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allochka39001 [22]
3 years ago
5

Find the distance between the points (4,-1) and (-5,2)

Mathematics
1 answer:
kherson [118]3 years ago
4 0

Answer:

Exact Form:

3√10

Decimal Form:

9.48683298

Step-by-step explanation:

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If you were to reflect them, the answer would be the same numbers with the opposite sign. Therefore, the answer should be (2,-6) hope that helped!!!!
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Draw as many different triangles as possible that have two sides of length 4 cm and a 45∘ angle. How many can you draw?
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The answer is 3 sorry if it’s wrong
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I need to know the answer
makkiz [27]

Step-by-step explanation:

3k + 2k - 6 = 8k + 3

8k - 3k - 2k = - 6 - 3

8k - 5k = -9

3k = - 9

k = - 9/ 3

K = - 3

Hope it will help you :)

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Step-by-step explanation:

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In the circle below, AD is a diameter and AB is tangent at A. suppose mADC=228. Find the measures of mCAB and mCAD. Type your nu
Tju [1.3M]

Answer:

m∠CAB = 66°

m∠CAD = 24°

Step-by-step explanation:

<em>m∠CAB</em>

The given parameters are;

The measure of arc m\widehat{ADC} = 228°

The diameter of the given circle = \overline{AD}

The tangent to the circle = \underset{AB}{\leftrightarrow}

The measure of m∠CAB and m∠CAD = Required

By the tangent and chord circle theorem, we have;

m∠CAB = (1/2) × m\widehat{AC}

However, we have;

m\widehat{AC} + m\widehat{ADC} = 360° the sum of angles at the center of a circle is 360°

∴ m\widehat{AC} = 360° - m\widehat{ADC}

Which gives;

m\widehat{AC} = 360° - 228° = 132°

m\widehat{AC} = 132°

Therefore;

m∠CAB = (1/2) × 132° = 66°

m∠CAB = 66°

<em>m∠CAD</em>

Given that  \overline{AD} is the diameter of the given circle, we have

The tangent, \underset{AB}{\leftrightarrow}, is perpendicular to the radius of the circle, and therefore \underset{AB}{\leftrightarrow} is also perpendicular to the diameter of the circle

∴ m∠DAB = 90° which is the measure of the angle formed by two perpendicular lines

By angle addition property, we have;

m∠DAB = m∠CAB + m∠CAD

∴ m∠CAD =  m∠DAB - m∠CAB

By substitution, we have;

m∠CAD = 90° - 66° = 24°

m∠CAD = 24°

7 0
2 years ago
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