Answer:
A: The triangles are similar because y=34 and there are three pairs of congruent angles.
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Dont need an explanation really, but if there are 5 rows, with 3 each in them, all you need to do is 3x5.
15.
Answer:
181.4
Step-by-step explanation:
Answer:
Step-by-step explanation:
Step 1 - As both triangles have lengths the same size, they both add together to equal a rectangle. Therefore:
4 x 3 = 12
Which is the area of the triangles.
Step 2 - Calculating the area of a circle uses the formula:
Where r is the radius of the circle.
Plug the known variables in:
However, this is the area of a full circle. The figure is only half a circle so we must divide this by two:
28.26 ÷ 2 = 14.13
Now, add the area of the semi-circle to the area of the triangles:
14.13 + 12 = 26.13
Therefore, the area of the figure is .
Hope this helps!
Answer:
6) x=9.75
10) Triangle OMN ~ Triangle ODK; SSS ~
11) SSS ~ theorem
12) SSS ~ theorem
Step-by-step explanation:
For #6, since the polygons are similar, then it must mean AD is congruent to JM and CD is congruent to LM. Now we can set up the proportion 39/20=x/5 and solve. Solving for x gets us x=9.75, so C is the correct choice
For #10, there's no information about angles whatsoever in the diagram, so B and C must be wrong. D must be wrong as well because if the triangles weren't similar, then why is OJ ~ JM and OK ~ KN? So thus, the triangles are similar by SSS.
For #11, this is sort of a no-brainer because there's no mention of angles, so D must be correct.
For #12, same concept, no mention of angles, all sides are similar to their respective sides of the different triangles, so A is correct.
