So
if x is the number she spent on each sister and y is the number she spent on each nephew then
180=3x+2y
she wants to spend 15 dollars more on sisters than nephews
so
x=15+y
solve
we have
180=3x+2y and
x=15+y
subsitute 15+y for x
180=3(15+y)+2y
180=45+3y+2y
180=45+5y
minus 45 both sides
135=5y
divide both sides by 5
27=y
solve for x
x=15+y
x=15+27
x=42
she spent $42 on each sister
Answer:
30.48 miles
Step-by-step explanation:
This can be represented as a right angle triangle with sides 20 miles and 23 miles. The hypotenuse is the distance from the starting point. Pythagoras theorem states that for a right-angled triangle, the square of side of the hypotenuse is equal to the sum of squares of the other two sides. It is given by the equation:
c² = a² + b², where c is the hypotenuse and a,b are the sides
Let a = 20 miles and b = 23 miles
c² = a² + b²
c² = 20² + 23²
c² = 400 + 529
c² = 929
c = √929 = 30.48
c = 30.48 miles
Since the congruent operator is ≅ and since AD is congruent to BD, I'm going to assume that you want to prove that AD is congruent to BD.
1. DE is equal to CD by definition since D is the midpoint of CE.
2. AE is equal to BC since opposite sides of a rectangle are equal to each other.
3. Angle AEC is equal to Angle BCE since all angles in a rectangle are right angles and all right angles are equal to each other.
4. Triangles ADE and BDC are congruent to each other because we have SAS congruence for both triangles.
5. AD is congruent to BC since they're corresponding sides of congruent triangles.
Answer:
31.5 hours studying English
Step-by-step explanation:
2 math hours = 3 english hours
21 math hours = ? english hours
21/2 = 10.5
10.5 * 3 = 31.5
Answer:
(height times length times width)+(1/2 times height times base)
Step-by-step explanation:
thats how you do it
