Answer:
1) Yes, it is a right angle triangle
2)Yes, it is a right angle triangle
3) No, they are not similar.
Step-by-step explanation:
Dimension of triangle A = 48, 55 & 73
Dimension of triangle B = 36, 77 & 85
For any of the triangles to be a right angled one, then;
c = √(a² + b²)
Where a,b & c are side dimensions of a triangle.
Thus;
Triangle A: c = √(48² + 55²)
c = √5329
c = 73
This tallies with what we are given and so it is a right angled triangle.
Triangle B: c = √(36² + 77²)
c = √(7225)
c = 85
Similar to the third side dimension of 85, thus it is true.
For Triangle A & B to be similar, the ratio of the 3 corresponding sides must be in a whole number ratio.
Thus, we have;
48/36 = 1.5
55/77 = 5/7
73/85 = 73/85
Since the ratios are not similar, then we can say that the triangles are not similar.
Answer:
1.) a. i) f(4) = 2, ii.) f(-3)= -5 b.) x = -5, x = 2, c.) choice(2) -3 < x < 5
Step-by-step explanation:
Each problem
1.) a.) i.) we see f(4) = 2 on the graph the line goes through point (4, 2)
a.) ii.) f(-3) = -5
1.) b.) There are only 2 zeros for f(x) which intersect the x-axis in only 2 points.
x = -5 and x = 2 are the only 2 zeros.
1.) c.) only for -3 < x < 5 is the function f(x) increasing.
choice (2.)
You can fill up 7.5 liter glasses with a 4.5 liter pitcher. This is because 4.5 <span>÷ .6 = 7.5. Just use long division! :)</span>
Answer:
Step-by-step explanation:
A. k/5 = 3: Isolate k by multiplying both sides of this equation by 5:
k = 15
B. 3.5d = 70; Divide both sides by 3.5, obtaining d = 20
C. 4 1/2 = 1 1/2n; Rewrite 4 1/2 and 1 1/2 as improper fractions:
9/2 = (3/2)n. Now multiply both sides by (2/3): 3 = n
Answer:
3
Step-by-step explanation:
To evaluate the expression, we have to substitute the variable in the expression, z, for its stated value. Given that z = 6, substitute 6 for the z in the expression and solve:
Thus, the answer is 3.
