2 ≤ 2w +4 ≤ 12
Subtract 4 from all 3 terms:
-2 ≤ 2w ≤ 8
Divide all 3 terms by 2:
-1 ≤ w ≤4
Triangle ACB and triangle ABD share one side AB. This means they have one side that is congruent; side AB
Angle ABD = Angle ABC
Angle BAC = Angle BAD
The pair of angles that are equal lie on the side AB
Hence, triangle ABC and triangle ABD are congruent by Angle-Side-Angle (ASA)
Answer: Second option
Answer:
The answer to your question is below
Step-by-step explanation:
Process
To answer if they are right triangles or not use the Pythagorean theorem which states that the square of the hypotenuse equals the sum of the square of the legs.
a) 25² = 20² + 7²
625 = 400 + 49
625 ≠ 449 It is not a right triangle
b) 26² = 24² + 10²
676 = 576 + 100
676 = 676 it is a right triangle
c) 13² = 8² + (√10)²
169 = 64 + 10
169 ≠ 74 it is not a right triangle
d) 52² = 48² + 20²
2704 = 2304 + 400
2704 = 2704 it is a right triangle
Answer:
The expression to determine the total cost in dollars is
.
Step-by-step explanation:
Given:
Service charge to make a photo book = $20
Cost per extra page = $0.75
Cost to ship the complete photo book = $5
We need to write expression to determine the total cost in dollars.
Solution:
Let the number of extra pages be denoted by 'x'.
Also Let the Total cost be denoted by 'y'.
Now we can say that;
Total cost will be equal to sum of Service charge to make a photo book and Cost per extra page multiplied by number of extra pages and Cost to ship the complete photo book.
framing in equation form we get;

Hence the expression to determine the total cost in dollars is
.