Answer:
First equation x=2, Y=9, Second Eq, x=2, y=1
Step-by-step explanation:
X+Y=11
2X-Y=-5 by substitution Y=11-X
So, 2x-(11-x)=-5, 2x-11+x=-5, 3x=6, x=2. Thus, Y=11-2=9
2x+y=5
3x-2y=4
so, y=5-2x
Thus, 3x-2(5-2x)=4
3x-10+4x=4, 7x=14, x=2, Thus, Y=5-2(2)= 1
Answer:
$157.50
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year,
then, solving our equation
I = 750 × 0.07 × 3 = 157.5
I = $ 157.50
The simple interest accumulated
on a principal of $ 750.00
at a rate of 7% per year
for 3 years is $ 157.50.
Answer:
Show ΔBCD ≅ ΔGFE, so ∠C ≅ ∠F. Base angle of an isosceles triangle are congruent, so ΔACF is isosceles.
Step-by-step explanation:
Informally, subtract DE from CE and DF. This will show CD ≅ EF.
Then ΔBCD ≅ ΔGFE by the HL theorem for right triangles.
Corresponding parts of congruent triangles are congruent, namely the angles C and F.
Since base angles of ΔACF are congruent, it is isosceles.
Answer:
3 < x < 8
Step-by-step explanation:
Solve each part separately
2x - 1 > 5 ( add 1 to both sides )
2x > 6 ( divide both sides by 2 )
x > 3 , that is
3 < x
and
3x - 5 < 19 ( add 5 to both sides )
3x < 24 ( divide both sides by 3 )
x < 8
Then putting the two together
3 < x < 8
Answer:
The true statements are (D) and (E). This is a square with sides equal to 5 units so that means that its perimeter is 4×(5 units) or 20 units and its area is (5 units)×(5 units) or 25 units^2.
