Answer:
10 and 8
Step-by-step explanation:
Case 1:
20 and 2
20 = 2^2 x 5
2 = 2^1
=> LCM = 2^2 x 5 = 20 (not 40)
=> Incorrect pair of numbers
Case 2:
10 and 8
10 = 2 x 5
8 = 2^3
=> LCM = 2^3 x 5 = 40
=> GCF = 2
=> Correct pair of numbers
Case 3:
10 and 4
10 = 2 x 5
4 = 2^2
=> LCM = 2^2 x 5 = 20 (not 40)
=> Incorrect pair of numbers
Case 4:
8 and 5
8 = 2^3
5 = 5 x 1
=> GCF = 1 (not 2)
=> Incorrect pair of numbers
Hope this helps!
:)
Answer: B. x=10
Step-by-step explanation:
<u>Concept</u>
- If it is an isosceles triangle, then the altitude would also be the median of the base, meaning that it divides the base evenly.
- We are going to use the Pythagorean theorem which is a²+b²=c², where [a] and [b] are legs, and [c] is the hypotenuse.
<u>Given</u>
Hypotenuse (relative) = √74
Altitude (one leg) = 7
The other leg (half of the base) = x/2
<u>Solve</u>
a² + b² = c²
(7)² + (x/2)² = (√74)²
49 + x²/4 = 74
x²/4 = 25
x² = 100
x = 10
Hope this helps!! :)
Please let me know if you have any questions
Given that the diagram shows the location of John and Mark in relationship to the top of the building labeled A, then:
a]
∠4 is the angle of elevation as seen by Mark from his location. It is the angle between the horizontal and the line from the object to the observer's eyes.
b]
∠3 is the angle of depression and it is congruent to the angle 5, which is the angle of elevation as seen by John from his location.
Answer:
The length of the triangle is 3x given
The no of sides is 3x 3x 3x so 3x+3x+3x= 180
9x=180 x= 20
3x =3*20=60
3x=3*20=60
3x=3*20=60
