2 X { 6 + [ 12 divided ( 3 + 1 ) ] } - 1
3 + 1 = 4
12 divided by 4 is 3
2 X { 6 + [ 3 ] } - 1
6 + 3 = 9
2 X { 9 } - 1
9 X 2 = 18
18 - 1 = 17!
17 is the answer
I used PEMDAS
P - Parenthesis
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
[in order that your supposed to do]
Answer: m∠ABF = 120°
Concept:
Here, we need to know the idea of the <u>corresponding angle theorem </u>and <u>linear pair postulate</u>.
The corresponding angle theorem states that if a transversal cuts two parallel lines, their corresponding angles are congruent.
The linear pair postulate states that two angles that form a linear pair are supplementary.
Solve:
<u>Given information</u>
m∠ABF = m∠ABF = 2x + 3x
- According to the corresponding angle theorem, ∠ABF is congruent to ∠BCI which is 2x + 4x.
m∠BCH = 3x
Total angle = 180°
- ∠ABF and ∠BCH are linear pairs which means they form a supplementary angle.
<u>Given equation</u>
m∠ABF + m∠BCH = Total Angle
<u>Substitute values into the equation</u>
2x + 4x + 3x = 180
<u />
<u>Combine like terms</u>
9x = 180
<u>Divide 9 on both sides</u>
9x / 9 = 180 / 9
x = 20
m∠ABF = 2x + 4x = 2 (20) + 4 (20) = 40 + 80 = <u>120°</u>
Hope this helps!! :)
Please let me know if you have any questions
1x24, 2x12, 3x8 are 3 ways that get 24
<u>Question 6</u>
1) , , O is the midpoint of , (given)
2) are right angles (perpendicular lines form right angles)
3) are right triangles (a triangle with a right angle is a right triangle)
4) (a midpoint splits a segment into two congruent parts)
5) (LL)
<u>Question 7</u>
1) are right angles),
2) (reflexive property)
3) are right triangles (a triangle with a right angle is a right triangle)
4) (LL)
5) (CPCTC)
<u>Question 8</u>
1) , point D bisects (given)
2) are right angles (perpendicular lines form right angles)
3) are right triangles (a triangle with a right angle is a right triangle)
4) (definition of a bisector)
5) (reflexive property)
6) (LL)
7) (CPCTC)
Answer:
? = 45
Step-by-step explanation:
the inner and outer triangles are similar ( AA postulate )
Then the ratios of corresponding sides are in proportion, that is
= , that is
= ( divide numerator/denominator by 8 to simplify left side )
= ( cross- multiply )
7(105 + ? ) = 1050 ← distribute parenthesis on left side
735 + 7? = 1050 ( subtract 735 from both sides )
7? = 315 ( divide both sides by 7 )
? = 45