Answer:
Its Option C.
Step-by-step explanation:
-4x + 7 = 2y - 3
Substitute the given values in the given equation:-
(2,1):- -4(2) + 7 = -1 and 2(1) - 3 = -1 so (2,1) is a solution.
(5, -5):- -4(5) + 7 = -13 and 2(-5) - 3 = -13 so (5, -5) is also a solution.
The height of the tree to the nearest tenth of foot is 20.5 ft
<h3>Right angle triangle:</h3>
A right angle triangle has one of its angles as 90 degrees. The sides can be found using Pythagoras theorem.
The side of the base triangle can be found using Pythagoras theorem.
c² = a² + b²
c² = 9.2² + 5.8²
c² = 84.64 + 33.64
c = 10.9 ft
using similar triangle ratio,
5.8 / 10.9 = 10.9 / x + 5.8
5.8x = 118.81 - 33.64
x = 85.17 / 5.8
x = 14.6844827586
x = 14.7 ft
The height of the tree to the nearest foot is 14.7 + 5.8 = 20.5 ft
learn more on right angle triangle here: brainly.com/question/26909069
Answer:
"The length of the resulting line segment is 20 units because translations preserve length"
Step-by-step explanation:
A translation, in maths, is the movements of a geometric shape/line in certain direction. There is no rotation, re-sizing, or alteration. It simply "moves" the line/shape in a direction. The length is not altered in any way. Translation preserves length, every point just changes place.
When we translate a figure/line, we are simply moving it elsewhere, keeping all else constant.
In this problem, the line segment at hand is 20 units and it is translated 6 units up and 8 units left. So the location of the line changes, but the length is preserved. So, 2nd answer choice is right:
"The length of the resulting line segment is 20 units because translations preserve length"
Hello!
The answer is: 17 ft.
Explanation:
To find this out, just divide the perimeter, and the amount of sides in a triangle, which is 3. This will only work with equilateral triangles because an equilateral triangle has all three sides the same length. Anyway, divide 51 and 3. (51 / 3 = 17) Just to make sure, you can add three 17's together, 17 + 17 + 17 = 51, the perimeter.
I hope this helped! ~Q
Angles 4,2,6,and 8 are all 106 degrees. To find the other number, subtract 106 from 180 and that is the rest of the numbers. All you have to do is write the measure (m) of the angle listed.
180-106=74 So,
1) 74 degrees
2)106 degrees
3)74 degrees
4) 106 degrees
5)74 degrees
6)74 degrees