3 / 4 w + 8 = 1 / 3 w - 7
Multiply by LCD = 4 ( w + 2 )(3w - 7)
3(3w-7) = 4(w + 2)
3*3w - 3*7 = 4 * w + 4 * 2
9 w - 21 = 4 w + 8
Add 21 to both sides :
9w - 21 + 21 = 4w + 8+ 21
9w = 4w + 29
9w - 4w = 29
5 w = 29
Divide both sides by 5 :
5 w / 5 = 29 / 5
w = 29 / 5
hope this helps!
Answer:
yes, if AB ≅ DE
Step-by-step explanation:
Triangles are said to be congruent if they have the same sides and the same angles.
The following measures are used to determine if triangles are congruent:
1) Angle-side-angle: If two angles and a side of a triangle is equal to two angles and corresponding side of another triangle, then they are congruent.
2) Side-side-side: If all three sides of a triangle is equal to three sides of another triangle, then the two triangles are congruent.
3) Side angle side: If two sides and an included angle of a triangle is equal to the two sides and corresponding angle of another triangle, then they are congruent.
4) Hypotenuse - leg: If the hypotenuse and one leg of a triangle is equal to the hypotenuse and leg of another triangle then they are congruent.
From the triangles DEF and ABC, already, they already have one equal triangle that is ∠F = ∠B and an equal side i.e DF = AC.
To satisfy congruence, two sides and an angle have to be equal, therefore if AB = DE then the two triangles would be congruent
No, because it has nothing to do with breaking the numbers down
F(10) = (10)^2 + 1
= 100 + 1
= 101
Answer:
5/2
Step-by-step explanation:
Phase shift refers to the sin graph movement left or right.
We would have to set x to 1, so factor out the 2.
(2x-5)-> 2(x-5/2)
From this, the phase shift would be 5/2 to the right.
