Solution:
It is given that two triangles Δ ABC and Δ X Y Z are similar by Side -Side - Side(SSS) Similarity theorem.
So, the Statement which is given, that is →→∠B ≅ ∠Y and ∠B ≅ ∠Z, is inadequate for similarity criterion by SSS, as these statement are about angles of Triangles,not sides, which can't be true.
So, if the two triangles are Similar by SSS criterion , then the appropriate mathematical statement must be,
⇒
Answer:
x-values
independent variable
Step-by-step explanation:
x (the independent variable) is the domain
y (the dependent variable) is the range
Answer:
<h3>Q1</h3>
The graph of y = f(x), has vertex at (1, -2)
<u>The vertex of a function f(x - 3) is going to be:</u>
<h3>Q2</h3>
- <em>The graph of y = f(x) has the line x = 5 as an axis of symmetry. The graph also passes through the point (8,-7). Find another point that must lie on the graph of y = f(x).</em>
The axis of symmetry is at the same distance from the symmetric points.
x = 5 is a vertical line. The point (8, -7) is 3 units to the right. So the mirror point will be 3 units to the left and have same y-coordinate: x = 5 - 3 = 2
The point is (2, -7)
<h3>Q3</h3>
The graph in blue is the translation of the red to the left by 2 units.
<u>So the equation is:</u>
<h3>Q4</h3>
y = h(x) is graphed
- h(7) = 5
- h(h(7)) = h(5) = -1
<h3>Q5</h3>
The graph of the function y = u(x) given
This is a odd function.
The coordinates of u(x) and u(-x) add to zero because u(-x) = -u(x)
<u>Therefore:</u>
- u(-2.72) + u(-0.81) + u(0.81) + u(2.72) =
- [u(-2.72) + u(2.72)] + [u(-0.81) + u(0.81)] =
- 0 + 0 = 0
Answer:
<em>The ladder touches the wall at 24 feet from the ground.</em>
Step-by-step explanation:
The wall of the building, the ground, and the ladder form a right triangle, whose longer side is the length of the ladder.
In any right triangle, we can apply Pythagora's theorem to find any missing side length.
The ladder is 26 feet in length, the distance from the bottom of the ladder and the building is 10 feet. Calling H to the distance above the ground where the ladder touches the wall, then:
Calculating:
Solving:
H=24 feet
The ladder touches the wall at 24 feet from the ground.
Let's solve your equation step-by-step.
2x
/5 + 3 = x/10 - 1
Step 1: Simplify both sides of the equation.
2x
/5 + 3 = x/10 - 1
2/5x + 3 = 1/10x - 1
Step 2: Subtract 1/10x from both sides.
2/5x + 3 - 1/10x = 1/10x - 1 - 1/10x
3/10x + 3 = -1
Step 3: Subtract 3 from both sides.
3
/10x + 3 - 3 = -1 - 3
3/10x = -4
Step 4: Multiply both sides by 10/3.
(10/3) * (3/10x) = (10/3) * (-4)
x = -40/3
