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slamgirl [31]
3 years ago
9

What are four ways an inequality can be written?

Mathematics
1 answer:
Irina18 [472]3 years ago
7 0

Answer:

There are four ways to represent an inequality: Equation notation, set notation, interval notation, and solution graph.

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5. If mZWXZ = (5x + 3)", mZZXY = (8x - 4)", and
gladu [14]

Answer:

m∠WXZ = 38°

m∠ZXY = 52°

Step-by-step explanation:

In the question

  • ∠WXZ and ∠ZXY are two adjacent angles and formed together ∠WXY
  • That means the measure of ∠WXY equal the sum of measures of ∠WXZ and ∠ZXY

∵ ∠WXY is a right angle

→ That means its measure is 90°

∴ m∠WXY = 90°

∵ m∠WXZ + m∠ZXY = m∠WXY

∵ m∠WXZ = (5x + 3)°

∵ m∠ZXY = (8x - 4)°

∵ m∠WXY = 90°

→ Substitute their values in the equation above

∴ (5x + 3) + (8x - 4) = 90

→ Add the like terms in the left side

∵ (5x + 8x) + (3 - 4) = 90

∴ 13x + (-1) = 90

∴ 13x - 1 = 90

→ Add 1 to both sides

∴ 13x - 1 + 1 = 90 + 1

∴ 13x = 91

→ Divide both sides by 13

∴ \frac{13x}{13}=\frac{91}{13}

∴ x = 7

→ To find the measure of each angle substitute x by 7 in their measures

∵ m∠WXZ = 5x + 3

∴ m∠WXZ = 5(7) + 3

∴ m∠WXZ = 35 + 3

∴ m∠WXZ = 38°

∵ m∠ZXY = 8x - 4

∴ m∠ZXY = 8(7) - 4

∴ m∠ZXY = 56 - 4

∴ m∠ZXY = 52°

7 0
3 years ago
Transform the polar equation to a Cartesian (rectangular) equation: r= 4sinθ
sweet-ann [11.9K]

Answer:

  x^2 +y^2 = 4y

Step-by-step explanation:

Using the usual translation relations, we have ...

  r^2 = x^2+y^2

  x = r·cos(θ)

  y = r·sin(θ)

Substituting for sin(θ) the equation becomes ...

  r = 4sin(θ)

  r = 4(y/r)

  r^2 = 4y

Then, substituting for r^2 we get ...

  x^2 +y^2 = 4y . . . . . matches the first choice

8 0
3 years ago
Kate collected 12 coats to donate to the Winter Coat Drive.Then she collected some more coats from her family members.Now Kate h
Alika [10]

Answer:

13

Step-by-step explanation:

25 - 12 = 13

5 0
3 years ago
Please help i will give u a brainly
Alex777 [14]

Answer:

x=45degrees because there is 180 degrees on the straight lne and the first one is 90 degeeese and since it is split in half 90/2 is 45

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the prime factorization of the number 8.​
anyanavicka [17]

Answer:

For instance, the prime factorization of 8 is 2×2×2, not just "2". Yes, 2 is the only factor, but you need three copies of it to multiply back to 8, so the prime factorization includes all three copies.

Step-by-step explanation:

Very intresting hope this helps

7 0
3 years ago
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