Given:
Consider the sides of the triangle are 4x+10, 2x-5 and 18 (in feet).
Perimeter of this triangle is to be no more than 77 feet.
To find:
The inequality and solution of the inequality.
Solution:
Perimeter of a triangle is the sum of all side.
Perimeter of given triangle 
Perimeter of this triangle is to be no more than 77 feet. It means perimeter must be less than or equal to 77.





Divide both sides by 6.


Therefore, the required inequality is
and the solution is
.
Answer:
15. a, 16. ∠GOH = 26
Step-by-step explanation:
15. A straight angle looks as a line.
16. ∠GOI = ∠GOH + ∠HOI
47 = ∠GOH + 21
∠GOH = 47 - 21 =26
∠GOH = 26
Answer:
A=V/QJ
Step-by-step explanation:
divide by QJ so that A is solved
<span>2 sec^2 x + tan^2 x - 3 = 0
2(1 + tan^2 x) + tan^2 x - 3 = 0 [sec^2 x = 1 + tan^2 x]
2 + 2tan^2 x + tan^2 x - 3 = 0
3tan^2 x = 1
tan^2 x = 1/3

</span><span />
Answer:
.666667 or 2/3
Step-by-step explanation:
Convert 1 1/2 and 1 to improper fractions:
9/6 (1 1/2) and 6/6 (1)
Now use division to find the missing value
6/6 / 9/6 = 4/6
or
1 / 1.5 = .666667
Simplify 4/6:
2/3
Double check your answer:
1 1/2 x 2/3 = 1
This is correct. Thus, your answer is 2/3.
Hope this helps and please vote brainliest. Good Luck!