3 years ago

When translating a figure using a combination of two translations, is the resulting figure congruent to the original figure?

Mathematics

1 answer:

emmainna [20.7K]3 years ago

6 0

It has to be the original figure but it is in a different spot on the graph

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The components of vector are ax and ay (both positive), and the angle that it makes with respect to the positive x axis is θ. Fi

Andru [333]

we can use formula

$\theta=tan^{-1}(\frac{a_y}{a_x})$

(a)

we are given

$a_x=12,a_y=12$

now, we can plug values

$\theta=tan^{-1}(\frac{12}{12})$

$\theta=tan^{-1}(1)$

$\theta=\frac{\pi}{4}rad$

(b)

we are given

$a_x=20,a_y=12$

now, we can plug values

$\theta=tan^{-1}(\frac{12}{20})$

$\theta=tan^{-1}(\frac{3}{5})$

$\theta=30.96^{\circ \:}$

(c)

we are given

$a_x=12,a_y=20$

now, we can plug values

$\theta=tan^{-1}(\frac{20}{12})$

$\theta=tan^{-1}(\frac{5}{3})$

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3 years ago

Angle 3 is a supplement of angle 4. If the m of angle 3 is 100 degrees, what is the m of angle 4?

Triss [41]

Answer: 80

Step-by-step explanation: Supplements mean they add up to 180. is m of 3 is 100, then m of 4 must be 80 to add up to 180. Hope this helps!

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3 years ago

Rogers’s car loan is automatically deducting $35 from his bank account every month. How much will the deductions total for the y

MrRa [10]

Well since there is 12 months in a year you would multiply 35 by 12, so the answer is 420

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3 years ago

Factor by grouping.<br> 5w+2w + 25w + 10

masha68 [24]

Answer:

32w+10

Step-by-step explanation:

add all the w's then just add 10

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(50 points)

kondor19780726 [428]

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