Answer:
7x +2y =24 --------- (i)
8x +2y= 30 ---------(ii)
Subtracting eqn. (i) & (ii)
7x +2y =24
8x +2y= 30
- - -
___________
-x = - 6
Putting the value of x in eqn. (i)
7*6 +2y =24
42 +2y =24
2y =-18
y = - 9
Hence, x=6 and y= - 9
Hope it helps!!
Answer:
(–∞, -4)
Step-by-step explanation:
Answer:
True, based on the <em>Transitive Property of Equality</em>.
Step-by-step explanation:
Note that the <em>Transitive Property of Equality </em>states that "If a = b, & b = c, then a = c.
In this case it is the same.
∠1 ≅ ∠2 (because both are complementary), ∠1 ≅ ∠3 (again, both are complementary), then based on the Transitive Property, ∠2 ≅ ∠3, making all of them complementary angles
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<em>~Senpai</em>
<span>All three sides of triangle X'Y'Z' must be parallel to the corresponding sides in triangle XYZ and the corresponding angles are congruent .
The dilated triangle will be similar to the original triangle, which means all angles will be the same.
</span><span>The sides of the two triangles will also be parallel. You can test this by observing the slopes:
Line XY has a slope of 2/3, moving from -4,2 and passing through -1,4.
Line X'Y' has the same slope, moving from (-6,3) to (-3,5)
You can see that this is the case for all corresponding sides' slopes. </span>
