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2 years ago

The measure of one angle of a parallelogram is 45° .what are the measure of the other angles

1 answer:

3 0

In a parallelogram, the opposite sides of the shape are parallel. Also, the opposite angles have the same measure. This means that the angle opposite to your 45° is also 45°. Another rule of parallelograms states that consecutive angles (right next to each other) are supplementary. That means that if you add their measures together, you get 180°. Subtract 45° that we know from 180° to find the remaining angle. 180-45=135. This means the the other two angles are 135° and are opposite of each other. It would look something like this:
________________________
(45°) ----> / / <------- (135°)
/ /
(135°) --> /__________________________/ <------ (45°)

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LenKa [72]

Answer:

It is a function

Step-by-step explanation:

The x has only one y and that makes it a function

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2 years ago

Find the inflection point of the function of f(x) = x³ -6x² +12x

Wewaii [24]

Points of inflections are zeroes of the second derivative. We have:

$f(x)=x^3-6x^2+12x\implies f'(x)=3x^2-12x\implies f''(x)=6x-12$

So, the second derivative equals zero if and only if

$f''(x)=0\iff 6x-12=0 \iff 6x=12 \iff x=2$

So, this is the only point of inflection of this function.

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2 years ago

The volumes of two bodies are measured to be

valentinak56 [21]

Answer:

Sum of volumes = (16.6 ± 0.03) cm³

Difference of volumes = (3.8 ± 0.03) cm³

Step-by-step explanation:

Solution

V₁ = (10.2 ± 0.02) cm³ and V₂ = (6.4 ± 0.01) cm³.

∆V = ± (∆V₁ + ∆V₂)

= ± (0.02 + 0.01) cm³

= ± 0.03 cm³

V₁ + V₂ = (10.2 + 6.4) cm³ = 16.6 cm³ and

V₁ - V₂ = (10.2 - 6.4) cm³ = 3.8 cm³

Hence, sum of volumes = (16.6 ± 0.03) cm³

and difference of volumes = (3.8 ± 0.03) cm³

<u>-TheUnknownScientist</u>

5 0

2 years ago

Read 2 more answers

Tom Lynd is paid $290.00 a week. His employer deducts 7.65% for social security taxes and $54.10 for withholding taxes and pensi

Ulleksa [173]

Answer = $213.72
$\frac{7.65}{100} \times 290 = 22.185$
$290 - 22.185 - 54.10 = 213.715$
Net pay = $213.72 (Rounded off to 2 decimal points)

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3 years ago

At the end of 2019, Mark owes $250,000 on the mortgage related to the 2016 purchase of his residence. When his daughter went to

grandymaker [24]

Answer:

$15,000

Step-by-step explanation:

The $1500 interest on a home equity loan used for purposes other than home improvement is not deductible with other home loan interest as an itemized deduction.

However, the interest on a loan for qualified educational expenses may be considered an adjustment to income, within limits.

Only the $15,000 main mortgage interest can be an itemized deduction.

6 0

2 years ago