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2 years ago

Shaun loves to play golf. He wants to become a member at a golf course but is unsure which one

Mathematics

1 answer:

vazorg [7]2 years ago

5 0

Answer:

Equation: (650 + 20) < (450 + 25)
Sentence to answer with: Cardinal Gold Club is the better golf couse because it is cheaper when we compare to total of both prices altogether.

Step-by-step explanation:

The reason why this club is better is because in Red Crest the fee is 650 and the charges per round is 20 so we add 650 + 20 to get the total of 670. Now we have to find the total of the Cardinal Golf Club and to do that we have to add their fee of 450 + the charges for each round which is 25 and 450 + 25 equals to 475. Lastly we have to compare to find the less/cheaper one ehich is Cardinal.

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In triangle ΔABC, ∠C is a right angle and CD is the height to

Zina [86]

Answer:

$m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha$

Step-by-step explanation:

The triangles are drawn below.

CD is perpendicular to AB as CD is height to AB.

Therefore, angles $m\angle CDB=m\angle CDA=90$ °

So, triangles ΔCBD and ΔCAD are right angled triangles.

Now, from the right angled triangle ΔABC,

$m\angle A+m\angle B =90\\\alpha+m\angle B=90\\m\angle B=90-\alpha$

From ΔCBD,

$m\angle CBD$ is same as $m\angle B$ .

So, $m\angle CBD=90-\alpha$

$m\angle BCD+m\angle BDC =90\\m\angle BCD+90-\alpha=90\\m\angle BCD=\alpha$

Now, from ΔCAD,

$m\angle CAD$ is same as $m\angle A$

So, $m\angle CAD=\alpha$

$m\angle CAD+m\angle ACD =90\\\alpha+m\angle ACD=90\\m\angle ACD=90-\alpha$

Hence, the unknown angles of both the triangles are:

$m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha$

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Step-by-step explanation:

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