The answer is given by the empirical rule, 68%.
Answer:
Angle R is equal to 35 and DE is equal to 48
Step-by-step explanation:
In similar triangles, like these, the angles will always be the same to its correspondent. Angle E in the other triangle is 35 degrees so R, its corresponding angle, will be the same. So therefore R is 35.
This is not the same case for sides. There will always be a ratio between both triangles. The ratio in this case is 1.2 to 1. So multiply RP (DE's corresponding side), by 1.2. You will get 48. So therefore DE is equal to 48.
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Answer:
(10, -2)
Step-by-step explanation:
The inequalities are:
y < x - 7 (1)
y < (1/5)x - 2 (2)
To solve this problem, we have to solve both equations simultaneously and then find the value of x and y that makes the inequality true.
To solve the inequality, subtract inequality (2) from inequality (1) which gives:
0 < (4/5) x - 5
-(4/5)x < -5
Dividing both sides of the equation by -4/5 gives:
-(4/5)x / (-4/5) < -5/ (-4/5)
x > 6.25
Put x > 6.2 in inequality 1
y < 6.25 - 7
y < -0.75
The solution of the inequality is x > 6.25 and y < -0.75
From the list of option, the correct answer is (10, -2) since 10 > 6.25 and -2 < -0.75
