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n200080 [17]
3 years ago
13

The inequality 7-2/3 < x-8 is equivalent to

Mathematics
1 answer:
inn [45]3 years ago
5 0

X>43/3

Or X>29/3

Depending if you mean (7-2)/3 or 7-(2/3)

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Help me with #5 pleaseeeeeeeeeee
earnstyle [38]

Answer:

\angle 1 = 45 degrees

Step-by-step explanation:

Sum of 3 angles in a triangle is 180..

The angles given are:

60

7x + 12

1

So we sum to 180 and write:

60+7x+12+\angle 1=180\\72+7x+\angle 1=180\\7x+\angle 1=108

Also, straight angle is 180 degrees, thus Angle 1 and (14x + 9) angle is sum to 180, thus we can write:

14x+9+\angle 1=180\\14x + \angle 1=171

Or we can write this as:

14x + \angle 1=171\\\angle 1 = 171 - 14x

We substitute this expression for Angle 1 into 1st equation we got and solve for x first,

7x+\angle 1 = 108\\7x+( 171 - 14x)=108\\-7x=-63\\x=9

Since x = 9, the angle "14x + 9" would be:

14(9) + 9 = 135

Hence Angle 1 would be:

\angle 1 + 14x + 9 = 180\\\angle 1 + 135 = 180\\\angle 1 = 45

6 0
2 years ago
The diameter of the Sun is about 1.4 x 106 km. The diameter of the planet
den301095 [7]

Answer:

1.17*10²

Step-by-step explanation:

Diameter of the sun is about 1.4 × 10⁶ km

1.4*10⁶ km = 1,400,000

Diameter of the planet venus is about 12000 km

12000 km = 1.2 × 10⁴

Ratio of the diameters

Sun : Venus

1.4 × 10⁶ km : 1.2 × 10⁴

1.4 × 10⁶ km / 1.2 × 10⁴

1.4 / 1.2 × 10^6-4

1.166 × 10²

Approximately

1.17 × 10²

7 0
2 years ago
Which expression can be used to find 32% of 130?
Gemiola [76]

Answer:

b. 0.32 • 130

Step-by-step explanation:

Change the percent to decimal form

32% = .32

.32 * 130

6 0
3 years ago
1) Which relation is a function?
jasenka [17]

Answer:

B

Step-by-step explanation:

x = y-4x^2 can be rearranged to get y = 4x^2 + x, which is a function

3 0
2 years ago
A water tank holds 200 gallons but is leaking at a rate of 3 gallons per week. A second water tank holds
vlada-n [284]
200-3w = 300-5w

Where w is the number of weeks

Rearrange and reduce:
-3w + 5w = 300-200
2 w = 100
w = 100/2 = 50 weeks
5 0
3 years ago
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