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UNO [17]
3 years ago
6

The difference of twice a number and 8 is greater than 28.

Mathematics
1 answer:
notka56 [123]3 years ago
3 0

Answer:

x>18.

Step-by-step explanation:

The word problem describes the equation below, where x is "a number".2x-8>28

This inequality can be solved by first adding 8 to the both sides:

2x>36

Then, divide both sides by 2 to isolate x.

x>18

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Please please please helpppp, (please show work if you can)
____ [38]

Answer:

∴ m∠KIJ = 18°  and   m∠HIJ = 50°

Thus, option a is correct.

Step-by-step explanation:

From the figure, it is clear that:

m∠KIH = m∠HIJ + m∠KIJ

Given

  • m∠KIH = 68°
  • m∠KIJ = (2x + 6)°
  • m∠HIJ = (9x - 4)°

now substituting m∠KIH = 68°, m∠KIJ = (2x + 6)° and m∠HIJ = (9x - 4)° in the equation

m∠KIH = m∠HIJ + m∠KIJ

68° = (2x + 6)° + (9x - 4)°

switch sides

\left(2x+6\right)+\left(9x-4\right)=68

Group like terms

2x+9x+6-4=68

11x+2=68

Subtract 2 from both sides

11x+2-2=68-2

Simplify

11x=66

Divide both sides by 11

\frac{11x}{11}=\frac{66}{11}

Simplify

x=6

Hence, the value of x = 6

Therefore,

m∠KIJ = (2x + 6)° = 2(6) + 6 = 12 + 6 = 18°

m∠HIJ = (9x - 4)° = 9(6) - 4 = 54 - 4 = 50°

∴ m∠KIJ = 18°  and   m∠HIJ = 50°

Thus, option a is correct.

8 0
3 years ago
If ax + x^2 = y^2 -at , what is the value or x and y?
alexandr1967 [171]

Answer:

dx. = yex ⇒ dy y. ∫. = x ... 2 xx dx. ∫. , i.e. yx = 4. 4 x c. +. Hence y = 3. 4 x c x.

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Answer:

ching song

Step-by-step explanation:

blig blong

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Determine a series of transformations that would map Figure D onto Figure E.
PSYCHO15rus [73]

Answer:

According to the diagram,  is the polar angle (the "vertical" angle made with the positive z-axis) and  is the azimuthal angle (the "horizontal" angle made with the positive x-axis), so the convention used here is to take

Then for the spherical point (1, π/4, π/2), we have the corresponding Cartesian point (x, y, z), where

Step-by-step explanation:

3 0
3 years ago
What is the probability that the first marble is blue and the second marble is yellow?
Cloud [144]

Answer:

\frac{1}{14}

Step-by-step explanation:

<u><em>First time drawing:</em></u>

Total outcome is 8

Favorable outcome is 2

The probability that the first marble drawing in random is blue is

\frac{2}{8} = \frac{1}{4}

<u><em>Second time drawing (with no replacement): </em></u>

Total outcome is 7  (8 - 1 = 7)  

Favorable outcome is 2

The probability that the second marble drawing in random is yellow is

\frac{2}{7}

<em>The probability that the first marble is blue and the second marble is yellow is</em> \frac{1}{4} × \frac{2}{7} = \frac{2}{28} = \frac{1}{14}

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3 years ago
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