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2 years ago

1. Which diagram(s) show adjacent angles?

Mathematics

1 answer:

disa [49]2 years ago

6 0

Answer:

1. diagrams C. D. and F. are adjacent angles, which are angles that share a vertex and side

2. diagram B. are vertical angles

3. diagram A. are complementary angles

4. diagram E. are supplementary angles

5. diagram D. is a linear pair

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(2pm^-1q^0)^-4 • 2m ^-1 p^3 / 2pq^2

Montano1993 [528]

Answer:

$\dfrac{m^3}{16p^2q^2}$

Step-by-step explanation:

Given:

$(2pm^{-1}q^0)^{-4}\cdot \dfrac{ 2m^{-1} p^3}{2pq^2}$

$m^{-1}=\dfrac{1}{m}$

$q^0=1$

$2pm^{-1}q^0=2p\cdot \dfrac{1}{m}\cdot 1=\dfrac{2p}{m}$

$(2pm^{-1}q^0)^{-4}=\left(\dfrac{2p}{m}\right)^{-4}=\left(\dfrac{m}{2p}\right)^4=\dfrac{m^4}{(2p)^4}=\dfrac{m^4}{16p^4}$

$m^{-1}=\dfrac{1}{m}$

$2m^{-1} p^3=2\cdot \dfrac{1}{m}\cdot p^3=\dfrac{2p^3}{m}$

$\dfrac{ 2m^{-1} p^3}{2pq^2}=\dfrac{\frac{2p^3}{m}}{2pq^2}=\dfrac{2p^3}{m}\cdot \dfrac{1}{2pq^2}=\dfrac{p^2}{mq^2}$

$(2pm^{-1}q^0)^{-4}\cdot \dfrac{ 2m^{-1} p^3}{2pq^2}=\dfrac{m^4}{16p^4}\cdot \dfrac{p^2}{mq^2}=\dfrac{m^3}{16p^2q^2}$

8 0

2 years ago

Can someone help me out with my 1 & 2 geometry semester course I’m trying to graduate ..

zloy xaker [14]

It's true
if the consecutive angles of a quadrilateral are supplementary it will be parallelogram. like square and rectangular

6 0

2 years ago

Please help me with my math

Taya2010 [7]

3x + 22 is the equation that represents the perimeter of the triangle. 4x + 10 is the perimeter of the rectangle. Setting the two equal:

$3x + 22 = 4x + 10$

and collecting like terms:

$x=11$

We find that the perimeter of both shapes is equal to 11 units.

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3 years ago

At the local pet store, zebra fish cost $1.85 each and neon tetras cost $2.10 each. If Yumi bought 11 fish for a total cost of $

Amanda [17]

Answer: C. 6 zebra fish, 5 neon tetras. Is $21.60

Step-by-step explanation:

1.85 • 6 = 11.10

2.10 • 5 = 10.50

11.10 + 10.50 = 21.60

$21.60

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2 years ago

Evaluate the expression 6+[(-24)÷6]/19

zlopas [31]

The order of operations is defined by the acronym PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).
Therefore
6 + [(-24) ÷ 6] / 19
= 6 + [ -24/6 ] / 19 handle parentheses first
= 6 + (-4) /19
= 6 - 4/19 handle division
= 110/19
= 5 5/9

Answer:
$\frac{110}{19} \,\, or \,\, 5 \, \frac{5}{19} \,\, or \,\, 5.79$

4 0

3 years ago