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3 years ago

Whats the value of x

Mathematics

1 answer:

Pani-rosa [81]3 years ago

6 0

An outside angle is equal to the sum of the two opposite inside angles.

The two opposite inside angles from X are 63 and 46.

X = 63 + 46 = 109 degrees.

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Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3

Nat2105 [25]

Question:

Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3 1/2 inches long. The scale of the floor plan is 1/4 inch = 1 foot. What is the actual length of Hector’s room?

Answer:

The actual length of Hector room is 14 foot

Solution:

Given that, On the floor plan, his bedroom is 3 inches wide and $3\frac{1}{2}$ inches long

The scale of floor plan is given as:

$\frac{1}{4} \text{ inch} = 1 \text{ foot }$

Therefore,

$1 \text{ inch } = 4 \text{ foot}$

To find: Actual length of floor

From given question,

$length = 3\frac{1}{2} \text{ inches}$

Converting the mixed fraction to improper fraction,

$length = \frac{2 \times 3 + 1}{2} = \frac{7}{2} \text{ inches }$

Since, 1 inch = 4 foot

$\frac{7}{2} \text{ inches } = \frac{7}{2} \times 4 \text{ foot } = 14 \text{ foot }$

Thus actual length of Hector room is 14 foot

6 0

3 years ago

The sum of 4 consecutive integers is 406. find the integers

BabaBlast [244]

Answer and Step-by-step explanation:

When trying to figure this out, we know that the numbers have to be one after the other, like 1, 2, 3, 4, or 55. 56, 57, 58. The last digit in the numbers also have to add to 6.

The answer is:

100 + 101 + 102 + 103

It adds up to 406, and the integers are consecutive.

#teamtrees #PAW (Plant And Water)

I hope this helps!

8 0

2 years ago

Read 2 more answers

Simplify 7 square root of 3 end root minus 4 square root of 6 end root plus square root of 48 end root minus square root of 54

Katen [24]

$7\sqrt3-4\sqrt6+\sqrt{48}-\sqrt{54}\\\\=7\sqrt3-4\sqrt6+\sqrt{16\cdot3}-\sqrt{9\cdot6}\\\\=7\sqrt3-4\sqrt6+\sqrt{16}\cdot\sqrt3-\sqrt9\cdot\sqrt6\\\\=7\sqrt3-4\sqrt6+4\sqrt3-3\sqrt6\\\\=\boxed{11\sqrt3-7\sqrt6}$

3 0

3 years ago

If a 2 centimeter cube is placed inside a box that is 9 cm by 5 cm by 8cm ,

Bumek [7]

Answer:

360 cm3

Step-by-step explanation:

Option d is the right answer

8 0

3 years ago

F(x)= 20 + 12(x - 2)

Vinvika [58]

Answer:

f(x) = 12x - 4

Step-by-step explanation:

f(x)= 20 + 12(x - 2)

Distribute

f(x) =20 +12x - 24

Combine like terms

f(x) = 12x+20-24

f(x) = 12x - 4

4 0

3 years ago

Read 2 more answers