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goblinko [34]
2 years ago
7

What is the value of x in the solution to this system of equations? 3x = 2y + 14 y = -6x + 18​

Mathematics
1 answer:
zmey [24]2 years ago
4 0
Use substitution
3x = 2(-6x + 18) + 14
3x = -12x + 36 + 14
3x = -12x + 50
15x = 50, x = 50/15 = 10/3
Solution: x = 10/3
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Jack can build 1/5 of a shed in the same time Kyle build 5/8 of a shed. How much of a shed will jack have built when Kyle has fi
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Answer:

Step-by-step explanation:

If Kyle can get 5/8 of a shed built in x amount of time, he can get 62.5% done; if Jack can get 1/5 of the shed built in the same time, he can 20% of it done. As a ratio:

\frac{Kyle}{Jack}:\frac{62.5}{20}  Kyle gets the whole thing done, 100% of the way, leaving Jack lagging behind at a somewhat lower percentage of the work being done.

\frac{Kyle}{Jack}:\frac{62.5}{20}=\frac{100}{x} and cross multiply to solve for the percentage of the shed built by Jack by the time Kyle gets it completed:

62.5x = 2000 so

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4 0
3 years ago
I need help please i don't get this.
Licemer1 [7]

Answer:

22

Step-by-step explanation:

Points Y and X are are the midpoints of the segments HI and HG respectively.

Therefore,

By Mid-segment formula:

IG = 2*YX = 2* 11 = 22 units

7 0
3 years ago
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The lowest temperature ever recorded in the Southern Hemisphere was -128.6°F. The lowest temperature ever recorded in the Northe
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Answer:

The northern temperature was warmer and by 35 degrees

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4 0
3 years ago
Write a similarity statement comparing the three triangles in the diagram<br> P R S Q
REY [17]

Answer:

The answer is ΔJMK ≈ ΔMLK ≈ ΔJLM ⇒ answer (A)

Step-by-step explanation:

* Lets start with the equal angles i the three triangles

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∵ m∠JKM = 90°

∴ m∠KJM + m∠KMJ = 90 ⇒ (1)

- IN ΔMLK

∵ m∠MKL = 90°

∴ m∠KML + m∠KLM = 90° ⇒ (2)

∵ m∠KMJ + m∠KML = 90° ⇒ (3)

- From (1) , (2) , (3)

∴ m∠KJM = m∠KML

∴ m∠KMJ = m∠KLM

* Now lets check the condition of similarity in the 3 triangles

- At first ΔJMK and ΔMLK

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∵ m∠KJM = m∠KML

∵ m∠KMJ = m∠KLM

∵ m∠JKM = m∠MKL

∴ ΔJMK ≈ ΔMLK ⇒ (4)

- At second ΔJMK and ΔJLM

∵ m∠KJM = m∠MJL

∵ m∠KMJ = m∠MLJ

∵ m∠JKM = m∠JML

∴ ΔJMK ≈ ΔJLM ⇒ (5)

* If two triangles are similar to one triangle, then they are

similar to each other

- From (4) and(5)

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6 0
3 years ago
Based on the diagram which statement must be true
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Answer:

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