9514 1404 393
Answer:
A, D
Step-by-step explanation:
The figure <em>looks</em> symmetrical, but their is no given information indicating it actually <em>is</em> symmetrical. Thus we can't make any statements about the segment lengths. Nor is there any indication that any of the arc lengths are identical.
If we rule out statements about segments and arcs, that only leaves statements about angles. As it happens both of those are true: inscribed angles that intercept the same arc are congruent.
The true statements are ...
A: ∠CAD≅∠CBD
D: ∠ACB≅∠ADB
Answer:
Answer is all real numbers.
<~~~~~~~~~~~~~~~~~~~~~~~~~~~~~>
---------(-3)---------------------(6)-------------
Step-by-step explanation:
6b<36
Divide both sides by 6:
b<6
or
2b+12>6
Subtract 12 on both sides:
2b>-6
Divide both sides by 2:
b>-3
So we want to graph b<6 or b>-3:
o~~~~~~~~~~~~~~~~~~~~~~~~~~ b>-3
~~~~~~~~~~~~~~~~~~~~~~~~o b<6
_______(-3)____________(6)___________
So again "or" is a key word! Or means wherever you see shading for either inequality then that is a solution to the compound inequality. You see shading everywhere so the answer is all real numbers.
<~~~~~~~~~~~~~~~~~~~~~~~~~~~~~>
---------(-3)---------------------(6)-------------
Answer:
In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations. For example, 3x² − 2xy + c is an algebraic expression.
Answer:
- BC = 6
- x = 5
- CE = 16
- Yes, BC║DE
Step-by-step explanation:
1. The parallel lines make the various triangles similar, so the corresponding sides are in proportion.
... BC/AB = FE/A.F
... BC/9 = 4/6
... BC = 9·4/6 = 6
2. As in problem 1, the triangles are similar, so ...
... x/(x+10) = 10/30
... 30x = 10x + 100 . . . . multiply by 30(x+10)
... 20x = 100 . . . . . . . . . subtract 10x
... x = 100/20 = 5
3. As in problems 1 and 2, the triangles are similar, so ...
... AD/DB = CE/EB
... 24/27 = CE/18
... 18·24/27 = CE = 16
4. If the lines of interest are parallel, the triangles will be similar and corresponding measures will be in proportion.
Compare AD/DB = 15/12 = 5/4 to AE/EC = 10/8 = 5/4. These are equal, so corresponding measures are proportional. Therefore we conclude the triangles are similar and BC║DE.
