Answer:
The value of x is 16
Step-by-step explanation:
The angle Bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle
In Δ QPR
∵ QS is the angle bisector
∵ PR is the opposite side
→ By using the rule above
∴ =
∵ PS = x and PQ = 30
∵ PR = 40
∵ RS = PR - PS
∴ RS = 40 - x
∵ RS = 40 - x and RQ = 45
→ Substitute them in the rule above
∴ =
→ By using the cross multiplication
∵ x × 45 = 30 × (40 - x)
∴ 45x = 30(40) - 30(x)
∴ 45x = 1200 - 30x
→ Add 30x to both sides
∵ 45x + 30x = 1200 - 30x + 30x
∴ 75x = 1200
→ Divide both sides by 75
∴ x = 16
∴ The value of x is 16
Answer:<em>M</em><em>A</em><em>R</em><em>K</em><em> </em><em>M</em><em>E</em><em> </em><em>A</em><em>S</em><em> </em><em>B</em><em>R</em><em>A</em><em>I</em><em>N</em><em>L</em><em>I</em><em>E</em><em>S</em><em>T</em>
MEGA Drink = $10+2x
LARGE Drink = 2x
MEDIUM Drink = x
hence, we conclude that
($10+2x) + 2x + x = $45
$10+2x + 2x + x =$ 45
5x + $10 = $45
5x = $45-$10
5x = $35
x = 35÷5
x = 7
MEGA DRINK = (10+2X)
10+2×7
10+14
24
LARGE DRINK = 2X
2×7 = 14
MEDIUM DRINK = X
7
You build one raised garden box that is 12 feet by 6 feet and 10 inches tall. the supply store sells garden soil in cubic yards.
The volume of box is 12 *6 * 10/12 = 60 ft3(1 in =1/12ft)
and 1yd3 = 27ft3
= 60/27 = 20/9 = 2,22 cupid yards
Price of soils = $5 * 2.22 = $11.11
2:5 2 is the boys, 5 is the girls
Let, snake catches the mouse in t hours. Till then mouse is travelling from
( t + 1.5 ) hours.
Distance, travelled by mouse in t hours is, .
To catch the mouse snake had to travel the same distance d in t hours.
So,
Therefore, snake will catch mouse in 1.5 hours.