The perimeter of the shape shown is 63 units
Answer:
definition of midpoint
Reflexive property of congruence
SSS congruence postulate
CPCTC theorem
Step-by-step explanation:
Step 1: Since, M is the midpoint of the line segment QR.
definition of midpoint
Step 2: The reflexive property of congruence states that a line segment or an angle or a shape is always equal to itself.
Reflexive property of congruence.
Step 3: The SSS congruence postulate states that if three sides of a triangle are equal to three sides of another triangle, then the two triangles are congruent.
SSS congruence postulate
Step 4: CPCTC theorem states if two triangles are congruent then the sides and angles are also congruent.
CPCTC theorem.
Answer:
3)
i) 
ii) 
4)
i) 
ii) 
Step-by-step explanation:
We perform a simple linear regression analysis in megastat software to determine the line of best fit for both relations and their associated correlation coefficients.
Answer:
Can't tell if it went through...
1. Shop A = 2x
2. Shop B = 2x - 580
3. Total = Shop A + Shop B
1949 = 2x + 2x - 580
4. Combine like terms
2x + 2x = 4x
1949 = 4x - 580
5. Add 580 to both sides (to remove -580 from right side)
1949 + 580 = 4x - 580 + 580
2529 = 4x
6. Divide both sides by 4 (to get x)
2529 / 4 = 4x / 4
632.25 = x
7. Shop A = 2x
2 * 632.25 = 1264.50
Shop A = 1264.50
8. Shop B = 2x - 580
2 * 632.25 - 580 = 684.50
Shop B = 684.50
Check: Shop A + Shop B = 1949
1264.50 + 684.50 = 1949
Shop A = 1264.50
Shop B = 684.50
Step-by-step explanation:
5x - y = -4 is the standard form