Answer:
Aziza’s claim is incomplete. The third side must be between 4 in. and 26 in.
Step-by-step explanation:
With the Triangle Inequality Theorem, saying that the sum of lengths of any two sides of a triangle is greater than the length of the third side. With this we can develop two inequalities:
11 + 15 > x
26 > x
rewrite this as x < 26
11 + x > 15
x > 15 - 11 Subtract 11 from both sides
x > 4
Therefore, the third side can be anywhere greater than 4 inches and less than and less than 26 inches.
4 < x < 26
Answer:
Friday's game generates $1,664 while Sunday's, game generates $1,768 for a total of $3432.00.
Step-by-step explanation:
First, identify what you know:
1) A baseball team has home games on Friday and Sunday
2) Both games, combined, earned $3432.00
3) Friday's game generated $104.00 less than Sunday's game.
We can create a formula to solve our problem!
$3,432 = x + (x - 104)
$3,432 + 104 = x + x
$3,536 = 2x
$3,536/2 = x
x = $1,768
Sunday's game earned $1,768! If Friday's game earned $104 less, then simply subtract that from Sunday's earning!
$1,768 - $104 = $1,664
Friday's game cost $1,664, and Sunday's game earned $1,768!
Hope this helps! :)
Answer:
7
Step-by-step explanation:
Answer:
1. 
Step-by-step explanation:
We can see that CD is angle bisector, So we will use angle bisector theorem which states that the angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.
We can set up an equation as:
Upon substituting our given values we will get,
Cross multiplying our equation we will get,
Therefore, the length of AD is units and 1st option is the correct choice.
Answer:
1. No vertical compression or stretching but will open up downward.
2. 1/4 vertical stretch
3. 4 vertical compression
Step-by-step explanation:
Any time your dealing with vertical stretching or compression it will always be the number before the parentheses.
So in 1. it is - or basically -1 which means the parabola will be open up downward. And in this problem there is no stretching or compression
2. Is the 1/4 is a vertical stretch
3. 4 is a vertical compression.
Or what also could help is when the number before the parentheses is bigger such as number 4 the closer together the parabola will be. And the smaller the number like 1/4 the wider the parabola will be.
