<span>x = 4
Given the description of the triangles, you have 2 similar right triangles. The smaller triangle has a height of 20 and a base of 3x, while the larger has a height of (20+8) = 28 and a base of 4x + 2. We wish to determine the value of x. Since the triangles are similar, the ratio of corresponding sides will be a constant. So:
20/28 = (3x)/(4x+2)
(4x+2)20/28 = (3x)
(20/28)*4x+(20/28)*2 = (3x)
(80/28)*x+(40/28) = (3x)
(20/7)*x + 4/7 = 3x
4/7 = 3x - (20/7)*x
4/7 = (21/7)x - (20/7)*x
4/7 = x/7
4 = x
So the value of x is 4.</span>
Answer:
C
Step-by-step explanation:
The terms form a geometric sequence with common ratio r
r = 
= 
= ......
r = 
= 
= - 
The n th term formula of a geometric sequence is
= a 
← a is the first term
here a = - 81, hence
f(x) = - 81
→ C
Answer:
1/4
Step-by-step explanation:
Males: 3 units
Females: 1 unit
Total: 4 units
Females/Total: 1/4
Answer:
AB = 41 cm
Step-by-step explanation:
If B is the midpoint of AC, then B splits AC into 2 equal halves: AB & BC.
Therefore, AB = ½ of AC.
Given, AC = 82 cm.
So,
AB = ½ × AC
AB = 82/2
AB = 41 cm
_____
Hope it helps ⚜
If you would like to solve -6 > -30 - 4x for x, you can do this using the following steps:
-6 > -30 - 4x
4x > -30 + 6
4x > -24 /4
x > -24/4
x > -6
The correct result would be x > -6.
