Answer:
1. 103
2. 67
3. 15
4. 44
Step-by-step explanation:
subtracting the sum of two given angles from 180.
Answer:
recursive: f(0) = 7; f(n) = f(n-1) -8
explicit: f(n) = 7 -8n
Step-by-step explanation:
The sequence is an arithmetic sequence with first term 7 and common difference -8. Since you're numbering the terms starting with n=0, the generic case will be ...
recursive: f(0) = first term; f(n) = f(n-1) + common difference
explicit: f(n) = first term + n·(common difference)
To get the answer above, fill in the first term and common difference values.
Answer:
= 8
Step-by-step explanation:
Combine multiplied terms into a single fraction
Multiply by 1
Add 9 to both sides of the equation
Simplify
The value of x is 15.
Solution:
Given ΔPQR
ΔUTV.
<em>If two triangles are similar, then the corresponding parts are congruent.</em>


Do cross multiplication, we get
⇒ 14(x - 3) = 8(x + 6)
⇒ 14x - 42 = 8x + 48
Add 42 on both sides.
⇒ 14x = 8x + 90
Subtract 8x on both sides.
⇒ 6x = 90
Divide by 6 on both sides.
⇒ x = 15
The value of x is 15.
Take the root of both sides, and then solve.
c = sqrt a^2 + b^2, - sqrt a^2 + b^2.