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satela [25.4K]
3 years ago
13

Helpppppppppppppppppppp

Mathematics
1 answer:
nata0808 [166]3 years ago
6 0

Answer:

Step-by-step explanation:

x=100 (vertically opposite angle)

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A circle has a radius of 10 inches. Find the approximate length of the arc intersected by a central angle of 2π/3
Aleksandr-060686 [28]

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Radius of circle = 10 inches

Central angle is given by

\frac{2\pi }{3}

As we know the formula for " Length of an arc " :

Length of arc is given by

l=r\theta\\\\l=10\times \frac{2\pi}{3}\\\\l=10\times \frac{2}{3}\times \frac{22}{7}\\\\l=20.95\ inches

Hence, length of an arc is 20.95 inches.

Hence, Option 'C' is correct.

5 0
3 years ago
Read 2 more answers
Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and sin ∠X = 5 over 5 and 59 hundredths.
Vikentia [17]

The relationship between Traingle XYZ and ACB is that they are similar triangles. tanX = tanA = 5 over 2 and 5 tenths, where

  • AC = 2 x  XY
  • CB = 2 x  YZ

<h3>What is the dilation about?</h3>

Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB, hence XYZ and ACB are similar triangles.

Angles Y and C are said to measure 90 degrees, and angles A and X are known to be congruent. Thus:

tanX = tanA = 5 over 2 and 5 tenths

AC = 2 x  XY

CB = 2 x  YZ

Another way to solve for it is by:

Note that Dilation of the triangle ΔXYZ was by a factor of "2".

Since m∠Y = m∠C = 90º   - given

ΔXYZ and ΔACB are said to be right triangles.

Since ∠X ≅ ∠A   - given

Then ∠X and ∠Z are  said to becomplementary angles

Since m∠Z = 90° - m∠X   -- given

Then ∠A and ∠B are said to be complementary angles

Since m∠B = 90° - m∠A  --- given

Then, ∠Z ≅ ∠B

Therefore ΔXYZ ∼ ΔACB are  similar triangles because it has its corresponding sides to be proportional and its corresponding angles to be congruent.

Note:

sin ∠X = 5/5.59

sin ∠X = YZ/XY

YZ = 5  seen in ΔXYZ

XZ = 5.59 seen in hypotenuse of ΔXYZ

Then one need to Calculate the length of one aspect of XY:

XY = √((5.59)2 - 52)

= 2.4996

Note CB/YZ = 2

CD = 2*YZ = 2 x 5

= 10

AC/XY = 2

AC = 2* XY

= 2 x 2.4996

= 4.999

Learn more about dilation from:

brainly.com/question/27517432

#SPJ1

7 0
2 years ago
Mrs. Gomez is a mother to 2 boys. The number of children she has is three times the number of boys she has. Her children are pla
stiks02 [169]
2*3=6 children Mrs Gomez has

6-2= 4 girls she has

pink carnations/ blue carnations= 4/2=2
⇒ numbers of pink carnations= 2* blue carnations

⇒ 12 pink  carnations and 6 blue carnations

5 0
2 years ago
Read 2 more answers
Is a triangle with 3m 2m 4m a right triangle
lys-0071 [83]

Answer:

Step-by-step explanation:

No it’s not because 4+9 = 16

And 13 < 16 when it has to be 16=16 therefore it is anything but a right triangle

4 0
2 years ago
How do I find the scale factor of a dilation?
kobusy [5.1K]
You simply need to compute the ratio between the length of the segment
and the length of the corresponding segment
7 0
3 years ago
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