The two-column proves that ΔMNP ≅ ΔNPQ by the ASA Congruence Theorem is shown in the image attached below (see attachment).
<h3>What is the ASA Congruence Theorem?</h3>
The ASA congruence theorem states that two triangles that have two pairs of congruent angles and a pair of included congruent sides are considered congruent triangles.
We are given that both triangles have two pairs of congruent angles, by the reflexive property, we can state that QP ≅ QP in each triangle.
By this, it means both triangles have two pairs of congruent angles and a pair of congruent included sides. Therefore, ΔMNP ≅ ΔNPQ by the ASA Congruence Theorem.
Thus, the two-column proves that ΔMNP ≅ ΔNPQ by the ASA Congruence Theorem is shown in the image attached below (see attachment).
Learn more about ASA congruence theorem on:
brainly.com/question/2102943
Answer:
Ben ate 1 1/2 more chocolate than Alice
Step-by-step explanation:
2 5/8 - 1 1/8 = 1 4/8
Simplify: 1 1/2
Ben ate 1 1/2 more chocolate than Alice.
Answer:
Step-by-step explanation:
Factor out x.
Simplify.
Answer:
<h2>48 600 yd²</h2>
Step-by-step explanation:
If a shape is scaled by a certain scale factor then :
<u><em>the area of the new shape</em></u> = (<em>the scale factor</em>) times (<em>the area of the original object</em>)
………………………
the new recreation complex was created by enlarging the old community soccer field by a scale factor of 9
Then
The area of the new recreation complex = 9² × 600 = 81×600 = 48 600 yd²
Area of a rectangle is A = L*W.
Here, A = 56 cm^2 (not 56 cm).
= (56 cm^2)=( L )( W ) = (x+2)*(2x-5) = 2x^2 - 5x + 4x - 10
Simplifying, 2x^2 - 5x + 4x - 10 = 56, or 2x^2 - x - 66 = 0.
Solve this using the quadratic formula:
-(-1) plus or minus sqrt ( (-1)^2 - 4(2)(-66) )
x = -------------------------------------------------------------
2(2)
Finish the work: find x. Most likely you will need to check both of the roots. Keep in mind that x will likely be a positive number.