Given that QT is an altitude of triangle QRS, measure of angle QTS=(6x+36), and QR = 2x – 5, find QR. a. 7
b. 9
c. 11
d. 13

Answers

Answer 1
Answer: we know that
if QT is an altitude of triangle QRS
then
the measure of angle QTS is equal to 90°
so
6x+36=90-----> 6x=90-36----> x=54/6
x=9
QR=2x-5-----> QR=2*9-5-----> QR=18-5-----> QR=13

the answer is
QR=13
Answer 2
Answer:

Answer: It is D. 13 on edge-nuity!



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x - 5y - z = 14

(-x)              (-x)                (subtracting x from both sides)

-5y - z = 14 - x

(+5y)       (+5y)                (adding 5y to both sides)

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Smither thinks that a special juice will increase the productivity of workers. He creates two groups of 50 workers and assigns each group the same task (in this case, they’re supposed to staple a set of papers). Group A is given the special juice to drink while they work. Group B is not given the special juice. After an hour, Smither counts how many stacks of papers each group has made. The above experiment could be made more valid by _____. Choose the best answer • running a pretrial or using existing data from a time when nobody drinks the juice as a baseline. • increasing the number of groups to 4 with 25 people in each group. • using coconut water instead of juice. • testing the subjects for longer periods of time

Answers

Answer:

The experiment could be made more valid by:

• Running a pretrial or using existing data from a time when nobody drinks the juice as a baseline.

This option would help establish a baseline productivity level for the workers before introducing the special juice. By comparing the performance of Group A (given the special juice) with the baseline performance, it would be easier to determine whether the special juice indeed had an impact on productivity. This approach helps control for any external factors that may affect productivity, making the experiment more valid and the results more reliable.

The best answer is: running a pretrial or using existing data from a time when nobody drinks the juice as a baseline.
This would make the experiment more valid because it establishes a baseline for comparison. By comparing the productivity of both groups with no juice consumption, any differences observed in productivity between Group A (given the special juice) and Group B (not given the special juice) can be more confidently attributed to the juice itself rather than other factors. This helps to ensure that any observed effects are indeed caused by the special juice and not due to other variables or random chance.

Select the two binomials that are factors of this trinomial x2+10x+16

Answers

So for this trinomial, I will be factoring by grouping. Firstly, what two terms have a product of 16x^2 and a sum of 10x? That would be 8x and 2x. Replace 10x with 2x + 8x:

x^2+2x+8x+16

Next, factor x^2 + 2x and 8x + 16 separately. Make sure that they have the same quantity inside the parentheses: x(x+2)+8(x+2)

Now you can rewrite this as (x+8)(x+2) , which is your final answer.

Answer: (x+8) and (x+2)

Step-by-step explanation:

Rewrite the fraction in simplest form.
10/50

Answers

Answer:

(1)/(5)

Step-by-step explanation:

we have

(10)/(50)

Simplify, divide numerator and denominator by 10

((10/10))/((50/10))=(1)/(5)

Simplest form of the fraction is 1/5.

Given,

Fraction : 10/50

Now,

Greatest common factor of 10, 50:

Greatest number which is a factor of 10 and 50 is 10.

So,

Divide numerator and denominator by 10 to simplify the fraction,

⇒(10/10)/(50/10)

⇒ 1/5

Thus the simplified form is 1/5.

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