What decimal is represented by this expanded form? 4 x 10,000 + 5 x 1,000 + 7 x 100 + 8 x 1/100 + 6 x 1/1000
2 answers:
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Answer:
x = 9
Step-by-step explanation:
when two lines intersect, it creates four angles. vertical angles are the angles that are opposite to each other. in the attached image, 1 & 3 are vertical angle pairs, and so are 2 & 4.
since vertical angles are always congruent, 3x - 8 is equal to 2x + 1
3x - 8 = 2x + 1
add 8 to each side
3x = 2x + 9
subtract 2x from each side
x = 9
check your answer:
3x - 8 = 2x + 1
3(9) - 8 = 2(9) + 1
27 - 8 = 18 + 1
19 = 19
Answer: SECOND OPTION.
Step-by-step explanation:
For this exercise it is important to remember "Rigid transformations".
Rigid transformations are those transformation that preserves length. These are the following:
- Reflection.
- Tanslation.
- Rotation.
According to the information given in the exercise, the triangle JKL was translated 12 units vertically and then reflected over the y-axis to create triangle J'K'L'. Therefore, JKL and J'K'L' are congruent.
Knowing the above, you can set up the following equation:
The final step is to solve for "x" in order to find its value. You get that this is: