Answer:
Step-by-step explanation:
12 .x=3 y= -3
-x+2(y-1)
=-3+2(-3-1) = -3 -6 -2 = -9 -2 = -11
13.a=3
-5(a^2) -a + 5
=-5(3^2) -3 + 5 = -5(9) +2 = -45 +2 =-43
14. a = -2 b=4
-4a +3(2b-1)
= -4(-2) +3( 2(4)-1 ) =8 +3(8-1) = 8 +3(7) = 8 +21 =29
15. x = -2
3x^2 - 4x +1 =3(-2^2) -4(-2) +1 = 3(4) -4(-2) + 1 = 12 +8 +1 =20 +1 =21
C. (X-2)(x-5)C. Y=(x-2)(x-5)
Answer: j = 13.5
Step-by-step explanation:
Answer:
18 millimeters
Step-by-step explanation:
The perimeter of any shape is the sum of the sides. A trapezoid has four sides, so the perimeter is found by adding the four side lengths together.
The trapezoid in this problem has side lengths of 5 mm, 2 mm, 5 mm, and 6 mm.
Add the sides together.
5 mm + 2 mm + 5 mm + 6 mm
7 mm + 5 mm + 6mm
12 mm + 6 mm
18 mm
The perimeter of the trapezoid is 18 millimeters.
ΔHGE and ΔFGE are congruent by the Angle-Side-Angle Congruence Theorem (ASA).
<em><u>Recall:</u></em>
- A segment that divides an angle into equal parts is known as an angle bisector.
- Two triangles are congruent by the ASA Congruence Theorem if they share a common side and have two pairs of congruent angles.
In the diagram given, Angle bisector, GE, divides ∠HEF into congruent angles, ∠HEG ≅ ∠GEF.
Also divides ∠FGH into congruent angles, ∠HGE ≅ ∠FGE.
Both triangles also share a common side, GE
<em>This implies that: ΔHGE and ΔFGE have:</em>
two pairs of congruent angles - ∠HEG ≅ ∠GEF and ∠HGE ≅ ∠FGE
a shared side - GE
Therefore, ΔHGE and ΔFGE are congruent by the Angle-Side-Angle Congruence Theorem (ASA).
Learn more about ASA Congruence Theorem on:
brainly.com/question/82493
