Answer:
a. x = 12
b. x = 4
Step-by-step explanation:
a. RECTANGLE
ABCD is a rectangle, AC and BD are its diagonals.
Diagonals of a rectangle are congruent.
Therefore,
AC = BD
10x + 8 = 9x + 20
10x - 9x = 20 - 8
x = 12
b. RHOMBUS
Diagonal of a rectangle bisect opposite angles.
Therefore,
(5x + 3)° = (2x + 15)°
5x + 3 = 2x + 15
5x - 2x = 15 - 3
3x = 12
x = 12/3
x = 4
Answer:
A rectangular pyramid
Step-by-step explanation:
Answer:
3) 8^10
Step-by-step explanation:
Use formula: (same base)
a^m × a^n = a^m+n
So,
8^3 × 8^7 = 8^3+7
= 8^10
Solution
Note: Area of Kite
From the question we have
Therefore, y = 2
Answer:
Let's solve your system by substitution.
x+2y=6;x−y=3
Step: Solvex+2y=6for x:
x+2y=6
x+2y+−2y=6+−2y(Add -2y to both sides)
x=−2y+6
Step: Substitute−2y+6forxinx−y=3:
x−y=3
−2y+6−y=3
−3y+6=3(Simplify both sides of the equation)
−3y+6+−6=3+−6(Add -6 to both sides)
−3y=−3
−3y
−3
=
−3
−3
(Divide both sides by -3)
y=1
Step: Substitute1foryinx=−2y+6:
x=−2y+6
x=(−2)(1)+6
x=4(Simplify both sides of the equation)
Answer:
x=4 and y=1
Step-by-step explanation:
Answer:
x=4 and y=1