Answer:
One number is 17 and the other is 85.
Step-by-step explanation:
Let the numbers be m and n. Let m = (1/5)n. Note that m+n = 18.
Substituting (1/5)n for m in the 2nd equation, we get (1/5)n + (5/5)n = 18. Multiplying all three terms by 5 to remove fractions, we get n + 5 = 90, so that n = 85. m is (1/5) of 85, or m = 17.
The solution for x is D=-4
Answer:
After a translation, the measures of the sides and angles on any triangle would be the same since translation only involves changing the coordinates of the vertices of the triangle.
After a rotation, the measures of the sides and angles of a triangle would also be the same. Similar to translation, the proportion of the triangle is unchanged after a rotation.
After a reflection, the triangle's sides and angles would still be the same since reflection is a rigid transformation and the proportion of the sides and angles are not changed.
Step-by-step explanation:
Rigid transformations, i.e. translations, rotations, and reflections, preserve the side lengths and angles of any figure. Therefore, after undergoing a series of rigid transformations, the side lengths and angle measures of any triangle will be the same as the original triangle, generally speaking, in another position.
Answer:
5a
Step-by-step explanation:
Solution
verified
Verified by Toppr
We have x
3
−ax
2
+6x−a
Apply remainder theorem
x−a=0
x=a
Put x=a in equation.
(a)
3
−a(a)
2
+6a−a
=a
3
−a
3
+6a−a
=6a−a
=5a
Then reminder is 5a
Answer:
B) y = 129º
Step-by-step explanation:
since a triangle is 180º in total, the you have to subtract 71 and 58 from 180 which will give you 51º which gives you the amount for x
and the line that the triangle is on is also 180º in total, so you subtract the 51 from 180 to give you a total of 129º which is the amount for y
