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maksim [4K]
4 years ago
6

The students in math class played a card game. Jarrods scores were 37 points ,58 points , -17 points and -9 points. The winner w

as determined by adding the points for all the rounds. What was Jarrod’s score after four rounds of cards?
Mathematics
1 answer:
wariber [46]4 years ago
5 0

Answer:  69

Step-by-step explanation:

First add all your positive numbers 37 + 58 = 95

Then add your negative numbers -17 + -9 = -26

Finally, subtract

95

-26

___

69

The answer is positive because the positive number 95 was higher than the negative number -26.  

Hope this helps you!

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The direct relationship between the original distance and the resulting distance is y = 3 · x.

<h3>What is the relationship behind a given statement and graph?</h3>

In this problem we find the case of a direct relationship, that is, a linear relationship between two b. According to this case, the original distance (d), in yards, is directly proportional to the resulting distance (d'), in feet.

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In ∆ABC acute angles are in the ratio 5:1, i.e.
salantis [7]

<u>Answer:</u>

The quen is as following:

ABC is a right triangle at C,

Acute angles are in the ratio 5:1, i.e. ∠BAC : ∠ABC = 5:1

If CH is an altitude to AB and CL is an angle bisector of ∠ACB, find m∠HCL.

<u>The solution is:  m∠HCL = 30°</u>

<u>Step-by-step explanation:</u>

See the attached figure.

∵The triangle is right at C   ∴∠C = 90°

∴∠A + ∠B = 90° ⇒(1)

∵ Acute angles are in the ratio 5:1, i.e. ∠BAC : ∠ABC = 5:1

∴∠A = 5 times ∠B

Substitute at (1)

∴ 5 ∠B + ∠B = 90° ⇒⇒⇒ ∴∠B = 15°  and ∠A = 75°

∵CL is an angle bisector of ∠ACB

∴ ∠ACL = 90°/2 = 45°

∵ CH is an altitude to AB ⇒ ∠CHA = 90°

At the triangle AHC:

∠ACH = 180° - (∠CHA + ∠CAH) = 180° - (90° + 75°) = 15°

<u>∴ ∠HCL = ∠ACL - ∠ACH = 45° - 15° = 30°</u>

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