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AleksandrR [38]
3 years ago
6

Given:

Mathematics
2 answers:
anygoal [31]3 years ago
7 0

<u><em>HF = 6 </em></u>

idk why people are saying its 4

mixas84 [53]3 years ago
6 0
The fact that the largest triangles are similar and that HF and LJ are medians, we know that triangle HFE and triangle LJI are congruent.
Similarity allows us to set up proportions of congruent sides.
(Write these fractions vertically and solve.
9/6 = (x + 2)/(2x - 4)

9(2x - 4) = 6(x + 2)
18x - 36 = 6x + 12
-6x. -6x
12x - 36 = 12
+36. +36
12x = 48
x = 4 ...... but WAIT! HF = x + 2 so 4 + 2 = 6
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LekaFEV [45]

Answer:

The equation in standard form is:

x^2-40x-6000 = 0

Step-by-step explanation:

Let the length of the field be x yards.

Now the width of the field is 40 yards less than the length of the field.

Thus, the width of the field would be (x-40) yards

Now, to calculate the area of the field, we simply multiply the length of the field by the width of the field.

Hence;

Since the shape is rectangular, the area is the product of the length and that of the width

x(x-40) =6,000

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x^2-40x-6000 = 0

4 0
3 years ago
X + 2y = 33<br> x-y = 11
Tasya [4]

Answer:

x=\frac{55}{3},\:y=\frac{22}{3}

Step-by-step explanation:

Solve by Substitution ;

\begin{bmatrix}x+2y=33\\ x-y=11\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:x+2y=33:\quad x=33-2y\\\\\mathrm{Subsititute\:}x=33-2y\\\\\begin{bmatrix}33-2y-y=11\end{bmatrix}\\\\Simplify\\\begin{bmatrix}33-3y=11\end{bmatrix}\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:33-3y=11:\quad y=\frac{22}{3}\\\mathrm{For\:}x=33-2y\\\\\mathrm{Subsititute\:}y=\frac{22}{3}\\x=33-2\times\frac{22}{3}\\\\x=\frac{55}{3}\\\\x=\frac{55}{3},\:y=\frac{22}{3}

7 0
3 years ago
24) You want to save $500 for a school trip. You begin by saving a penny on the first day. You plan to save an additional penny
Anvisha [2.4K]

Answer:

Well, one penny adds up quickly. In a year, you can save nearly £700 by putting just 1p away in day one, 2p in day two….you get the idea. For a normal (365 day) year you can save £667.95, and in a leap year you can save £671.61.

Step-by-step explanation:

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7 0
2 years ago
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2 years ago
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