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iragen [17]
3 years ago
7

Whole number greater than 99,999,999 and less than 100,000,100

Mathematics
1 answer:
WITCHER [35]3 years ago
8 0
The answer is 100,000,000 because it is less than 100,000,100 and greater than 99,999,999 and it is a whole number
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Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and sin ∠X = 5 over 5 and 59 hundredths.
Vikentia [17]

The relationship between Traingle XYZ and ACB is that they are similar triangles. tanX = tanA = 5 over 2 and 5 tenths, where

  • AC = 2 x  XY
  • CB = 2 x  YZ

<h3>What is the dilation about?</h3>

Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB, hence XYZ and ACB are similar triangles.

Angles Y and C are said to measure 90 degrees, and angles A and X are known to be congruent. Thus:

tanX = tanA = 5 over 2 and 5 tenths

AC = 2 x  XY

CB = 2 x  YZ

Another way to solve for it is by:

Note that Dilation of the triangle ΔXYZ was by a factor of "2".

Since m∠Y = m∠C = 90º   - given

ΔXYZ and ΔACB are said to be right triangles.

Since ∠X ≅ ∠A   - given

Then ∠X and ∠Z are  said to becomplementary angles

Since m∠Z = 90° - m∠X   -- given

Then ∠A and ∠B are said to be complementary angles

Since m∠B = 90° - m∠A  --- given

Then, ∠Z ≅ ∠B

Therefore ΔXYZ ∼ ΔACB are  similar triangles because it has its corresponding sides to be proportional and its corresponding angles to be congruent.

Note:

sin ∠X = 5/5.59

sin ∠X = YZ/XY

YZ = 5  seen in ΔXYZ

XZ = 5.59 seen in hypotenuse of ΔXYZ

Then one need to Calculate the length of one aspect of XY:

XY = √((5.59)2 - 52)

= 2.4996

Note CB/YZ = 2

CD = 2*YZ = 2 x 5

= 10

AC/XY = 2

AC = 2* XY

= 2 x 2.4996

= 4.999

Learn more about dilation from:

brainly.com/question/27517432

#SPJ1

7 0
2 years ago
Benjamin writes an expression for the sum of 1 cubed, 2 cubed and 3 cubed. What is the value at the expression
asambeis [7]

Answer:

36

Step-by-step explanation:

8 0
3 years ago
The median of 15, 17, 13, 19, 20, 33, 22, 12, 18, and ◼ is 18.5. Is it possible to determine the missing value?
yanalaym [24]

It is NOT possible to determine the missing value from the given data.

<h3>Mean and Median</h3>

Mean is the average of a number of data while the median is the number at the middle of the given data.

  • For a given data with a missing value, we can only find the missing value by calculating the mean of the data and equating the given mean.

Hence from the given data, it is NOT possible to determine the missing value from the given data.

Learn more on median and mean here; brainly.com/question/14805451

3 0
3 years ago
Read 2 more answers
Can someone please help me solve these 4
choli [55]

Answer:

find the area and then multiply

Step-by-step explanation:

5 0
2 years ago
Tell which set or sets of numbers below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbe
Misha Larkins [42]

1/3 belongs to the rational set and to the real set.

<h3>To which sets does the number below belong?</h3>

Here we have the number 1/3.

First, remember that we define rational numbers as these numbers that can be written as a quotient between two integers.

Here 1 is an integer and 3 is an integer, then 1/3 is a rational number.

Also, the combination between the rational set and the irrational set is the set of the real numbers, then 1/3 is also a real number.

Then, concluding:

1/3 belongs to the rational set and to the real set.

If you want to learn more about rational numbers:

brainly.com/question/12088221

#SPJ1

6 0
2 years ago
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