You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:
a² = b²+c²
As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
b = √(a²-c²) b = √(10²-4²) b = 9.16
With these values, we can find the hypotenuse in the triangle "B": x = √b²+c² x = √(9.16)²+(4)² x = 10
Answer:
x≤9/2
Step-by-step explanation:
8x+15≤51
Subtract 15
8x+15-15≤51-15
8x+≤36
Divide by 8
8x/8≤36/8
x≤9/2
Answer:
91
Step-by-step explanation:
(2 + 5)(8 +5)
2 + 5 = 7
8 + 5 = 13
7 * 13 = 91
S=cost per student ticket
a=cost per adult ticket
value=(students vlue)+(adults value)
student value=(cost per student) times number of students
adult value=(cost per adult) times number of adults
you sell 8 adult and 6 students and that is a value of 126
8a+6s=126
friend sell12 adult and 13 student and get 209
12a+13s=209
so we have
8a+6s=126 and
12a+13s=209
it might help to simplify the first equaiton by dividing by 2
4a+3s=63
we have
4a+3s=63
12a+13s=209
multiply first equaton by -3
-12a-9s=-189
add to secont equaiton
12a+13s=209
<u>-12a-9s=-189 +
</u>0a+4s=20<u> </u>
4s=20
divide 4
s=5
each student ticket costs $5.00
(-34) + -24
Adding a negative number is the same as subtraction, so you can rewrite the equation as:
(-34) - 24
Now you have -34 minus 24. You can find the answer by adding 34 + 24 then adding a negative sign in front of your answer.
(-34) - 24 = -58
Your answer is 
.
