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lapo4ka [179]
3 years ago
8

Given that L is the centroid of triangle FGH, find LG.

Mathematics
1 answer:
olga55 [171]3 years ago
5 0
Well the centroid is the point that connects the median of a side with the opposite vertex. This means that each line is split i half. Notice that line HG is split in half by point K. that means that each of the segments that K splits is equal. so we know
HK = KG

and we know
HK = 3x
KG = x + 8

since
HK = KG then
3x = x + 8
2x = 8
x = 4

now we have x. we know that the each line that runs from a midpoint to a vertex is seperated by the centroid. the 2 line segments are a 2:1 ratio. so
2*JL = 1LG

we know
JL = x + 3

so
2 * (4 + 3) = LG
LG = 14
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Sladkaya [172]
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7 0
3 years ago
Nichior compared the slope of the function graphed to the slope of the linear function that has an x-intercept of 2/3 and a y-in
marusya05 [52]

Answer:

The slope of f(x) is 1.5

Step-by-step explanation:

step 1

Find the slope of the linear function that has an x-intercept of 2/3 and a y-intercept of -1

so

we have the points

(2/3,0) and (0,-1)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{-1-0}{0-2/3}

m=\frac{-1}{-2/3}

m=\frac{3}{2}=1.5

step 2

Find the slope of the function graphed

take the points

(0,-1) and (3,6)  approximately

substitute in the formula

m=\frac{6+1}{3-0}

m=\frac{7}{3}=2.33

step 3

we know that

f(x) represents the function with the smaller slope

The smaller slope is 1.5

therefore

The slope of f(x) is 1.5

4 0
3 years ago
What is the area of this figure?
nalin [4]

Answer:

<em>290.5 square miles</em>

Step-by-step explanation:

Consider splitting this figure into two mini rectangles and a triangle, each of given lengths;

Dimensions of Rectangle 1 - Height ; 5 mi, Length ; 7 mi,\\Area of Rectangle 1 - Height * Length = 5 mi * 7 mi = 35 mi^2\\\\Dimensions of Rectangle 2 - Height ; 18 mi, Length ; 8 mi,\\Area of Rectangle 2 - Height * Length = 23 mi * 8 mi = 184 mi^2\\\\Dimensions of Mini Right Triangle - Height ; 11 mi, Base ; 8 + 5 = 13 mi,\\Area of Mini Right Triangle - 1 / 2 * Base * Height = 1 / 2 * 13 mi * 11 mi = 71.5 mi^2,\\\\Area of Figure = 35 mi^2 + 184 mi^2 + 71.5 mi^2 = 290.5 square miles

<em>Solution; 290.5 square miles</em>

4 0
3 years ago
Absolute Bagels makes bagels using two different recipes, one recipe for regular bagels
shutvik [7]

Answer:

At its most basic, traditional bagel dough contains wheat flour (without germ or bran), salt, water, and yeast leavening. Bread flour or other high gluten flours are preferred to create the firm, dense but spongy bagel shape and chewy texture.

Step-by-step explanation:

A bagel (Yiddish: בײגל, romanized: beygl; Polish: bajgiel; also historically spelled beigel)[1] is a bread product originating in the Jewish communities of Poland. It is traditionally shaped by hand into the form of a ring from yeasted wheat dough, roughly hand-sized, that is first boiled for a short time in water and then baked. The result is a dense, chewy, doughy interior with a browned and sometimes crisp exterior. Bagels are often topped with seeds baked on the outer crust, with the traditional ones being poppy and sesame seeds. Some may have salt sprinkled on their surface, and there are different dough types, such as whole-grain and rye.

The earliest known mention of a boiled-then-baked ring-shaped bread can be found in a 13th-century Arabic cookbook, where they are referred to as ka'ak.[4] Today, bagels are widely associated with Ashkenazi Jews from the 17th century; it was first mentioned in 1610 in Jewish community ordinances in Kraków, Poland.Bagel-like bread known as obwarzanek was common earlier in Poland as seen in royal family accounts from 1394.

Bagels are now a popular bread product in North America and Poland, especially in cities with a large Jewish population, many with alternative ways of making them. Bagels are also sold (fresh or frozen, often in many flavors) in supermarkets.

The basic roll-with-a-hole design is hundreds of years old and has other practical advantages besides providing more even cooking and baking of the dough: The hole could be used to thread string or dowels through groups of bagels, allowing easier handling and transportation and more appealing seller displays.

8 0
2 years ago
PLEASE ANSWER ASAP! REALLY IMPORTANT! MUST BE CORRECT! POINTS GIVEN!
VMariaS [17]
 - 5/12  +  ( - 1/4) = 

Adding two negatives results in a negative

-1/4 = -3/12

-3/12 + -5/12  =  -8/12

-8/12 + 3/12    < Subtract and take the sign of the BIGGER number.

8 - 3 = 5

- 5/12

Answer:  - 5/12
8 0
2 years ago
Read 2 more answers
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