Answer: AA similarity theorem.
Step-by-step explanation:
Given : AB ∥ DE
Prove: ΔACB ≈ ΔDCE
We are given AB ∥ DE. Because the lines are parallel and segment CB crosses both lines, we can consider segment CB a transversal of the parallel lines. Angles CED and CBA are corresponding angles of transversal CB and are therefore congruent, so ∠CED ≅ ∠CBA.
Also ∠C ≅ ∠C using the reflexive property.
Therefore by AA similarity theorem , ΔACB ≈ ΔDCE
- AA similarity theorem says that if in two triangles the two pairs of corresponding angles are congruent then the triangles are similar .
About Slope - Intercept Form:
- y = mx + b
- m is the slope
- b is the y-intercept
About Standard Form:
- Ax + By = C
- A & B & C are integers
- A & B are both non-zero
- This form is good to use when wanting to find the x & y intercepts of a line
About Point - Slope Form:
- Y - Y1 = m (x -X1)
- Y1 & X1 is a point on the line
- The form allows you to identify the slope & the point on the line
Other Info:
- Remember, y comes before the x
- An ordered pair from your problem: (-3,1), -3 is x & 1 is y & x is before the y
- An ordered pair from your problem: (3,5), 3 is x & 5 is y & x is before the y
- For the graph, the vertical line is y
- For the graph, the horizontal line is x
Hope this information helps!!! :)
Answer:
volume = 450 mm³
Step-by-step explanation:
Given:
- height = 18 mm
- area of base = 25 mm²
Volume of a rectangular prism = area of base x height
⇒ volume = 25 x 18 = 450 mm³
Here is you're answer:
In order to cross multiply you have to multiply the numerator and denominator of the first fraction by the bottom number of the second fraction and see if the equation is still true:
Therefore you're answer is "3 × 1 = 5 × 10."
Hope this helps!
