Answer:
x=10
m=3
Step-by-step explanation:
The angles are the same since the sides are the same length (isosceles triangle)
55 = 5x+5
Subtract 5
55-5 =5x+5-5
50 = 5x
Divide by 5
50/5 = 5x/5
10=x
The altitude is a perpendicular bisector so
5m-3 = 2m+6
Subtract 2m from each side
5m-3-2m = 2m+6-2m
3m-3 = 6
Add 3 to each side
3m-3 +3 =6+3
3m =9
Divide by 3
3m/3 = 9/3
m =3
Step-by-step explanation:
2 * 2 for potatoes = £4
3 * 3 for carrots = £9
90p * 3 for turnips = 270p = £2.70
total price = 9+4+2.70=15.70
change = 20 - 15.70 = £4.30
Answer: 40.82
Step-by-step explanation:
Use pythagoras theorem to solve
Root 35 squared + 21 squared = 40.82
I will only be writing the reasons for each and you can respond if you need clarification for anything:
1. given
2. opposite sides of a parallelogram are congruent (and a rectangle is a parallelogram so the properties apply)
3. def rectangle
4. SAS (side angle side congruence theorem)
5. CPCTC (congruent parts of congruent triangles are congruent)
Answer:
84.
Step-by-step explanation:
96 / (7 + 5) + 19 * 4
Use order of operations (PEMDAS* ).
Perform the operation in the parentheses first:
= 96/12 + 19*4
Now the divide and multiplication:
= 8 + 76
and finally the add:
= 84.
*PEMDAS = ParanthesesExponentsMultiplyDivideAddSubtract.
