Answer:
C
Step-by-step explanation:
Because of all the variables in the side lengths, we don't have enough information to use side-angle-side similarity.
We do have two angles of one triangle congruent to two corresponding angles of the other triangle, so we can use angle-angle similarity.
Sides AE and AD are corresponding sides. Sides AC and AB are corresponding.
Answer: C
The question is asking for the intersection of the line and the parabola. Where does the blue parabola and the red line meet? <em>at (-1, -3) and (3, 5)</em>
Answer: B) x = -1 , x = 3
"Starting with three, every consecutive line has 2 less than twice the previous line."
this statement means that
your staring line has 3 marbles. You multiply the 3 marblesby 2 so
3x2=6
And then you minus it by 2
6-2=4
which means that you'll get 4 marbles for the next line.
So to get your 6th line, you count how many marbles is on the 5th line but since your diagram doesn't have the 5th line you have to figure out the 5th line by counting how.many marbles is on the 4th line.
4th line = 10 marbles
10×2=20
20-2=18
5th line = 18
18×2=36
36-2=34
So the 6th line has 34 marbles.
Answer:
Radius of the circle is <em>15 inches.</em>
<em></em>
Step-by-step explanation:
Relation between length of arc, radius and the angle subtended by the arc on center is:

where
is the central angle in radians subtended by arc
is the length of arc
is the radius of arc
We are Given the following details:


We know that 
Converting
to radians:
radians
Putting the values of
and
to find the value of 

Hence, Radius of the circle is <em>15 inches.</em>
For the first 3 you just have to divide (forget about the square root for now) and then reduce its result by finding two numbers (one of them have to be able to be squared rotted) that multiplied gives the fist result. Then you just have to square root one of the numbers and leave the other one as it is.
For the last 4; you cannot have radicals in the denominator, so you have to multiply both top and bottom by the square root, after that you just reduce.
Hope you understand, if you have any questions please let me know.