Answer:
RQ = 18
Step-by-step explanation:
KR is an angle bisector and divides the opposite side into segments that are proportional to the other two sides, that is
=
, substitute values
=
( cross- multiply )
45(38 - x) = 50x ← distribute left side
1710 - 45x = 50x ( add 45x to both sides )
1710 = 95x ( divide both sides by 95 )
18 = x
That is RQ = 18
Answer:
Eldest: $298500
Middle: $165250
Youngest: $149250
Explanation:
We can show the siblings like this:
e=2y (eldest)
m=16000+y (middle)
To find the value of y, or the youngest sibling, we use an equation.
2y+16000+y+y=613000
Simplify:
4y+16000=613000
Subtract 16000 on both sides:
4y=597000
Divide both sides by 4:
y=149250
The youngest received $149250.
Knowing this, we can plug in the numbers into the original formulas:
e=2(149250)=298500 ...or $298500
m=16000+149250=165250 ...or $165250
y=149250 ...or $149250
Add all those numbers up, and you reach $613000.
Answer:
See explanation
Step-by-step explanation:
1. The first figure shows triangular prism. The volume of the triangular prism is

The base of this triangular prism is the triangle with the base of 7 cm and height of
cm (it is not seen).
The base area is

and the volume of the prism is

Just substitute the length of the height and calculate the volume.
2. The second figure shows square pyramid. The volume of the square pyramid is

The base of this square pyramid is the square with the side length of 4 yd.
The base area is

and the volume of the pyramid is

Answer:

Step-by-step explanation:
Given equation:

Divide both sides by 5:

Cube both sides:




Add 4 to both sides:

Divide both sides by 3:
