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bogdanovich [222]
3 years ago
14

I really need help with this question

Mathematics
2 answers:
Step2247 [10]3 years ago
7 0

Answer:

option (b) -3(3w-3.1)

stealth61 [152]3 years ago
3 0

Answer:

b

Step-by-step explanation:

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*In ∆ABC, on the extension of the side BC , draw a line segment CD ≅ CA . Draw the segment AD . The line segment CE is the angle
Leya [2.2K]

CE ⊥ CF because m∠ECA + m∠FCA = 90°

Step-by-step explanation:

In ∆ABC

  • On the extension of the side BC , draw a line segment CD ≅ CA
  • Draw the segment AD
  • The line segment CE is the angle bisector of ∠ACB
  • The line segment CF is the median towards AD in ∆ ACD

We want to prove that CF ⊥ CE

Look to the attached figure

In Δ ABC

∵ CE is the bisector of angle ACB

∴ ∠ACE ≅ ∠BCE

In Δ ACD

∵ CA = CD

∴ Δ ACD is an isosceles triangle

∵ AD is the median towards AD

- In any isosceles triangle the median from a vertex to its opposite

  side bisects this vertex

∴ AD bisects ∠ACD

∴ ∠ACF ≅ ∠DCF

∵ BCD is a straight segment

∵ CE , CA , CF are drawn from point C

∴ m∠BCE + m∠ACE + m∠ACF + m∠DCF = 180°

∵ m∠ACE ≅ m∠BCE

∵ m∠ACF ≅ m∠DCF

- Replace m∠BCE by m∠ACE and m∠DCF by m∠ACF

∴ m∠ACE + m∠ACE + m∠ACF + m∠ACF = 180°

∴ 2 m∠ACE + 2 m∠ACF = 180°

- Divide all terms by 2

∴ m∠ACE + m∠ACF = 90°

∴ EC ⊥ CF

CE ⊥ CF because m∠ECA + m∠FCA = 90°

Learn more:

You can learn more about perpendicular lines in brainly.com/question/11223427

#LearnwithBrainly

7 0
3 years ago
PLEASE ANSWER FAST IM FAILING MATH!!!
posledela

Answer:

Step-by-step explanation:

From the figure attached,

Point B has been dilated to form point B'.

B(3, 1) → B'(6, 2)

          → B'[(2 × 3), (2 × 1)]

Since rule for the dilation of a point (x, y) by a factor of k is,

B(x, y) → B'(kx, ky)

By comparing the coordinates k = 2 is the scale factor by which the point B has been dilated about the origin.

Therefore, other vertices of the quadrilateral will be,

A(-2, 3) → A'(-4, 6)

C(1, -1) → C'(2, -2)

D(-3, -2) → D'(-6, -4)

4 0
3 years ago
Simplify: a4b3 × a2b5c3
Yuri [45]

Answer:

B. a6b8c3

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Factor each polynomial 6m^2-15m
stellarik [79]
You can do prime factorization then find common factors to factor out.

6m² - 15m

2·3·m·m - 3·5·m

Both terms have 3·m so we can factor it out:

3·m (2·m - 5)

So that would be 3m (2m - 5)
6 0
3 years ago
Which Relationship Has A Unit Rate Of 60 Per Hour ?
Minchanka [31]
Just divide them and see which one gives you 60.

300 / 6 = 50
300 / 5 = 60
240 / 6 = 40
240 / 5 = 48

Therefore B has a unit rate of 60 MPH.
5 0
3 years ago
Read 2 more answers
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