Answer:
answer = -12
Step-by-step explanation:
substitute y as -3 and z as 4
3(-3) - 2(4) + 5
-9-8+5
-17+5
-12
The location of R on the number line will be 15/7.
Number line:
Number line is used for the visual representation of numbers on a straight line.
Basically, Zero (0) is considered to be the origin of a number line. The numbers to the left of 0 are negative numbers and the numbers to the right of 0 are all positive numbers.
Given,
On a number line,
point S is located at – 3 and
point T is located at 9.
Ratio of S and T = 3:4
We need to find the location of point R on S and T.
According to the given details,
The distance from S to T
=> 3 + 9 = 12
Through this we know that,
=> SR + RT = 12 ---------------------(1)
Based on the ratio,
S/T = 3/4
Which is similar to,
SR/RT = 3/4
So,
SR = 3/4 RT -----------(2)
Apply the value of SR on equation (1),
Then
3/4RT + RT = 12
=> 7/4 RT = 12
=> RT = 12 x (4/7)
=> RT = 48/7
Now the location of point R,
=> OT - RT = 9 - 48/7
=> 15/7
Hence "The location of R on the number line will be 15/7".
To know more about Number line Here
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How many facts does it take to make triangles congruent? Only 3 if they are the right three and the parts are located in the right place.
SAS where 2 sides make up one of the three angles of a triangle. The angle must between the 2 sides.
ASA where the S (side) is common to both the two given angles.
SSS where all three sides of one triangle are the same as all three sides of a second triangle. This one is my favorite. It has no exceptions.
In one very special case, you need only 2 facts, but that case is very special and it really is one of the cases above.
If you are working with a right angle triangle, you can get away with being given the hypotenuse and one of the sides. So you only need 2 facts. It is called the HL theorem. But that is a special case of SSS. The third side can be found from a^2 + b^2 = c^2.
You can also use the two sides making up the right angle but that is a special case of SAS.
Answer
There 6 parts to every triangle: 3 sides and 3 angles. If you show congruency, using any of the 3 facts above, you can conclude that the other 3 parts of the triangle are congruent as well as the three that you have.
Geometry is built on that wonderfully simple premise and it is your introduction to what makes a proof. So it's important that you understand how proving parts of congruent triangles work.
Answer:
(25.732,30.868)
Step-by-step explanation:
Given that in a random sample of 42 people, the mean body mass index (BMI) was 28.3 and the standard deviation was 6.09.
Since only sample std deviation is known we can use only t distribution
Std error = 
t critical for 99% two tailed 
Margin of error
Confidence interval lower bound = 
Upper bound = 
Simply using the given formula ,
I = P × R × t
I = 100 × 10/100 × 3
I = $30
