Answer:
A= 3
Step-by-step explanation:
4a - 7 = 5
move the constant to the right
4a= 5+7
divide
4a=12
Awnser:
A= 3
Simplified expression for total amount spent is 10(2.05 + m)
Step-by-step explanation:
- Step 1: Write expression for expense on joining cooking club for m months.
Expense = 8.50 + 6.25 × m
- Step 2: Write expression for expense on joining movie club for m months.
Expense = 12 + 3.75 × m
- Step 3: Calculate the total amount spent on both clubs
Total Amount = 8.50 + 6.25m + 12 + 3.75m = 20.5 + 10m = 10(2.05 + m)
Let us first define Hypotenuse Leg (HL) congruence theorem:
<em>If the hypotenuse and one leg of a right angle are congruent to the hypotenuse and one leg of the another triangle, then the triangles are congruent.</em>
Given ACB and DFE are right triangles.
To prove ΔACB ≅ ΔDFE:
In ΔACB and ΔDFE,
AC ≅ DF (one side)
∠ACB ≅ ∠DFE (right angles)
AB ≅ DE (hypotenuse)
∴ ΔACB ≅ ΔDFE by HL theorem.
Answer:
Rotate counter clockwise about the center point 180 degrees
Step-by-step explanation:
You can use transformations to preserve shape and size but move a shape or change its position. Transformations include:
- reflection - a flip across an axis
- rotation - a turn around a point
- translation - a slide a specific distance and direction
To map the red into the blue, you can rotate it counter clockwise about the center point which the red and blue shapes share 180 degrees. It will land exactly on the red.
