So I'm assuming the answers have to be the same?? if that's the case, 457×32=15904 so you would subtract 994 from 15904. That means the answer is 14,910. I hope this helped!
Answer: x = 22
Explanation:
1) Corresponding sides and correspoding angles of congruent triangles are equal.
2) When you name two congruent triangles the order of the vertices signal which sides and angles are congruents.
That triangle ABC is congruent to triangle DEF means that these are the corresponding parts, which are congruent to each other:
- ∠A and ∠D are congruent
- ∠B and ∠ E are congruent
- ∠C and ∠F are congruent
- Segment AB and segment DE are congruent
- Segment BC and segment EF are congruent
- Segment AC and segment DF are congruent
In the figures, it is given that the segment DF measures (1/2)x - 1 and the corresponding segment AC measures 10 units.
Hence, you set this equation: (1/2)x - 1 = 10
Solving for x:
- (1/2)x = 10 + 1
- (1/2)x = 11
- x = 2(11)
- x = 22 ← answer
First you make the mixed numbers/fractions into improper fractions. After that, you must find the common denominator, the LCM of 9 and 6 (for the 2nd problem). After that, if you can, simplify the fraction to lowest terms, which also includes making it a mixed number/fraction.
I hope this helps! :)
