Answer:
1.A
2.B
Step-by-step explanation:
I hope it helps...........
Answer:
See explanation
Step-by-step explanation:
Consider triangles ACM and BCM. In these triangles,
- given;
- definition of perpendicular lines CM and AB;
- reflexive property.
So,
by ASA postulate (if one side and two angles adjacent to this side of one triangle are congruent to one side and two angles adjacent to this side of another triangle, then two triangles are congruent).
Two-column proof:
Statement Reason
1. Given
2. 
Given
3. Definition of perpendicular lines CM and AB
4. Reflexive property
5. ASA postulate
Answer: His temperature is 99°F
Step-by-step explanation:
Let's state what we know:
Steve's temperature was initially 102°F
Later it dropped 3°F lower
Since his temperature decreased we need to subtract 3 from 102 to see what his temperature is now
102-3=99
For this, no math is even needed! The question says 1,000 people were interviewed. 42% percent of that 1,000 owns an SUV. If it's a percent, it is 42/100, right? Now we have to make that 42/100 out of 1000. We add a zero to the 100 on the bottom (42/1000). We do the same thing on the top. Add a zero! 420.
SECOND POSSIBLE SOLUTION
Solve this with logic! 42% is nearly 50%. Half of 1,000 is 500. What is closest to 500? 420! This solution is even easier.
Hope this helps you!
Answer:
Dimensions :
x (the longer side, only one side with fence ) = 90 ft
y ( the shorter side two sides with fence ) = 45 ft
Total fence used 45 * 2 + 90 = 180 ft
A(max) =
Step-by-step explanation: If a farmer has 180 ft of fencing to encloses a rectangular area with fence in three sides and the river on one side, the farmer surely wants to have a maximum enclosed area.
Lets call "x" one the longer side ( only one of the longer side of the rectangle will have fence, the other will be along the river and won´t need fence. "y" will be the shorter side
Then we have:
P = perimeter = 180 = 2y + x ⇒ y = ( 180 - x ) / 2 (1)
And A (r) = x * y
A(x) = x * ( 180 - x ) /2 ⇒ A(x) = (180/2) *x - x² / 2
Taking derivatives on both sides of the equation :
A´(x) = 90 - x
Then if A´(x) = 0 ⇒ 90 - x = 0 ⇒ x = 90 ft
and from : y = ( 180 - x ) / 2 ⇒ y = 90/2
y = 45 ft
And
A(max) = 90 * 45 = 4050 ft²
