Answer:
13 and 65
Step-by-step explanation:
x + 5x = 78
(because u want a piece (x) and a piece that's five times longer than x- so 5x. and they should come from a 78 inch piece)
6x = 78
x = 78 / 6
x= 13
(to counter check: 13 * 5 = 65.
65 + 13 = 78 )
Answer:
50 degrees
Step-by-step explanation:
We know that an inscribed angle in a circle is 1/2 the arc that it inscribes. So, therefore the arc is inscribed by the 25 degrees is 50. Assuming that the center of the circle is O, the center angle will be the arc measure. Knowing this, angle a is 50 degrees. If you're curious about all these theorems, they can be proved using similar triangles.
fyi, using the same logic, angle b is 25 degrees
Answer:
Trinomial can not be factored
Step-by-step explanation Equation at the end of step 2 : 4x 2 - 2x - 1 = 0 Step 3 : Parabola, Finding the Vertex : 3.1 Find the Vertex of y = 4x 2-2x-1 Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum)
Answer: The only correct answer is 8/18. See below
Step-by-step explanation:
All you need to do is divide the denominator of 9 into the denominator of each fraction, and multiply the numerator by the same factor like this:
4/9 = ?/36; 36/9 = 4; 4x4 =16, so we know that 4/9=16/36 NOT 20/36
4/9 = ?/18; 18/9 =2; 2x4 =8, so we know that 5/9 = 8/18 so YES.
4/9 = ?/45; 45/9=5; 5x4 = 20, so we know that 5/9 = 20/45 NOT 24/45
5/9 = ?/27; 27/9 =3; 3x5 = 15, so we know that 5/9 = 15/27 NOT 12/27