Answer:
SAS.
Step-by-step explanation:
They are congruent by 2 sides and the included angle
The simplest form can be 13/3: 7 or 4.3:7
9514 1404 393
Answer:
consistent, independent
Step-by-step explanation:
Systems of equations are most easily classified these ways if the equations are in the same form. If we solve the second equation for y, we have ...
y = x - 1
The x-coefficients of this and the first equation are different, so the system is <em>consistent</em> and <em>independent</em>.
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A system is independent if the equations describe different lines.
A system is inconsistent if the equations describe parallel lines.
Here, the different lines are not parallel, so the system is independent and consistent.
A triangle ABC is similar to a triangle A´B´C´ The scale factor of the dilatation : s.
0 * s =0
4 * s = 10
6 * s = 15
s= 10/4=15/6=2.5
The scale factor of the dilatation is 2.5. It is shown in the attachment.
Answer:
a 26
b 8 2/3
Step-by-step explanation:
a) 4 1/3 * 6
Change the mixed number to an improper fraction
(3*4+1)/3 *6
13/3 *6
= 78/3
= 26
b) 2 3/5 * 3 1/3
Change the mixed numbers to improper fractions
(5*2+3)/5 * (3*3+1)/3
13/5 * 10/3
130/15
Top and bottom divide by 5
26/3
Change back to a mixed number
3 goes into 26 8 times (3*8 =24) with 2 left over
8 2/3