7(6+2) = 7(8)=56
The answer is:
7(6)=42 + 14=56
<h3>
Answer: 2 < x < 7</h3>
==================================================
Explanation:
We'll use the hinge theorem here. This says (more or less) that the larger an angle is, the side opposite of that will be longer.
Imagine that the segments with the single tickmarks represent a door swinging open/shut. The more open a door is, the further the distance it is from the handle to the frame. In terms of these triangles, the segment 25 is larger than 5x-10 because the angle 90 (opposite the 25) is larger than the angle 85 degrees (opposite the 5x-10)
In symbols we say
5x - 10 < 25
We also say 5x - 10 > 0 or 0 < 5x - 10 to ensure that the segment of length 5x-10 is not 0 or negative.
Put the two inequalities together and we get 0 < 5x - 10 < 25
------------
Solve for x
0 < 5x - 10 < 25
0+10 < 5x - 10 < 25 + 10 .... adding 10 to all sides
10 < 5x < 35
10/5 < 5x/5 < 35/5 ... dividing all sides by 5
2 < x < 7
We have x between 2 and 7, and not equal to either endpoint.
The statement that best describes Georgia’s Barrier Islands is; A: They protect the coastline during storms.
<h3>What is the correct statement about the place?</h3>
Barrier islands are called “barrier islands” due to the fact that they are good means of creating barrier between the mainland and the ocean.
Now, these barrier islands tend to shelter and protect the mainland from the powerful forces of wind, waves, and other natural disasters. This they do by;
- Sheltering the estuaries that form behind the barriers.
- Allowing marshes to build up in the quiet waters of the sound.
- Filtering of the pollutants that come in from mainland rivers by the marshes.
- Providing valuable habitats for water animals and others in that ecosystem.
- Serve aesthetic purposes
Barrier islands are a very much valuable resource. Despite the fact that they constantly change and may become badly eroded, they can still rebuild if left alone.
Thus, we can conclude that statement best describes Georgia’s Barrier Islands is that they protect the coastline during storms.
Read more about Correct statement at; brainly.com/question/25800832
#SPJ1
100% markup means the price is double what it was bought for, $30. 30x2=60 dollar sale price. A 20% commision would be $12. 60 x 0.2=12
Answer:
We draw line AB which is perpendicular to the 14 cm side
Since Angle C is 60 degrees that makes angle CAB = 30 degrees
Triangle CAB is a 30 60 90 triangle so line CB is half the hypotenuse or 5 cm
Line BD equals 9 cm
Line AB^2 = 10^2 - 5^2 = 75
Line AD^2 = AB^2 + BD^2
Line AD^2 = 75 + 81
Line AD^2 = 156
Line AD = 12.4899959968
Line AB = Sqr root (75) = 8.6602540378
Angle D = arc sine (8.6602540378 / 12.4899959968)
Angle D = 43.898 degrees
Angle A = 180 - 60 - 43.898 = 76.102 degrees
*****************************************************************
Actually this could have been done a little easier by using the Law of Cosines and then the Law of Sines, but I just thought I'd show another way to solve this.
Step-by-step explanation:
