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3 years ago

In the figure below, m∠ABC = 57 degrees and m∠DAB =116 degrees. What is m∠ABC?

Mathematics

1 answer:

Allushta [10]3 years ago

3 0

Answer:

∠ACB = 59°

Step-by-step explanation:

∠BAC = 180 - 116 = 64°

∠ACB = 180 - 64 - 57 = 59°

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Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A?

Vladimir79 [104]

Answer:

Figure A

Step-by-step explanation:

See the attached figure which represents the given options

We are to select the correct pair of triangles that can be mapped to each other using a translation and a rotation about point A.

As shown: point A will map to point L, point R will map to point P and point Q will map to point K.

we will check the options:

Figure A: the triangle ARQ and LPK can be mapped to each other using a translation and a rotation about point A.

Figure B: the triangle ARQ and LPK can be mapped to each other using a translation and a reflection about the line RA.

Figure C: the triangle ARQ and LPK can be mapped to each other using a translation and a reflection about the line QA.

Figure D: the triangle ARQ and LPK can be mapped to each other using a rotation about point A.

So, the answer is figure A

The triangle pairs of figure A can be mapped to each other using a translation and a rotation about point A.

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3 years ago

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Explain why f(x) is continuous at x=3

Elina [12.6K]

Answer:

f is not defined at x = 3 ⇒ answer (b)

Step-by-step explanation:

∵ f(x) = x² - x - 6/x² - 9 is a rational function

∴ It will be undefined at the values of x of the denominator

∵ The denominator is x² - 9

∵ x² - 9 = 0 ⇒ x² = 9 ⇒ x = ±√9

∴ x = ± 3

∴ f(x) can not be defined at x = 3

∴ The f(x) can not be continuous at x = 3

∴ The answer is (b)

6 0

3 years ago

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If the general solution of a differential equation is y(t)equals=Upper C e Superscript negative 4 t Baseline plus 7Ce−4t+7, wh

Maru [420]

Answer:

$y(t) = 3e^{-4t}+7$

Step-by-step explanation:

$y(t) = Ce^{-4t}+7$

At y(0) = 10, when t = 0, y = 10.

$y(0) = 10 = Ce^{-4\times0}+7$

$10 = C+7$

$C = 3$

Hence, the solution is

$y(t) = 3e^{-4t}+7$

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3 years ago

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Multiplication Property of Equality---- If 6x divided by 8 = 40, then______

NNADVOKAT [17]

Answer:

Option C.) 6x=320

Step-by-step explanation:

we know that

The Multiplication Property of Equality states that if you multiply both sides of an equation by the same number, the sides remain equal

we have

$\frac{6x}{8}=40$

Apply the multiplication property of equality

Multiply by 8 both sides

$\frac{6x}{8}(8)=40(8)$

$6x=320$

therefore

The answer is the Option C

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8/9 in simplest form

tigry1 [53]

Answer:

its already in its simplest form.

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