3 years ago

Solve each of the following equations for the given variable using proper algebraic notation. Show ALL work for full marks.

Mathematics

1 answer:

icang [17]3 years ago

6 0

Answer:

3x=42

Divide 3x to both sides

14=x

56=8x

Divide 8 to both sides

7=6

6x+4=40

subtract 4 to both sides

6x=36

divide 6 to both sides

x=6

58=4x-6

add 6 to both sides

64=4x

divide 4 to both sides

16=x

Step-by-step explanation:

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Find the value of x

givi [52]

Answer:

110°

Step-by-step explanation:

In triangle AOB

OA = OB (radii of same circle)

$m\angle OAB = m\angle OBA =20\degree$

$m\angle AOB = 180\degree - (20\degree +20\degree)$

$m\angle AOB = 180\degree - 40\degree$

$m\angle AOB = 140\degree$

$m\widehat {ACB} =m\angle AOB = 140\degree$

(measure of minor arc is equal to corresponding central angle)

$x\degree = \frac{1}{2} (360\degree - 140\degree)$

(inscribed angle theorem)

$x\degree = \frac{1}{2} \times 220\degree$

$\huge\purple {x = 110}$

3 0

2 years ago

Find the constant of proportionality and the unit rate for the data table. Then write an equaion to represent the relationship b

Akimi4 [234]

$\dfrac{90}2=45$

$\dfrac{135}3=45$

$\dfrac{225}5=45$

$\dfrac{270}6=45$

The constant of proportionality is thus 45; the unit rate is 45 miles per hour.

The relationship between the time t (in hours) and the distance d (in miles) is thus $d=45\cdot t$