Step-by-step explanation:
Let the larger number be y and the smaller be x.
All you need to do is convert the English statements to mathematical statements.
y = 3x – 1 /the larger of two numbers is 1 less than 3 times the smaller number/
2x + y = 18 + y /if twice the smaller number is increased by the larger number, the result is 18 more than the larger number/
Solve the second equation.
2x + y = 18 + y
2x = 18
x = 9
Then substitute the value of x in the first equation.
y = 3x – 1 = 3(9) – 1 = 27 – 1 = 26
Proof:-
In ∆XYZ and ∆VWZ
Hence
∆XYZ∆VWZ(Side-Angle-Side)
Answer:
60
Step-by-step explanation:
Since the sides are equal, the angles have to be equal
The angles of a triangle add to 180
180/3 = 60
Angle A = 60
{0.15x+0.06y=930 //*20
{x+y=8000 //*3
{3x+1.2y=18600
-
{3x+3y=24000
-1.8y=-5400
y=3000
x=8000-3000=5000
Planner need to invest $5000 with 15% rate and $3000 with 6% rate
Answer:
256
Step-by-step explanation:
1,4,16,64,256
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