Answer:
<CDG = 118 degrees
Step-by-step explanation:
Alternate interior angles are congruent.
Answer:
Additional saves = <u>34 lacrosse.</u>
Step-by-step explanation:
The additional saves = s
Then , the number of saves becomes = 6+s
and, the number of shots faced = 13+s
Save percentage in lacrosse is found by dividing the number of saves by the number of shots faced that is


Given , the percentage of lacrosse = 0.850






Since, additional saves must be an integer so round it off to the nearest integer 34.
Thus, Additional saves = <u>34 lacrosse.</u>
Answer: 125lb < M < 155 lb
Step-by-step explanation:
The mean mass is 140 lb, and the deviation must be less than 15 pounds (exactly 15 is not accepted).
Then (140lb + 15lb) is not alowed, and (140lb - 15lb) is not alowed.
Then we can define M = mass.
We have the two equations:
M < 140lb + 15lb
M < 155lb
And
M > (140lb - 15lb)
M > 125lb
If we write these two relations togheter, we get:
125lb < M < 155 lb
Answer:
c. the spinner landing on orange or red
Step-by-step explanation:
So first you find how much is green
25 + 15 + 40 = 80
100 - 80 = 20
So the amount green is 20%
Then you choose the color that has the biggest percentage because it has a higher change of being chosen
25% is red
15% is blue
40% is orange
20% is green
orange and red is the biggest amount/ has the biggest percentage
c is your answer
Answer: The tall cliff is 118.20 feet tall and the short cliff is 70.32 feet tall.
If you draw a picture with 2 cliffs and a river in the middle, you have find 2 right triangles. In each triangle the adjacent side to our known angle is the river of 90 feet. And the unknown side is the opposite leg.
Therefore, we can set up a tangent equation.
From the top of the short cliff to the top of the tall cliff, we can right and solve the following trig equation:
tan(28) = x /90
x = 47.88
From the top of the short cliff to the bottom, we can right and solve the following trip equation.
tan(38) = x/90
x = 70.32
The 70.32 is also the height of the short cliff. And adding the two answers together will give you the height of the tall cliff.