Answer:
x = 70
y = 110
z = 30
Step-by-step explanation:
all triangles add up to 180
30 + 80 = 110
180 - 110 = 70
x = 70
30 + 40 = 70
70 + 80 = 150
180 - 150 = 30
z = 30
40 + 30 = 70
180 - 70 = 110
y = 110
Answer:


Step-by-step explanation:
The given system is:
4x-3y=8
5x-2y=-11
We make x the subject in the top equation to get:

Plug this expression for x in the bottom equation to get

We expand to obtain

Multiply through by 4

Group similar terms



This means


Answer:
There are 20 boys
Step-by-step explanation:
It seems most likely that ...
... Samantha will save $37.50 because she must first find the 25% sale price before taking the extra 50% reduction
_____
In the real world, it seems probable that Samantha will be offered the choice of using the coupon <em>or</em> the sale discount. If she chooses tht 50% coupon, her savings will be $30. If she chooses the marked sale discount, her savings will be $15.
The scenario above assumes she gets 50% off the sale price of $45, so saves $15+22.50 = $37.50 off the original price.
Answer:
2. 94.0 km/h
Step-by-step explanation:
since the airplane is moving at angle of 54° from the ground, the horizontal component of the velocity is given by cos component
speed of air plane= 160 km/hr
horizontal component of velocity v= 160 cos 54°
= 94.045 km/hr
Thus the truck must travel at an speed of 94.0 Km/hr hence second option is correct.