Answer:
angles are 48°, 48°, 84°
Step-by-step explanation:
ratio of angles = 4 : 4 : 7 = 4x : 4x : 7x ( x is a multiplier )
the sum of the 3 angles = 180 , then
4x + 4x + 7x = 180 , that is
15x = 180 ( divide both sides by 15 )
x = 12
the student made the error of assuming x = 12 was the size of the 2 equal angles.
the correct angles are
4x = 4 × 12 = 48°
4x = 4 × 12 = 48°
7x = 7 × 12 = 84°
Answer:
x = 10
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠CBD is an external angle of the triangle, thus
4x + 30 = 2x + 10 + x + 30, that is
4x + 30 = 3x + 40 ( subtract 3x from both sides )
x + 30 = 40 ( subtract 30 from both sides )
x = 10
Answer:
D. 4 real roots and 0 complex roots
Step-by-step explanation:
If I assume that the function you are saying is
There should be up to "4 roots," there can't be more or less than 4 total solutions. First, we need to check how many sign changes are there in this function. There are 3 positive real roots. Now lets check for negative roots.
There are is only 1 negative real root. Since we basically have 4 real roots, and the max is 4. There should be 4 real roots and 0 complex roots.
Answer: Put a cardboard piece inside the envelope then mail it
Step-by-step explanation: If you make the cardboard piece the exact size as the pictures then put it behind all of the pictures it would make it hard for the pictures to bend if it has support.
Relative frequency of plastic buttons with four holes is 28/80 = 0.35
Relative frequency of plastic buttons with two holes is 15/80 = 0.1875
Relative frequency of wooden buttons with two holes is 34/80 = 0.425
Relative frequency of wooden buttons with four holes is 3/80 = 0.0375
0.35 + 0.1875 + 0.425 + 0.0375 = 1
