Mathematics High School

In △ABC, BM is a median, △BMC is equilateral and MC = 3cm. Through M is drawn line l∥AB that intersects CB at point N. Find:
- m∠ABC
- The distance from C to AB
- The distance from l to AB

In ABC, BM Is A Median, BMC Is Equilateral And MC = 3cm. Through M Is Drawn Line LAB That Intersects

Answers

Answer 1

Answer:

m∠ABC = 60°

The distance from C to AB = 3 cm

The distance from l to AB = 1.5 cm

Step-by-step explanation:

The median of ΔABC = BM

The length of MC = 3 cm

Type of triangle given as ΔBMC  = Equilateral triangle

Line MN is parallel to AB and passes through M intersecting CB at N

Given that BM is a median, we have;

MC = AM = 3 cm

BM  = MC = CB = 3 cm, from ΔBMC  = Equilateral triangle

CN = NB by midpoint theorem

∴ CB = CN + NB = 2·CN = 3 cm

The distance from C to AB = CB = 3 cm

The distance from C to AB = 3 cm

CN = 3/2 = 1.5

CN = NB = 1.5

The distance from l to AB = CN = 1.5 cm

The distance from l to AB = 1.5 cm

m∠ABC = m∠BMC = m∠MBC = 60° Interior angles of an equilateral triangle.

m∠ABC = 60°

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Step-by-step explanation:

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Answers

Answer:

See below

Step-by-step explanation:

Part A

Let number of days be d, then the equation is:

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Solution of the equation

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Answers

Answer:

√194 i think

Step-by-step explanation:

Answer:

[tex]\boxed {d = \sqrt{194}}[/tex]

Step-by-step explanation:

Use the Distance Formula to help you find the distance between the two given points:

[tex]d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]

First point: [tex](x_{1}, y_{1})[/tex]

Second point: [tex](x_{2}, y_{2})[/tex]

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First point: [tex](3, 9)[/tex]

Second point: [tex](-10, 4)[/tex]

[tex]d = \sqrt{(-10 - 3)^{2} + (4 - 9)^{2}}[/tex]

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[tex]d = \sqrt{(-10 - 3)^{2} + (4 - 9)^{2}}[/tex]

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Step-by-step explanation:

The rectangle has length 8 cm and area 48 cm2.
The perimeter of the square is the same as the perimeter of the rectangle.

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Answers

Step-by-step explanation:

Given,

length of rectangle(l)= 8cm

area of rectangle(A) = 48cm2

breadth of rectangle(b) = ?

Perimeter of rectangle (P)=?

We know ,

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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