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AleksAgata [21]
3 years ago
7

Just need help on this one problem about a triangle

Mathematics
1 answer:
Rainbow [258]3 years ago
4 0

Given:

ΔABC is an equilateral triangle.

AB = 7.5x, BC = 6x + 3 and CA = 10x - 5

To find:

The value of x.

Solution:

In equilateral triangle, all sides are equal.

AB = BC = CA

7.5x=6x + 3 = 10x - 5

Take any two sides only:

AB = BC

7.5 x=6 x+3

Subtract 6x from both sides.

7.5 x-6 x=6x+3-6x

1.5 x=3

Divide by 1.5 on both sides.

$\frac{1.5 x}{1.5}=\frac{3}{1.5}

x=2

The value of x is 2.

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2 years ago
Mal spends 7 hours in school each day. Her lunch period is 1 hour long, and she spends a
Alex787 [66]

Answer:

z = 5*(1/2)

z = 5/10

---

time switching classes:

w = 7/10

---

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (76/10 - 5/10 - 7/10)/6

x = (76 - 5 - 7)/(10*6)

x = (64)/(10*6)

x = (2*2*2*2*2*2)/(2*5*2*3)

x = (2*2*2*2)/(5*3)

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---

check:

y = 7 + 3/5

y = 7.6

z = 1/2

z = 0.5

w = 7/10

w = 0.7

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (7.6 - 0.5 - 0.7)/6

x = 1.0666666666

---

answer:

z = 5*(1/2)

z = 5/10

---

time switching classes:

w = 7/10

---

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (76/10 - 5/10 - 7/10)/6

x = (76 - 5 - 7)/(10*6)

x = (64)/(10*6)

x = (2*2*2*2*2*2)/(2*5*2*3)

x = (2*2*2*2)/(5*3)

x = 16/15

x = 1.0666666666

---

check:

y = 7 + 3/5

y = 7.6

z = 1/2

z = 0.5

w = 7/10

w = 0.7

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (7.6 - 0.5 - 0.7)/6

x = 1.0666666666

---

answer:

each class is 1.07 hours

Step-by-step explanation:

8 0
2 years ago
Which exponential equation is equivalent to this logarithmic equation log x5 + log x12 =7
trapecia [35]

Answer:

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Step-by-step explanation:

<u>Given</u><u> </u><u>:</u><u>-</u><u> </u>

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<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u><u> </u>

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Answer:

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c = √196

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Answer:

The diagonal  is about 14 m

8 0
3 years ago
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