Mathematics, 04.08.2019 23:30 makoa

Identify the missing parts in the proof. given: ∠abc is a right angle. db bisects ∠abc. prove: m∠cbd = 45°

Answers: 2

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Answer from: naomicervero

Answer with Step-by-step explanation:

We are given that

Angle ABC is a right angle .

$\angle ABC=90^{\circ}$

DB bisects the angle ABC.

We have to prove that $m\angle CBD=45^{\circ}$

When DB bisects the angle ABC

$m\angle ABD=m\angle CBD$

$m\angle CBD+m\angle ABD=\angle ABC$

Substitute the value

$m\angle CBD+m\angle CBD=90$

$2m\angle CBD=90$

$m\angle CBD=\frac{1}{2}\times 90=45^{\circ}$

Hence, proved.

Answer from: andres2865

When an angle is bisected, then it would be divided into two equal parts. Thus, bisection of <B implies m∠CBD = 45°.

Bisection of angle implies that the angle would be divided into two equal parts.

Given that ΔABC is a right angled triangle. Thus since <ABC is right angle, it implies that the measure of the angle is $90^{o}$ .

Then;

DB is not perpendicular to AC

m<A + m<ABD + m<ADB = $180^{o}$ (sum of angles in a triangle)

Also,

m<C + m<CBD + m<CDB = $180^{o}$ (sum of angles in a triangle)

Since DB is a bisector of right angle B, then;

m<B = m<ABD + m<CBD (bisection property of an angle)

$90^{o}$ = m<ABD + m<CBD

But,

m<ABD ≅ m<CBD (similarity property)

So that:

$90^{o}$ = 2<CBD

m<CBD = $\frac{90^{o} }{2}$

= $45^{o}$

m<CBD = $45^{o}$

Thus, the measure of angle CBD = ABD = $45^{o}$

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Answer from: Quest

$(4x-101)(2x +3)$

$8x^2 + 12x -202 - 303$

$8x^2+12x-505$

$4x - 101 = 0$

$101/4= 25.25$

$-3/2 = -1.5$

$x = 25.25$ or $x = -1.5$

Answer from: Quest

la parábola es el lugar

geométrico en el cual los puntos tienen una distancia idéntica, equidistantes,

de un punto denominado foco, f, y una recta denominada directriz

el radio vector de una

parábola es el segmento que existe entre un punto cualquiera y el foco.

por la ecuación se observa

que la parábola abre hacia la derecha, por lo cual podemos usar las siguientes fórmulas

la ecuación ordinaria de la

parábola es y^2 = 4px, donde p es la longitud desde el vértice de la parábola al

foco.

la fórmula de la directriz

es x + p = 0

resolviendo:

y^2-9x = 0

y^2 = 9x

4p = 9, entonces p = 9/4

entonces el foco tendrá la

coordenada f(9/4,0)

la directriz vendrá

expresada por

x + p = 0

x = -p

x = -9/4

el problema indica que la

ordenada es igual a 6, entonces

(6)^2=9x

x = 36/9

x = 4

entonces el punto al cual

hay que obtener la distancia será p(4,6)

calculando se tendrá: pf =

pf = 6,25 u

ver más en -

step-by-step explanation:

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Identify the missing parts in the proof. given: ∠abc is a right angle. db bisects ∠abc. prove: m∠c...

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