Let x = smaller number
Let y = bigger number
y = 7x + 4
x + y = 92
x + (7x + 4) = 92
8x + 4 = 92
8x = 88
x = 11
y = 7x + 4
y = 81
Step-by-step explanation:
Let's multiply and divide the given fraction by the conjugate of the denominator:
We can see here that
150x0.8=120 (correct answers)
150-120=30 (incorrect answers)
she answered 30 questions incorrectly
7.3 x 5 = 36.5 and 5.9 x 2 = 11.8
so 36.5 + 11.8 = 48.3 and
54.9 - 48.3 = 6.6
If the triangle has a angle of 90°, you can solved this exercise by applying the Pythagorean Theorem, which is:
h²=a²+b²
h=√(a²+b²)
h: It is the hypotenuse
(The opposite side of the right angle and the longest side of the triangle).
a and b: They are the legs
(The sides that form the right angle).
The result of h=√(a²+b²), should be 17.1 (The longest side given in the problem). So, let's substitute the values of the legs into the Pythagorean equation:
h=√(a²+b²)
h=√((9.2)²+(14.5)²)
h=17.1
Therefore, the answer is:
Yes, the given measures can be the lengths of the sides of a triangle.