Answer:
AA similarity. The angles in both are the same.
Edit: I don't know if you need this, but a major accomplishment of King Tut and Ramses was that they encouraged the following of ancient religious beliefs among the Egyptian people
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Hope that this helps!
Let x be the number of students that like both algebra and geometry. Then:
1. 45-x is the number of students that like only algebra;
2. 53-x is the number of students that like only geometry.
You know that 6 students do not like any subject at all and there are 75 students in total. If you add the number of students that like both subjects, the number of students that like only one subject and the number of students that do not like any subject, you get 75. Therefore,
x+45-x+53-x+6=75.
Solve this equation:
104-x=75,
x=104-75,
x=29.
You get that:
- 29 students like both subjects;
- 45-29=16 students like only algebra;
- 53-29=24 students like only geometry;
- 24+6=30 students do not like algebra;
- 16+6=22 students do not like geometry.
The correct choice is D.
Answer:
EF = 8
Step-by-step explanation:
The midsegment EF is half the sum of the parallel bases , that is
x = 
( multiply both sides by 2 to clear the fraction )
2x = 3x - 8 ( subtract 2x from both sides )
0 = x - 8 ( add 8 to both sides )
8 = x
Thus
EF = x = 8
AD = x - 5 = 8 - 5 = 3
BC = 2x - 3 = 2(8) - 3 = 16 - 3 = 13
Answer:
i) Equation can have exactly 2 zeroes.
ii) Both the zeroes will be real and distinctive.
Step-by-step explanation:
is the given equation.
It is of the form of quadratic equation 
and highest degree of the polynomial is 2.
Now, FUNDAMENTAL THEOREM OF ALGEBRA
If P(x) is a polynomial of degree n ≥ 1, then P(x) = 0 has exactly n roots, including multiple and complex roots.
So, the equation can have exact 2 zeroes (roots).
Also, find discriminant D = 
⇒ D = 37
Here, since D > 0, So both the roots will be real and distinctive.
Point P' would be in the II quadrant; the answer is b
