All categories

2 years ago

Giving Brainliest to who can solve!

Mathematics

1 answer:

son4ous [18]2 years ago

7 0

Answer:

NF = 16

Step-by-step explanation:

Since N is the incenter of ΔABC then ND = NE = NF

ND = NE ⇔ 6x - 2 = 3x + 7 ⇔ 6x - 3x = 7 + 2 ⇔ 3x = 9 ⇔ x = 3

Now , we calculate ND:

ND = 6(3) - 2 = 18 - 2 = 16

and because NF = ND then NF is also equal to 16

You might be interested in

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

Are the two figures congruent (I don’t know if they are because one is rotated)

Vladimir79 [104]

Answer:

Yes they are

Step-by-step explanation:

Conguent shapes are still conguent even if rotated and flipped. As long as their angles and length of sides are the same, they are congruent

4 0

3 years ago

Read 2 more answers

Anyone could help with the answer?

tatuchka [14]

Step-by-step explanation:

sorry but i need points Thank you

7 0

3 years ago

Simplify: 45÷3+2×8-12+30

Phantasy [73]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is 9| - z/3| + 6 < 30

Reil [10]

9|⁻¹/₃z| + 6 < 30
9|⁻¹/₃z| + 6 < ±30
9|⁻¹/₃z| + 6 < 30 or 9|⁻¹/₃z| + 6 > -30
9(¹/₃z) + 6 < 30 or 9(¹/₃z) + 6 > -30
3z + 6 < 30 or 3z + 6 > -30
- 6 - 6 - 6 - 6
3z < 24 or 3z > -24
3 3 3 3
z < 8 or z > -8

Solution Set: {z|z < 8 or z > -8} and (-∞, 8) or (-8, ∞)

4 0

3 years ago

Read 2 more answers