Answer:
C
Step-by-step explanation:
Both triangles have three angles of the same value.
Remember that the angles in all triangles add up to 180°.
Let's use that to find out the unknown angles.
For the first triangle:
180 - 82 - 43 = 55°
55° is also in the second triangle.
Let's check with the second triangle:
180 - 82 - 55 = 43°
43° is also in the first triangle.
Therefore, both triangles are similar as the angles in both triangles are the same - 82°, 43° and 55°.
Hence, C.
Answer:
Step-by-step explanation:
Begin the solution by squaring both sides of the given equation. We get:
(3x - 4)^2 = 2x^2 - 2x + 2, or:
9x^2 - 24x + 16 = 2x ^2 - 2x + 2
Combining like terms results in:
7x^2 - 22x + 14 = 0
and the coefficients are a = 7, b = -22, c = 14, so that the discriminant of the quadratic formula, b^2 - 4ac becomes (-22)^2 - 4(7)(14) = 92
According to the quadratic formula, the solutions are
-b ± √discriminant -(-22) ± √92 22 ± √92
x = ------------------------------- = ----------------------- = ------------------------
2a 14 14
You divide 4.5 by 3. The answer is 1.5.
Answer:
(30) = 4
Step-by-step explanation:
g(x) = 8x -2
Let g(x) = y
y = 8x -2 (note: y is the range and x is the domain, we need to rearrange to make x the range and y the domain instead)
y + 2 = 8x
x = (1/8) (y + 2)
hence the inverse of g(x) is (y) = (1/8) (y + 2)
(30) = (1/8) (30 + 2) = 4
Answer:
175
Step-by-step explanation:
A glass and a half is 1+1/2 = 3/2 glasses.
2 1/2 glasses is 2/2 glasses more than that, or 5/2 glasses.
5/2 glasses is 5/3 times the size of 3/2 glasses, so there will be 5/3 the number of calories:
... (105 calories) × (5/3) = 175 calories
