He could use the mode of 89.
Answer:
Step-by-step explanation:
5) x + 5.4 < -1.6
x < -1.6 - 5.4
x < -7
6) x + 7.5 > -2.5
x > -2.5 - 7.5
x > -10
7) 3 ≤ 1/3 + x
x ≥ 3 - 1/3
x ≥ 5/3
Answer:
(2,-3)(6,5)
Step-by-step explanation:
We can use substitution to get the equation: x^2-6x+5 = 2x-7
Solve:
x^2-6x+5 = 2x-7
x^2 = 8x-12
x^2-8x+12 = 0 (we now have a polynomial)
(x-6)(x-2) = 0 (set each equation to equal 0 and solve)
x-6 = 0 --> x=6
x-2 = 0 --> x=2
To get the Y coordinates:
y=2(2)-7 --> y = -3
y = 2(6)-7 --> y = 5
Check work:
5 = 6^2-6(6)+5 --> 5 = 36-36 +5 --> 5=5
-3 = 2^2-6(2)+5 --> -3 = 4-12+5 --> -3=-3
Let the present age of student be x
Present of teacher will be 4x
After 20 years,
Age of student = x + 20
Age of teacher = 4x + 20
According to the given condition after 20 years,
x + 20 = (4x + 20)/2
x + 20 = 2x + 10
2x - x = 20 - 10
x = 10
So student's present age is 10 years while teacher's is 4 x 10 i.e 40 years.
Hope This Helps You!
It seems that you missed the essential details for this question, but anyway, I have found the complete question. So given that angles m<A=32 and m<B=55, let us find first for the measure of angle c. So m<C= <span>180 - 32-55 = 93, so it is 93. Based on these measurements, Triangle ABC is an obtuse triangle. By definition, an obtuse triangle is a triangle in which one of its angles is obtuse or which measures more than 90 degrees. Hope this answer helps.</span><span>
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