Answer:
11
Step-by-step explanation:
50-x=3(24-x)
50-x=72-3x
2x=22
x=11years ago when kate's father was 3 times as old as kate=11
Answer:
ΔABC and ΔXYZ are SIMILAR by SSS property of similarity.
Step-by-step explanation:
SSS Similarity Theorem:
Two triangles are said to be similar if their CORRESPONDING SIDES are proportional.
In ΔABC and ΔXYZ, if
, then △ABC∼△YZX
Here, in ΔABC and ΔXYZ
AB = 9, BC = x , AC = 12
Similarly, XY = 3, YZ = 2, ZX = 4
Here,

⇒ Corresponding sides are in the ratio of 3, if BC =6 units
Hence, if BC = 6 units, then the ΔABC and ΔXYZ are SIMILAR by SSS property of similarity.
Answer:
csc (- 30)° = - 2
Step-by-step explanation:
Using the trigonometric relationship
csc x =
and the exact value sin30° = 
sin(- 30)° = - sin30° = -
, thus
csc (- 30)° =
= - 2
Answer:
A. Correct choice is C
B. Correct choice is B
Step-by-step explanation:
4 times the number x is 4x.
The sum of 4 times the number x and 26 is 4x+26.
The sum of 4 times the number x and 26 is 130, then
4x+26=130.
Correct option is option C.
Solve this equation:
4x=130-26,
4x=104,
x=26.
Answer:
negative 2.5
Step-by-step explanation:
It is belove sea level, so it will be between negative 2 and negative 3 on a vertical number line.