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ipn [44]
3 years ago
13

A circle is divided into three arcs of measures x 2x and 3x what’s the value of x

Mathematics
1 answer:
lidiya [134]3 years ago
8 0

Answer:

60°

Step-by-step explanation:

This questions tests our knowledge on arcs and arc measures.

-Arc measure is the angle that an arc makes with the circle's center.

-The arc measure is proportional to the arc.

#The sum of the 3 arcs is x+2x+3x=6x

Given a circle has 360°, the arc measurement x can be calculated as:

[x+2x+3x]=360\textdegree\\\\6x=360\textdegree\\\\x=60\textdegree

Hence, the arc measurement x is 60°

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Solve similar triangles (advanced)<br> Solve for x<br> x=?
lesya692 [45]

Answer:

x = 1.2

Step-by-step explanation:

AD/AB = DE/BC (Similarity Theorem)

AD = 6 + 4 = 10

AB = 6

DE = 2

BC = x

Plug in the values

10/6 = 2/x

Cross multiply

10*x = 2*6

10x = 12

Divide both sides by 10

x = 12/10

x = 1.2

8 0
3 years ago
C(25,10)<br> Find permutation and combination
Verizon [17]

C(25,10)= 3268760

P(25,10)=11861676288000

hope it helps but these are very big numbers :d

6 0
3 years ago
50 points find the area
mixer [17]

Answer:

  • B. 84 in²

Step-by-step explanation:

Split the area into two sections by extending 6 in segment.

We get a rectangle of 5 in x 10 in and a trapezoid.

<u>Rectangle:</u>

  • A = wl
  • A = 5*10 = 50 in²

<u>Trapezoid:</u>

  • A = 1/2(b₁ + b₂)h
  • A = 1/2((15 - 5) + 7)*(10 - 6) = 1/2*17*4 = 34 in²

<u>Total area:</u>

  • 50 + 34 = 84 in²
4 0
2 years ago
Read 2 more answers
Zahra compares two wireless data plans. Which equation gives the correct value of n, the number of GB, for which Plans A and B c
Elden [556K]

The equation which gives the correct value of n, the number of GB, for which Plans A and B cost the same is 8n = 20 + 6(n-2)

To determine which equation gives the correct value of n, the number of GB, for which Plans A and B cost the same, we will first solve the equations.

  • For the first equation

8n = 20 + 6n

Collect like terms

8n - 6n = 20

2n = 20

Then, n = 20 ÷ 2

n = 10 GB

For Plan A

No initial fee and $8 for each GB

Here, 10GB will cost 10 × $8 = $80

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, 10GB will cost $20 + (8 × $6) = $20 + $48 = $68

∴ Plans A and B do not cost the same here.

  • For the second equation

8n = 20(2n) + 6

First, clear the bracket

8n = 40n + 6

Now, collect like terms

40n - 8n = 6

42n = 6

∴ n = 6 ÷ 42

n = 1/7 GB

For Plan A

No initial fee and $8 for each GB

Here, 1/7GB will cost 1/7 × $8 = $1.14

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, 1/7GB will cost $20 (Since the lowest cost is $20)

∴ Plans A and B do not cost the same here.

  • For the third equation

8n = 20 + 6(n-2)

First, clear the brackets

8n = 20 + 6n - 12

Now, collect like terms

8n - 6n = 20 - 12

2n = 8

n = 8 ÷ 2

n = 4 GB

For Plan A

No initial fee and $8 for each GB

Here, 4GB will cost 4× $8 = $32

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, 4GB will cost $20 + (2 × $6) = $20 + $12 = $32

Plans A and B do not cost the same here.

∴ Plans A and B do cost the same here

  • For the fourth equation

8n = 20 + 2n + 6

Collect like terms

8n - 2n = 20 + 6

6n = 26

n = \frac{26}{6}

n = \frac{13}{3} GB or 4\frac{1}{3} GB

For Plan A

No initial fee and $8 for each GB

Here, \frac{13}{3} GB will cost \frac{13}{3}  × $8 = $34.67

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, 4\frac{1}{3}GB will cost $20 + ( 2\frac{1}{3}× $6) = $20 + $14 = $34

∴ Plans A and B do not cost the same here.

Hence, the equation which gives the correct value of n, the number of GB, for which Plans A and B cost the same is 8n = 20 + 6(n-2)

Learn more here: brainly.com/question/9371507

6 0
2 years ago
If the divisor is 40 what is the least three-digit dividend tag would give a remainder of 4
fgiga [73]
Let the three digit dividend be abc , 

then abc = 40*Q+4

So, abc is "40 times Q (the quotient, a number) plus 4"

we try a few values of Q for which 40Q+4 is a 3 digit number:

for Q=2

40*2+4=80+4=84

for Q=3

40*3+4=120+4=124

Answer: 124
4 0
3 years ago
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