30 = 0.466... x 100 = 46.66%
Answer:
Step-by-step explanation:
The colony of Pennsylvania was established by William Penn as a 'Holy Experiment'. It was given to him by the king in 1681, in payment of a debt he had to Penn's father. Amongst the other English colonies, Penn was the first leader of his colony that established peace with the natives. Then Penn made a peace treaty with the Leni lenape indians, and bought land from them. He hadn't needed to, but did anyways, and it was this act, as well as other kind acts towards the natives that formed peace between them. This also ensured a prosperous beginning for the new settlers of Pennsylvania, as the natives helped them with their crops, learning the way of the land and many such other useful things. Neither did they have wars that hurt the population. This is one of the reasons I'd want to live there, it is always good to have good relations, know what I mean? Philadelphia also means "Brotherly Love", I mean, who doesn't want to live in a place with such a groovy name?
The government was unlike that in most of the colonies in The New World. It allowed freedom of religion, even though Penn was a Quaker, and they tolerated everyones' individual beliefs. This also influenced the US's acceptance of every race and nationality. Legislative power in Pennsylvania was given to those elected by the colony. It gave people the freedom of choice, under the Concession. Thus the people were allowed a format of political freedom. The Frame of Government also proclaimed that capital punishment was to be given to those who had committed murder and crimes within that scope. Then in 1775 Pennsylvania was governed as a Proprietary Colony.Though this political view did not last forever, the time of prosperity under these laws was great. The United States Constitution is the supreme law of the United States of America. The Constitution, originally comprising seven articles, delineates the national frame of government, and it is mainly influenced by Philadelphia's form of government.
I hope that is what you're looking for, and it was enough info! :D
Answer:
He does not have enough money for the second veggie cups, he's just about a dollar fifty short.
Step-by-step explanation:
By doing the math problem, you'll see that he is 1.48 short of having the necessary amount of money. Not enough to buy everything he wants.
Answer:
m∠UVW = 53°
Step-by-step explanation:
From the picture attached,
m(∠VTU) = (x - 2)°
m(∠TUV) = (2x + 11)°
m(∠UVW) = (6x - 15)°
Since, ∠UVW is the exterior angle of the ΔTUV,
By the triangle sum theorem,
m∠VTU + m(∠TUV) + m(∠UVW) = 180°
(x - 2)° + (2x + 11)° + (6x - 15)° = 180°
9x - 6 = 180
9x = 186
x = 
x = 
By the property of exterior angle of a triangle,
m(∠UVW) = m(∠VTU) + m(TUV)
= (x - 2) + (2x + 11)
= 3x - 9
Now by substituting the value of x,
(3x - 9)° = 
= 62 - 9
= 53°
Therefore, m∠UVW = 53°
