Answer:
3x - 6
Step-by-step explanation:
Segment YB = x + 3
Segment BW = 2x - 9
Add the two segments.
x + 3 + 2x - 9
3x - 6
The diagonal YW is 3x - 6 units long.
Answer:
remainder 25
Step-by-step explanation:
if 42,325 is divided by 47the result is 25,
firstly divide 42,325 by 47, you will see that it can only divide 42,325 which is 900 without any remainder,then the 900 is the whole number and 25 is remaining from the subtraction of 42,325-42,300=25 ,and 25 has to be divided by 47 but it is not up to 47,then we have it as a remainder,
so 25 is the remainder
Answer: 3/13
Step-by-step explanation:
3 red
10 silver
13 total
picking red: 3/13
Answer:
x = 5
Step-by-step explanation:
Using similar triangles theorem
In similar triangles, ratio of their corresponding sides are equal.
Let the point where a line cuts BC = D
Length (AB/BD) = length(AC/CD)
15/3x = 9/(2x-1)
Cross multiply
15(2x-1) = 9(3x)
Expand the brackets
30x -15 = 27x
Collecting like terms
30x-27x = 15
3x = 15
Divide through by 3
x= 15/3
x= 5
Answer:
BC = 20.225
Step-by-step explanation:
Call the point on CD where the triangle vertex is point X.
Then we have ...
BC·tan(20°) = CX
DE·tan(25°) = DX
CX +DX = AB
AB·tan(20°) = AE
AE +DE = BC
Now we can write BC in terms of itself:
BC = AE +DE = AB·tan(20°) +DE
BC = (CX +DX)·tan(20°) +DE = (BC·tan(20°) +DE·tan(25°))·tan(20°) +DE
BC(1 -tan(20°)²) = DE(1 +tan(25°)·tan(20°))
BC = DE(1 +tan(25°)·tan(20°))/(1 -tan(20°)²) . . . . where DE = 15 cm
BC ≈ 20.225 cm
