Answer:
Option (1)
Step-by-step explanation:
Lines X and Y are intersecting at a point.
Two pairs of vertical angles have been formed at the point of intersection.
1). ∠1 and ∠3
2). ∠2 and ∠4
It's given that m(∠1) = m∠3 = 55° [Since pair of vertical angles are equal in measure]
If line Y is rotated 5° clockwise about the point of intersection of both the lines,
∠1 and ∠3 both will increase by 5°.
Therefore, measure of angles 1 and angle 3 will become (55° + 5° = 60°).
Option (1) will be the answer.
Answer:
y≤-1/3 (fraction)
And on the number line it will start from -1/3 (-0.333) and go less than -1/3 ( to the left, and it will be shaded
Step-by-step explanation:
First we expand the brackets, making it -15y+12≥17
Then we move 12 to the other side, making it negative, -15y≥17-12
Simplify, -15y≥5
Then we divide on both sides to isolate y, flipping the greater than sign to less than because when you divide or multiply by a negative number, the sign flips. y≤5/-15
Then we simplify by dividing the fraction by 5, making it -1/3. y≤-1/3
If you have any doubts, inform me
Answer:
i believe the answer is 142.42 in²
Step-by-step explanation:
what i did was 'separate' the cone and cylinder-
so the volume of cylinder formula is-
v=πr²h
and the volume for a cone is-
v=πr²h/3
now let us fill in the formulas with the information that we have-
v=π*2²*10=125.66
v=π*2²*4=16.76
now let us add the sums together-
125.66+16.76=142.42 in²
good luck :)
i hope this helps
**please let me know if this is incorrect/not what you're looking for or both**
have a nice day!
5(15)+(15)(15)=75+225
=300
Answer:
Step-by-step explanation:
In a right triangle:
Therefore, given:
