Answer:
9 years old.
Step-by-step explanation:
Since the ages of all of these students are being represented in relation to the middle student's age then we can create formulas for each student and then apply them to the formula for the sum of their ages and solve for the middle child's age (M) like so... (oldest child's age is represented by variable O and youngest child's age is represented by variable Y)
O = M + 6
Y = M - 3
30 = (M+6) + M + (M-3) ... combine like terms
30 = 3M + 3 ... subtract 3 from both sides
27 = 3M ... divide both sides by 3
9 = M
Now we know that the middle child is 9 years old.
Answer:
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Step-by-step explanation:
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Answer:Rigid transformations preserve segment lengths and angle measures.
A rigid transformation, or a combination of rigid transformations, will produce congruent figures.
In proving SAS, we started with two triangles that had a pair of congruent corresponding sides and congruent corresponding included angles.
We mapped one triangle onto the other by a translation, followed by a rotation, followed by a reflection, to show that the triangles are congruent.
Step-by-step explanation:
Sample Response: Rigid transformations preserve segment lengths and angle measures. If you can find a rigid transformation, or a combination of rigid transformations, to map one triangle onto the other, then the triangles are congruent. To prove SAS, we started with two distinct triangles that had a pair of congruent corresponding sides and a congruent corresponding included angle. Then we performed a translation, followed by a rotation, followed by a reflection, to map one triangle onto the other, proving the SAS congruence theorem.
The minimum score to join the genius society is 130.
What is the probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Given
A genius society requires an IQ that is in the top 2% of the population in order to join.
If an IQ test has a mean of 100 and a standard deviation of 15.
The top 2%, you have to have an IQ higher than 98% of the population (100% - 2%).
This is also known as the 98th percentile.
For this problem, you are given the probability and need to determine the raw score.
The closest probability is 0.97982 and that corresponds to a z-score of 2.05.
Hence, the minimum score to join the genius society is 130.
To know more about probability click the link given below.
brainly.com/question/743546
