Answer:
Step-by-step explanation:
<em>m∠</em>2 and <em>m∠</em>1 are congruent by the Corresponding Angles Theorem; we set both expressions equal to each other:
[80 - x]° = [90 - 2x]°
+ x° + x°
______________
80° = [90 - x]°
-90° - 90°
__________
−10° = [−x]°
I am joyous to assist you anytime.
Answer:
n=-6
Step-by-step explanation:
Answer: 3, 6, 9, 12
Step-by-step explanation:
A geometric progression has a common ratio.
2,6, 18 and 54 has a common ratio of 3. When you multiply the first number by 3, you get the second number and the same thing applies to the third number.
1, 5, 25 and 125 has a common ratio of 5. When you multiply the first number by 5, you get the second number and the same thing applies to the third number.
4, 8, 16 and 32 has a common ratio of 2. When you multiply the first number by 2, you get the second number and the same thing applies to the third number.
3, 6, 9 and 12 is an arithmetic progression as 3 is added to each number
Answer:
16. D
17. 5^-1 · 5^-1 and 25^-1
8^0 · 8^3 and 8^3
Step-by-step explanation:
When you multiply two same numbers with exponents, just think of it as adding up exponents.
When you divide two same numbers with exponents, just think of it as subtracting exponents.
If a parenthesis has an exponent outside, then every exponent inside the parenthesis will be multiplied by that outside parenthesis.
(5^-1)^-2 · 5^3 ÷ 5^7
5^2 · 5^3 ÷ 5^7
5^5 ÷ 5^7
5^-2
When exponents are negative, you have to flip them or put them on the other side
5^-2 = 1/5^2 = 1/25
Let's try to find the equivalent pairs
6^7 ÷ 6^-2 = 6^5
6^9 = 6^5 Not equivalent
(6^3)^0 = 6
6^0 = 1 (Any number with a zero exponent is always 1)
1 = 6 Not equivalent
5^-1 · 5^-1 = 25^-1
5^-2 = 25^-1
Flip em
1/5^2 = 1/25
1/25 = 1/25 Equivalent
8^0 · 8^3 = 8^3
8^3 = 8^3 Equivalent
4^-3 ÷ 4^2 = 4^5
4^-5 = 4^5 Not equivalent
Answer:
I cannot help without a picture, so please send one if you can?
Step-by-step explanation:
