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Tems11 [23]
3 years ago
7

Find the missing side of the triangle

Mathematics
1 answer:
kolezko [41]3 years ago
4 0

Answer:

2

Step-by-step explanation:

2

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4 and 2/3 divided by 3/4 as a fraction
Bumek [7]

Answer:

dg

Step-by-step explanation:

7 0
2 years ago
Solve the compound inequality |3x-9|≤15 and |2x-3|≥5. Give answer in interval notation.
laila [671]

Answer:

The solution of |3x-9|≤15 is [-2;8] and the solution |2x-3|≥5 of is  (-∞,2] ∪ [8,∞)

Step-by-step explanation:

When solving absolute value inequalities, there are two cases to consider.

Case 1: The expression within the absolute value symbols is positive.

Case 2: The expression within the absolute value symbols is negative.

The solution is the intersection of the solutions of these two cases.

In other words, for any real numbers a and b,

  • if |a|> b then a>b or a<-b
  • if |a|< b then a<b or a>-b

So, being |3x-9|≤15

Solving: 3x-9 ≤ 15

3x ≤15 + 9

3x ≤24

x ≤24÷3

x≤8

or 3x-9 ≥ -15

3x ≥-15 +9

3x ≥-6

x ≥ (-6)÷3

x ≥ -2

The solution is made up of all the intervals that make the inequality true. Expressing the solution as an interval: [-2;8]

So, being |2x-3|≥5

Solving: 2x-3 ≥ 5

2x ≥ 5 + 3

2x ≥8

x ≥8÷2

x≥8

or 2x-3 ≤ -5

2x ≤-5 +3

2x ≤-2

x ≤ (-2)÷2

x ≤ -2

Expressing the solution as an interval: (-∞,2] ∪ [8,∞)

6 0
3 years ago
Noah is solving an equation, and one of his moves is unacceptable. Here are the moves he made.
faust18 [17]

Answer:

b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

Step-by-step explanation:

The solution is correct up to the step 2x = 6x

2x = 6x

Subtract 2x from both sides.

0 = 4x

Divide both sides by 4.

x = 0

You cannot divide both sides by x since x could be zero, and in fact, it is.

Answer: b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

3 0
3 years ago
What is the area of a triangle whose base measures 3.2 centimeters and whose height is 4.6 centimeters.
Assoli18 [71]

Answer:

7.36 cm²

Step-by-step explanation:

What is the area of a triangle whose base measures 3.2 centimeters and whose height is 4.6 centimeters.

The formula for the area of a triangle is given as:

1/2 × Base × Height

Base = 3.2 cm

Height = 4.6 cm

Hence,

Area of the triangle = 1/2 × 3.2 × 4.6

= 7.36 cm²

4 0
2 years ago
fifteen children voted for their favorite color. the votes for red and blue together were double the votes for green and red. Ho
stira [4]
Five voted for green or yellow and 10 voted for red or blue
4 0
3 years ago
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