Combine like terms
8u+3u= 11u
and
9v-5v= 4v
So the answer is 11u+4v
Alright, for 10, let's see 2(x+3). Use the distributive property to multiply 2 with x, which is 2x. Then, multiply 2 with 3, which is 6. Add them together to get 2x+6. For the second part, 4 times x is 4x and 4 times negative 2 is -8. Add them all up and you get 2x+6+4x-8=6x-2. Remember that you can't add a variable with other variables/just numbers, and a minus sign in front of terms in parenthesis means that everything in the parenthesis is negative!
Answer:
∠1 = 50°
∠2 = ∠3 = 130°
Step-by-step explanation:
In an isosceles trapezoid, such as this one, the angles at either end of a base are congruent:
∠1 ≅ 50°
∠2 ≅ ∠3
The theorems applicable to transversals and parallel lines also apply to the sides joining the parallel bases. In particular, "consecutive interior angles are supplementary." That is, angles 1 and 2 are supplementary, for example.
∠2 = 180° -∠1 = 180° -50° = 130°
We already know angle 3 is congruent to this.
∠1 = 50°
∠2 = ∠3 = 130°
_____
<em>Additional comment</em>
It can be easier to see the congruence of the base angles if you remove the length of the shorter base from both bases. This collapses the figure to an isosceles triangle and makes it obvious that the base angles are congruent.
Alternatively, you can drop an altitude to the longer base from each end of the shorter base. That will create two congruent right triangles at either end of the figure. Those will have congruent corresponding angles.
Answer: its −2
Step-by-step explanation:
3*(5*x+2)-(2*(3*x-6))=0
Step by step solution :
STEP
1
:
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
3x - 6 = 3 • (x - 2)
Equation at the end of step
2
:
(3 • (5x + 2)) - 6 • (x - 2) = 0
STEP
3
:
Equation at the end of step 3
3 • (5x + 2) - 6 • (x - 2) = 0
STEP
4
:
STEP
5
:
Pulling out like terms
5.1 Pull out like factors :
9x + 18 = 9 • (x + 2)
Equation at the end of step
5
:
9 • (x + 2) = 0
STEP
6
:
Equations which are never true
6.1 Solve : 9 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
6.2 Solve : x+2 = 0
Subtract 2 from both sides of the equation :
x = -2
One solution was found :
x = -2
