Step-by-step explanation:
If the two chords are congruent, then they must be equidistant from the centre of the circle.
Answer: <u><em>D) They must be perpendicular</em></u>
A is rejected because the chord might not pass through the center of the circle.
B is rejected because the chords are not obligated to be parallel.
C is rejected because it is not compulsory for the chords to be perpendicular.
Sin (A + B) = sin A cos B + cos A Sin B
<span>Cos (A - B) = cos A cos B + sin A sin B </span>
<span>=> (SinACosB+ CosASinB) (CosACosB +SinASinB) </span>
<span>=>SinACosACos^2B+Sin^2ACosBSinB+Cos^2A... </span>
<span>=>SinACosA(Cos^2B+Sin^2B) +SinBCosB(Sin^2A+Cos^2A) </span>
<span>we know that Sin^2+Cos^2=1 </span>
<span>=>SinACosA(1)+SinBCosB(1) </span>
<span>=SinACosA+SinBCosB </span>
<span>Proved
</span>
Answer:
∠A=67°
∠B=70°
∠C=43°
Step-by-step explanation:
<u><em>The correct question in English is</em></u>
Determines the measurement of each of the angles of the triangle ABC if it is known that A=(3x+1)°,B=(3x+4)° and C=(2x-1)°.
we know that
The measure of the interior angles in a triangle must be equal to 180 degrees
so
∠A+∠B+∠C=180°
substitute the given values
solve for x
Find the measure of each angle
∠A=(3(22)+1)=67°
∠B=(3(22)+4)=70°
∠C=(2(22)-1)=43°
Answer:
x > -6.
Step-by-step explanation:
16x - 33x < -12x + 30
Add 12x to both sides:
16x - 33x + 12x < 30
-17x + 12x < 30
-5x < 30
x > 30/-5
x > -6
(Note the inequality signs flips because we are dividing by negative 5).
