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Stolb23 [73]
3 years ago
10

Part A: Find a rational number that is between 5.2 and 5.5. Explain why it is rational. (2 points) Part B: Find an irrational nu

mber that is between 5.2 and 5.5. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth.
Mathematics
1 answer:
alina1380 [7]3 years ago
6 0

Answer: part A: 5.4 because its a terminating deciaml Part B: 5.67854... and to the nearest hundereth is 5.68  

Step-by-step explanation:

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Triangle ABC is shown below.
Andrew [12]

Answer:

C.) 14

Step-by-step explanation:

Look at the triangle: angles b and c have the same arch, so they are congruent.

In a triangle, if two angles are congruent, then the triangle is isosceles, having two equal sides.

The sides opposite the congruent angles are congruent:

∠B → opposite side → AC

∠C → opposite side → AB

The sides AB and AC are equal. Make an equation:

AB=AC\\\\2x=3x-7

Simplify the equation, solving for x. Add 7 to both sides:

2x+7=3x-7+7\\\\2x+7=3x

Subtract 2x from both sides:

2x-2x+7=3x-2x\\\\7=x

The value of x is 7. Insert the value of x into the given length of AC:

AC=3(7)-7

Simplify multiplication:

AC=21-7

Subtract:

AC=14

Therefore, the length of the line segment AC is 14.

:Done

8 0
3 years ago
The dashed triangle is the image of the solid triangle. The center of dilation is (−5, 7) .
adell [148]
Before dilation:
the height of the triangle is h₁ = 7 - (-1) = 8
the width of the triangle is w₁ = 7 - (-5) = 12

After dilation:
the height of the is h₂ = 9-7 = 2
the width of the triangle is w₂ = -5 - (-8) = 3

The scale factor is h₂/h₁ = 2/8 = 1/4 = 0.25
Also, the scale factor is w₂/w₁ = 3/12 = 1/4 = 0.25

Answer: The scale factor is 0.25

3 0
3 years ago
Read 2 more answers
Find the coordinates of the midpoint of HX (SHOW YOUR WORK) H(0,0),X(8,4)
prisoha [69]
Y = mx + c
y = 0.5x
y = 0.5*4 = 2
(4,2)
7 0
3 years ago
Which shows a fractional and decimal equivalent of 9/20 ?
Oxana [17]

Answer:

45/100 = 0.45

Step-by-step explanation:

Divide 9 by 20.

9/20 = 0.45

Now write 36/100 as a decimal.

36/100 = 0.36

Write 45/100 as a decimal: 0.45

Answer: 45/100 = 0.45

4 0
3 years ago
Read 2 more answers
Determine if the side lengths 6, 11, and 19 form a triangle. If it is a triangle, classify it by its sides.
Butoxors [25]
It is not triangle because the one side of triangle should be smaller than the other two sides
Let's check
6+11=17
17<19
Or
11+19=31
9<31
4 0
3 years ago
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