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GuDViN [60]
3 years ago
7

A pair of vertical angles may also form a linear pair true or false

Mathematics
1 answer:
AVprozaik [17]3 years ago
8 0
This statement is obviously FALSE because the vertical angles are congruent, whatever is the measure of one the two angle, but the linear pair is two angles that lie next to each other and their measures add up to 180 degrees. The linear pair is also a pair of adjacent angles formed by intersecting lines.
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Complete this proof.<br><br> Given: EC AC, DB AC, ∠A = ∠F<br> Prove: ΔMDF ∼ ΔNCA
Gelneren [198K]

Answer:

Proved

Step-by-step explanation:

Given: EC || AC, DB || AC, ∠A = ∠F

Prove: ΔMDF ∼ ΔNCA

Solution

See diagram attached to the solution to better understand the following workings.

Redrawing ΔMDF or rotating to be facing the same direction.

EC is parallel to AC

DB parallel to AC

Using similar triangle theorem:

If ΔMDF ∼ ΔNCA

Ratio of Corresponding sides would be equal

(adjacent of ΔMDF)/(adjacent of ΔNCA) = (Opposite of ΔMDF)/(opposite of ΔNCA) = (hypotenuse of ΔMDF)/(hypotenuse of ΔNCA)

DF/ CA = MD/NC = FM/AN

∠A = ∠F

∠M = ∠N

∠D = ∠C

Since the ratio of Corresponding sides and angle are equal, ΔMDF is similar to ΔNCA.

ΔMDF ∼ ΔNCA

6 0
3 years ago
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andre [41]

Answer:

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Step-by-step explanation:

sarah invests £9600 at a simple interest rate of 8% per year

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I = 9600 * 0.08 * 3= 2304

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\large \mathfrak{Solution : }

let's plug in the value of y :

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Hello what type of language is this
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Ivanshal [37]

Answer:

D.

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