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Dmitrij [34]
2 years ago
15

Determine the missing information in the paragraph proof. Given: Lines a and c intersect at point S, creating 4 angles. Prove: C

orresponding angles are congruent. We are given that lines a and c intersect at point S. Translate line a down line c until point S reaches point Q. Call the new line through Q line b. Because translations preserve orientation, lines a and b are ________. Because translations preserve angle measure, ∠RSU ≅ ∠RQU'. For the same reason, ∠RST ≅ ∠RQT', ∠PSU ≅ ∠PQU', and ∠PST ≅ ∠PQT'. Each of the angle pairs are corresponding angles. Therefore, corresponding angles are congruent.
Mathematics
2 answers:
Mrrafil [7]2 years ago
7 0

Answer:

Parallel

Step-by-step explanation:

When we translate line a to create line b, all points on line a will be the same distance from their corresponding points on line b.  This means they will never intersect, which is the definition of parallel.

ser-zykov [4K]2 years ago
6 0
The test i took said the answer was Parallel
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The demand for lumber is increasing exponentially. The amount of timber​ N, in billion cubic​ feet, consumed t years after 1997
dlinn [17]

Answer:

  • 1997: 66.00 billion cubic ft
  • 1998: 67.19 billion cubic ft
  • 2000: 69.63 billion cubic ft
  • 2010: 83.23 billion cubic ft

Step-by-step explanation:

For repetitive calculations, it is convenient to let a spreadsheet or calculator do them. See attached for the table of values and the graph. The graph is that of an exponential curve. Its slope increases at an increasing rate.

3 0
2 years ago
Keshawn is asked to compare and contrast the domain and range for the two functions.
iVinArrow [24]

Answer:

Hence, option 1 is correct.

Hence, last option is correct.

Step-by-step explanation:

We have given two function

f(x)=5x  and g(x)=5^x

Domain is the values x can take and

And range is the values y can take

Hence, x can take any real value in both the functions in f(x) and g(x)

Hence, option 1 is correct

Now, for range

range of f(x) can be any real number

But range of g(x) can be positive number

Hence, last option is correct.

Rest all options are incorrect.

3 0
2 years ago
Read 2 more answers
A farmer plants corn in 1/4 of his field. He plants white corn in 3/5 of the corn
bija089 [108]

Answer:

\frac{3}{20}

Step-by-step explanation:

Fraction of the total that is for corn (TC - Total corn):

TC=\frac{1}{4}

fraction of the corn section that is for white corn (WC - white corn in the corn seccion):

 WC=\frac{3}{5}

we need to find the fraction of the whole field that is for the white corn.

For this we need to find how much is \frac{3}{5} out of the \frac{1}{4} destinated to corn, and this will be the fraction of the total that is for white corn. We find this fraction by multiplying the fraction of corn (\frac{1}{4}) by the fraction of white corn in the corn section (\frac{3}{5}).

I will call the total fraction of white corn TWC, thus:

TWC=WC*TC=\\=\frac{3}{5} *\frac{1}{4} \\\\=\frac{3*1}{5*4} \\\\=\frac{3}{20}

the answer is: \frac{3}{20} of the whole field is planted with white corn

5 0
2 years ago
Quadrilaterals WXYZ and BADC are congruent. In addition, WX ≅ DC and XY ≅ BC. If AD = 4 cm and AB = 6 cm, what is the perimeter
Yanka [14]

If <u>quadrilaterals</u> WXYZ and BADC are <u>congruent</u>, then their corresponding <u>sides</u> are congruent.

Given that

  • WX≅DC,
  • XY≅BC,

you can state that

  • YZ≅AB,
  • WZ≅AD.

If AD = 4 cm and AB = 6 cm, then WZ = 4 cm and YZ = 6 cm. Opposite rectangle sides are congruent, then XY = 4 cm and WX = 6 cm.

The perimeter of WXYZ is

P = WX + XY + YZ + WZ = 6 + 4 + 6 + 4 = 20 cm.

Answer: 20 cm

6 0
2 years ago
Read 2 more answers
A CD usually sells for $17.00. If the CD is 30% off, and sales tax is 6%, what is the total price of the CD, including tax?
Ivan
If it is 30% off, then u r paying 70%

70% of 17 = 0.7(17) = 11.90 ...this is without tax

u have a tax rate of 6%.....

11.90 * 1.06 = 12.614 rounds to 12.61 <== total cost including tax
8 0
2 years ago
Read 2 more answers
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