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Katarina [22]
2 years ago
5

The diagonal of one side of a rhombus are of equal length. Find the measure of angles of the rhombus.​

Mathematics
1 answer:
MatroZZZ [7]2 years ago
3 0
<h3><u>Explanation</u><u>:</u></h3>

Consider ABCD is a rhombus

We know that

All sides are equal in rhombus

=> AB=BC=CD=DA

and AC and BD are digonals

Given that

Diagonal and the side of the rhombus are equal.

=> AB = BC = CD = DA = AC

Diagonal AC divides the rhombus into two triangles .

They are ∆ BAC and ∆ DAC

In triangle BAC

BA=BC=AC,(Given)

=> < BAC=<ABC= < ACB =60°………(1)

Similarly in ∆DAC ,

DA=DC=AC

=><DAC=<ACD=<ADC=60°……….(2)

From (1) and (2)

<A=<BAC+< DAC=60°+60°=120°

and

< B= < ABC = 60°.

and

<C=<ACB+<ACD=60°+60°=120°

and

< D =<ADC=60°

Therefore, <A = 120° , <B = 60° ,<C = 120° ,<D = 60°

<u>Answer:-</u>

The measures of the all angles in the rhombus are 120° , 60° ,120° and 60°

<u>Used formulae:-</u>

all sides in a rhombus are equal

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A: 144/z

Step-by-step explanation:

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Which of the following is the most profitable investment for a candy shop that earns $1 revenue per pound of candy? (5 points) G
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Then the most profitable investment is the first machine (third option) because for each dollar, it produces 2 pounds of candy.

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The first option is a worker that costs $10 per hour and produces 8lb, then this worker gives:

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The second worker costs $12 per hour, and produces 16lb per hour, so this worker gives:

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The third option is a machine that cost $5 per hour and produces 10lb per hour, then:

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The last option costs $8 per hour, and produces 14 pounds per hour, then:

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3 0
2 years ago
PLEASE HELP ASAP!!!!
sweet-ann [11.9K]

Answer:

1 to 5

211 to 1500

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Step-by-step explanation:

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2.11 to 15 = 211/1500 = 211 to 1500

3.30 to 90 = 330/9000 = 110/3000 = 11/300 = 11 to 300

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Answer:

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Step-by-step explanation:

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