<u>Statement </u> <u>Reason</u>
1. AB = x + 16 1. Given
BC = 4x + 11
AC = 77
2. AB + BC = AC 2. Segment Addition Postulate
3. x + 16 + 4x + 11 = 77 3. Substitution Property
4. 5x + 27 = 77 4. Simplification <em>(added like terms)</em>
5. 5x = 50 5. Subtraction Property of Equality
6. x = 10 6. Division Property of Equality
7. AB = 10 + 16 7. Substitution Property
8. AB = 26 8. Simplification <em>(added like terms)</em>
Answer: 640
Step-by-step explanation:
The scale factor is 20/5=4, so the ratio of the areas is the square of this, or 16.
Thus, the area of ABCD is 40(16)=640.
Answer:
0.35
Explanation:
<u>Follow the branch B and then branch D</u>
- multiply both the selected probabilities to calculate total probability.
Answer and Step-by-step explanation:
The two statements that are true are statement 1 and statement 4:
- The sum of pi and 0 is irrational.
- The product of
and
is irrational.
Pi is an irrational number, and the square root of 19 is irrational. That's because these numbers can't be put into a simplified fraction to encompass all the digits it contains.
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