Solve for the variable "a" in this equation. Show work: c=8πab

The combined average weight of an okapi and a llama is 450450 kilograms. The average weight of 33 llamas is 190190 kilograms mor

Nataliya [291]

Answer:

Okapi 290 kg

Llama 160 kg

Step-by-step explanation:

Let weight of each llama be $l$

Let weight of each okapi be $o$

Given, combined weight of 1 okapi and 1 llama is 450, we can write:

$l+o=450$

Also, average weight of 3 llama is 190 more than the average weight of 1 okapi, thus we can write:

$3l-190=o$

Now, substituting 2nd equation into 1st equation, we can solve for weight of 1 llama:

$l+o=450\\l+(3l-190)=450\\l+3l-190=450\\4l=450+190\\4l=640\\l=\frac{640}{4}=160$

Each llama weights 160 kg, now using this and plugging into 2nd equation, we get weight of 1 okapi to be:

$o=3l-190\\o=3(160)-190\\o=290$

Each okapi weigh 290 kg

5 0

3 years ago

So is anyone good at geometry ive posted this before but i was used for points i need help

SOVA2 [1]

Answers:
Reason 3: Definition of Parallelogram
Reason 4: Alternate Interior Angles Theorem
Reason 5: Reflexive Property of Congruence
Reason 6: ASA Congruence Property

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Explanations:

Explanation for Reason 3: A parallelogram, by definition, has opposite sides that are parallel. It's built into the name more or less. Sides AB and CD are opposite one another in the parallelogram so they are parallel segments

Explanation for Reason 4: Angle ABD is congruent to angle CDB because they are alternate interior angles. They are on the inside of the "train tracks" that are formed by AB and CD. They lay on opposite sides of the transversal BD

Explanation for Reason 5: Any segment is congruent to itself; ie, the same length

Explanation for Reason 6: Using reasons 2,5 and 4, we can use ASA (angle side angle) to prove the two triangles ABD and CDB congruent. Reason 2 is the first "A" in ASA. Reason 5 is the S in ASA. Reason 4 is the other A in ASA. The side is between the two pairs of angles. See the attache image for a visual summary of how ASA is being used.