X=27
Hopefully this helped
Answer:
43 15/22 degrees
Step-by-step explanation:
The three angles add to 180 degrees
7x+6 +10x-8 + 5x+3 = 180
Combine like terms
22x +1 = 180
Subtract 1 from each side
22x +1-1 =180-1
22x = 179
Divide each side by 22
22x/22 = 179 /22
x =179/22
The smallest angle is
5x+3
5(179/22) +3
895/22 +3
40 15/22 +3
43 15/22 degrees
The addition property of equality states that if you add the same value to both sides of an equation, the sides of the equation stay equal
∠EGB and ∠AGF are congruent by <u>addition property</u>
Reason:
AB is parallel to CD; Given
Points E, G, H, and F are collinear; Given
The measure of ∠EGF = 180° by angles on a straight line
∠AGF and ∠AGE are adjacent angles, therefore, ∠AGF + ∠AGE = ∠EGF
- ∴ ∠AGF + ∠AGE = 180° by transitive property
∠CHE and ∠AGF are same side interior angles
∠AGF + ∠AGE = ∠CHE + ∠AGF
Therefore, the measure of ∠AGE is equal to the measure of ∠CHE by <u>addition property of </u><u>equality</u>
- ∠EGB + ∠AGE = ∠AGF + ∠AGE by linear pair angles
Therefore;
∠EGB and ∠AGF are congruent by the<u> addition property</u> of equality
Learn more here:
brainly.com/question/13162036
Answer:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "b2" was replaced by "b^2". 1 more similar replacement(s).
STEP
1
:
5a + 5b
Simplify ———————
a2 - b2
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
5a + 5b = 5 • (a + b)
Trying to factor as a Difference of Squares:
2.2 Factoring: a2 - b2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : a2 is the square of a1
Check : b2 is the square of b1
Factorization is : (a + b) • (a - b)
Canceling Out :
2.3 Cancel out (a + b) which appears on both sides of the fraction line.
Final result :
5 / a -b
Step-by-step explanation:
Answer:
2: p x 3
Step-by-step explanation:
