Answer:
sqrt(13) =x
Step-by-step explanation:
We have 2 right triangles, one on the right and one on the left
The base is 1/2 of 4 or 2 and the height is 3
We can use the Pythagorean theorem to find the hypotenuse
a^2 + b^2 = c^2
2^2 + 3^2 = x^2
4+9 = x^2
13 = x^2
Take the square root of each side
sqrt(13) =x
Answer:
Step-by-step explanation:
The figure is a combination of a triangle and a rectangle
Area of rectangle = bh = 15(5) = 75
We have no way of finding the height of the triangle, unless there is some information that I don't see with regard to the figure.
The number of red beads are increasing by 2 for each new pattern
The next number of reds will be 12. ( in patern 5)
number of blue beads in pattern 5 will be 15 ( increasing by 3 )
nth term for red = 4 + 2 (n-1) ( its an arithmetic sequence)
nth term for blue = 3 + 3(n - 1) - as above ,arithmetic.
Total beads in pattern 45 is
No. red beads in pattern 26 = 4 + 2(26-1) = 4 + 50 = 54
No blue beads in pattern 60 = 3 + 3(59) = 180
Total number of beads in pattern 45 is:-
4 + 2(44) + 3 + 3(44) = 227
Answer:
Hope this helps.
Step-by-step explanation:
So for ASA, the two triangles have to have two angles congruent, and in the middle of those angles, they have to have a line that's congruent.
For SAS, the two triangles have to have two lines congruent, and in the middle of those lines, they have to have an angle that's congruent.
For AAS, the two triangles have to have two angles congruent, but the line that's congruent has to be on the side, not in the middle.
Answer: D. (-4, -2)
<u>Step-by-step explanation:</u>
Rotating 180° about the origin means the signs for the x- and y-values are opposite.
(x, y) → (-x, -y)
(4, 2) → (-4, -2)