Answer:
m∠R = 39 degrees
Step-by-step explanation:
As complementary angles add up to 90 degrees, we can set up an equation to get x then find the measure of ∠R:
m∠R + m∠S = 90
2x+7+4x-13=90
6x+7-13=90
6x-6=90
6x=96
x=16
Since m∠R = (2x+7), 2x+7 would be 2(16)+7 or 39 degrees. So in conclusion, m∠R = 39 degrees
Answer:
There is a total 50 questions.
Step-by-step explanation:
Let x = total questions in the exam
Since 82% of the test was scored correctly, that means 18% of the student's exam was scored incorrectly.
With this information we can write:
(Given that the student made 9 mistakes)
(divide 18% on both sides)
∴ There was a total of 50 questions in the examination.
Answer:
t > -7
Step-by-step explanation:
To solve for t, first add 5 to both sides:
-2t - 5 < 9
-2t < 14
Divide each side by -2, and flip the inequality because we are dividing by a negative number:
-2t < 14
t > -7
So, the solution is t > -7
Answer:
Line D represents a proportional relationship.
Step-by-step explanation:
In an easy way to explain what a proportional relationship is, it is basically a line graph that passes through the origin point. When a line graph passes through the origin point (0,0), it is proportional.
Other graphs do not intersect the origin points so they are not proportional.
D. 50 mph
Going upstream takes longer because of the flow of the water