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3 years ago

Assemble the proof by dragging tiles to the statements HELLPPPPPP PLEASEEEE

Mathematics

2 answers:

TEA [102]3 years ago

8 0

Answer:

See explanation

Step-by-step explanation:

1. $JK\cong LM$ - given

2. $JL\cong LN$ - definition of midpoint (the midpoint of the segment divides the segment into two congruent segments)

3. $\angle LJK\cong \angle NLM$ - corresponding angles theorem (corresponding angles theorem states: If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.)

4. $\triangle JLK\cong \triangle LNM$ - SAS (SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent).

solong [7]3 years ago

6 0

Step-by-step explanation:

Triangle Congruence :SAS

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The owner of a cattle ranch would like to fence in a rectangular area of 3000000 m^2 and then divide it in half with a fence dow

Reika [66]

If you notice the picture below, the amount of fencing, or perimeter, that will be used will be 3w + 2l

now $\bf \begin{cases}
A=l\cdot w\\\\\
A=3000000\\
----------\\
3000000=l\cdot w\\\\
\frac{3000000}{w}=l
\end{cases}\qquad thus
\\\\\\
P=3w+2l\implies P=3w+2\left( \cfrac{3000000}{w} \right)\implies P=3w+\cfrac{6000000}{w}
\\\\\\
P=3w+6000000w^{-1}\\\\
-----------------------------\\\\
now\qquad \cfrac{dP}{dw}=3-\cfrac{6000000}{w^2}\implies \cfrac{dP}{dw}=\cfrac{3w^2-6000000}{w^2}
\\\\\\
\textit{so the critical points are at }
\begin{cases}
0=w^2\\\\
0=\frac{3w^2-6000000}{w^2}
\end{cases}$

solve for "w", to see what critical points you get, and then run a first-derivative test on them, for the minimum

notice the $0=w^2\implies 0=w$ so. you can pretty much skip that one, though is a valid critical point, the width can't clearly be 0

so.. check the critical points on the other

8 0

3 years ago

Simplify the expression. 6(7n – 5m) + 8m

borishaifa [10]

6(7n – 5m) + 8m
42n - 30m + 8m
42n -22m
Answer: 42n-22m

7 0

3 years ago

Read 2 more answers

What the answer asap

Elan Coil [88]

20 qt = 80 c is ur answer. Hope this helps

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3 years ago

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Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D'E'F'G'H'I':

SVETLANKA909090 [29]

Answer:

(x, y)→(x − 8, y − 7)

Step-by-step explanation:

If we take the hexagon DEFGHI coordinates and apply the rule (x, y)→(x − 8, y − 7) we get:

D (2, 5) → (2 - 8, 5 - 7) = (-6, -2) which corresponds to point D'

E (5, 5) → (5 - 8, 5 - 7) = (-3, -2) which corresponds to point E'

F (6, 3) → (6 - 8, 3 - 7) = (-2, -4) which corresponds to point F'

G (5, 1) → (5 - 8, 1 - 7) = (-3, -6) which corresponds to point G'

H (2, 1) → (2 - 8, 1 - 7) = (-6, -6) which corresponds to point H'

I (1, 3) → (1 - 8, 3 - 7) = (-7, -4) which corresponds to point I'

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3 years ago

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The circumference of a circle is 6 pi cm what is the length of an arc of 140 degree

ValentinkaMS [17]

Since the total circumference of the circle is 60 pi cm which passes around 360˚, the length of an arc of 140˚ will be equal to 140/360 = 7/18 times the total length:
l = (7/18) * 60 pi cm = 23.3 pi cm

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3 years ago