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bija089 [108]
3 years ago
5

A diagonal of a parallelogram forms 25° and 35° angles with sides of parallelogram. Find the angles of the parallelogram.

Mathematics
1 answer:
sergiy2304 [10]3 years ago
3 0

so,

angle DAB = 25° + 35°

= 60°

now,

angle DAB + angle ADC. = 180°

or, 60° + ADC = 180°

or, ADC = 180° - 60°

Therefore, ADC = 120°

therefore, the angles of the PARALLELOGRAM are 60° and 120°.

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One nice thing about this situation is that you’ve been given everything in the same base. To review a little on the laws of exponents, when you have two exponents with the same base being:

– Multiplied: Add their exponents
– Divided: Subtract their exponents

We can see that in both the numerator and denominator we have exponents *multiplied* together, and the product in the numerator is being *divided* by the product in the detonator, so that translates to *summing the exponents on the top and bottom and then finding their difference*. Let’s throw away the twos for a moment and just focus on the exponents. We have

[11/2 + (-7) + (-5)] - [3 + 1/2 + (-10)]

For convenience’s sake, I’m going to turn 11/2 into the mixed number 5 1/2. Summing the terms in the first brackets gives us

5 1/2 + (-7) + (-5) = - 1 1/2 + (-5) = -6 1/2

And summing the terms in the second:

3 + 1/2 + (-10) = 3 1/2 + (-10) = -6 1/2

Putting those both into our first question gives us -6 1/2 - (-6 1/2), which is 0, since any number minus itself gives us 0.

Now we can bring the 2 back into the mix. The 0 we found is the exponent the 2 is being raised to, so our answer is

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3 years ago
Among two supplementary angles, the measure of the larger angle is 44°
zhuklara [117]

Answer:

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Step-by-step explanation:

Supplementary angles sum to 180°

let the smaller angle be x then the larger angle is x + 44 , then

x + x + 44 = 180 , that is

2x + 44 = 180 ( subtract 44 from both sides )

2x = 136 ( divide both sides by 2 )

x = 68

Smaller angle = 68° and

larger angle = x + 44 = 68 + 44 = 112°

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2 years ago
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tatyana61 [14]
When writing a decimal, the numbers to the left of the decimal are whole numbers greater then or equal to 1. The numbers to the right of the decimal are numbers less then 1.

if u know 5/8 = 0.625, then 4 5/8 = 4.625
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3 years ago
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katrin2010 [14]

Answer:

SEE BELOW

Step-by-step explanation:

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2 - 10 minutes

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<em>Hope it helped</em>

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Ierofanga [76]

Answer:

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