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tangare [24]
3 years ago
13

Consider the graph of the following quadratic equation

Mathematics
1 answer:
Kipish [7]3 years ago
5 0

Answer:

y would be the 1

Step-by-step explanation:

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En un triangulo ABC, el angulo B mide 64° y el angulo C mide 72°. La bisectriz interior CD corta a la altura BH y a la bisectriz
nadezda [96]

Answer:

The difference between the greatest and the smallest angle of the triangle PBQ is 98°.

Step-by-step explanation:

The question is:

In a triangle ABC, angle B measures 64 ° and angle C measures 72°. The inner bisector CD intersects the height BH and the bisector BM at P and Q respectively. Find the difference between the greatest and the smallest angle of the triangle PBQ.

Solution:

Consider the triangle ABC.

The measure of angle A is:

angle A + angle B + angle C = 180°

angle A = 180° - angle B - angle C

             = 180° - 72° - 64°

             = 44°  

It is provided that CD and BM are bisectors.

That:

angle BCP = angle PCH = 36°

angle CBQ = angle QBD = 32°

angle BHC = 90°

Compute the measure of angle HBC as follows:

angle HBC = 180° - angle BHC + angle BCH

                  = 180° - 90° - 72°

                  = 18°

Compute the measure of angle BPC as follows:

angle BPC = 180° - angle PCB + angle CBP

                  = 180° - 18° - 36°

                  = 126°

Then the measure of angle BPQ will be:

angle BPQ = 180° - angle BPC

                  = 180° - 126°

angle BPQ = 54°

Compute the measure of angle PBQ as follows:

angle PBQ = angle B - angle QBD - angle HBC

                  = 64° - 32° - 18°

angle PBQ = 14°

Compute the measure of angle BQP as follows:

angle BQP = 180° - angle PBQ - angle BPQ

                  = 180° - 14° - 54°  

angle BQP = 112°

So, the greatest and the smallest angle of the triangle PBQ are:

angle BQP = 112°

angle PBQ = 14°

Compute the difference:

<em>d</em> = angle BQP - angle PBQ

  = 112° - 14°

  = 98°

Thus, the difference between the greatest and the smallest angle of the triangle PBQ is 98°.

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Step-by-step explanation:

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What is the difference between these two expressions?
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Answer:

The answer is:

Option 4; (14+ 9) 4 is twice as much as(14 + 9) 2

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Step-by-step explanation:

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Resuma o tema operações com números positivos e negativos POR FAVOR RESPONDA CERTO E RÁPIDO É URGENTE!
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Negativo + Negativo = Negativo

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Negativo - Positivo = Negativo

Positivo - Negativo = Positivo

Negativo - Negativo = Negativo + Positivo

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Positivo x Positivo = Positivo

Negativo x Negativo = Positivo

Negativo x Positivo = Negativo

Positivo x Negativo = Negativo

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Divisão (÷)

Positivo ÷ Positivo = Positivo

Negativo ÷ Negativo = Positivo

Negativo ÷ Positivo = Negativo

Positivo ÷ Negativo = Negativo

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