Answer:
(1)3(x+3)
(2)5(x+3)
Step-by-step explanation:
(1) common taking
(2) common taking
Answer:
No she is not correct
Step-by-step explanation:
She is not correct because “value of expressions” mean the result which for this it is 16-13 =3 and she is wrong. please mark me brainly! Hope this helps! :D
Answer:
x = 9
Step-by-step explanation:
Simplifying
6x + -24 = 2x + 12
Reorder the terms:
-24 + 6x = 2x + 12
Reorder the terms:
-24 + 6x = 12 + 2x
Solving
-24 + 6x = 12 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
-24 + 6x + -2x = 12 + 2x + -2x
Combine like terms: 6x + -2x = 4x
-24 + 4x = 12 + 2x + -2x
Combine like terms: 2x + -2x = 0
-24 + 4x = 12 + 0
-24 + 4x = 12
Add '24' to each side of the equation.
-24 + 24 + 4x = 12 + 24
Combine like terms: -24 + 24 = 0
0 + 4x = 12 + 24
4x = 12 + 24
Combine like terms: 12 + 24 = 36
4x = 36
Divide each side by '4'.
x = 9
Simplifying
x = 9
Answer:
4.615 in
Step-by-step explanation:
Triangle ABC and ABD are similar because they have two corresponding congruent triangles that is right angle and ∠A. Triangle ABC and BCD are similar because they have two corresponding congruent triangles that is right angle and ∠C. Therefore Triangle ABC, ABD and BCD are similar. Since they are similar, then their sides are proportional in length.
In triangle ABC, using Pythagoras theorem:
AC² = AB² + BC²
AC² = 12² + 5²
AC² = 144 + 25 = 169
AC² = 169
AC = √169 = 13 in
Using similar triangle for ΔABC and ΔABD:
