Which two statements are missing in steps 3 and 4? ∠X ≅ ∠C △ABC ~ △ZYX by the SAS similarity theorem. ∠B ≅ ∠Y △ABC ~ △ZYX by the
2 answers:
Solution:
We aim to prove that,
△ABC is similar to △Z Y X by SAS.
Given that, ∠X is congruent to ∠C.
It's crucial to keep in mind that two triangles are considered similar using SAS if
1. The sides included between the angles must be in proportion.
2. Now, we must verify that,
△ABC is similar to △Z Y X following SAS criteria.It is given that, ∠B coincides with ∠Y.
The side between the specified angles must also be proportional.
3. Next, we'll establish that,
△ABC is similar to △Z Y X according to the SSS principle.
All three sides of the two triangles should be proportional.
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762,508 expressed in expanded form with exponents is:
Solution:
We need to write 762,508 using expanded notation with exponents.
Expanded form indicates how to represent numbers to highlight the individual digit values.
Displaying 762508 in Expanded format
Let's determine the positional values of each digit:
The concept of place value signifies the worth assigned to each digit based on its location.
For 7, the place value is 700,000
In 762508, the digit 7 is located in the hundred-thousands position.
For 6, the place value is 60,000
In 762508, the digit 6 occupies the ten-thousands position.
For 2, the place value is 2,000
In 762508, 2 is in the thousands position.
For 5, the place value is 500
In 762508, 5 is placed in the hundreds position.
For 0, the place value is 0 x 10 = 0
In 762508, 0 is found in the tens position.
For 8, the place value is 8
In 762508, 8 is positioned in the units place.
Thus, the expanded form is:
700,000 + 60,000 + 2,000 + 500 + 0 + 8
Expressed with exponents, it can be written as: