Answer:
option a (2,2,5)
Step-by-step explanation:
First we have to notice that it tells us that the scale is 1/5.
This means that the measures of the new triangle will be 5 times smaller than those of the other triangle.
Now we just have to take the measurements of the sides of the triangle and multiply them by 1/5 or divide them by 5
AB = 10 DE = 10/5 = 2
BC = 10 EF = 10/5 = 2
AC = 25 DF = 25/5 = 5
DE = 2
EF = 2
DF = 5
(2, 2, 5)
∠1 and ∠2 are supplementary // given∠3 and ∠4 are supplementary // given∠1 ≅ ∠3 // given m∠1 + m∠2 = 180° // definition of supplementary anglesm∠3 + m∠4 = 180° // definition of supplementary angles m∠1 + m∠2 = m∠3 + m∠4 // transitive property of equality m∠1 = m∠3 // definition of congruent angles m∠1 + m∠2 = m∠1 + m∠4 // substitution property of equality (replaced m∠3 with m∠1) m∠2 = m∠4 // subtraction property of equality (subtracted m∠1 from both sides) ∠2 ≅ ∠4 // definition of congruent angles
Answer:
(-8, 2)
Step-by-step explanation:
Start with (-3, 4). Subtract 5 units from -3, obtaining -8, and subtract 2 units from 4, obtaining 2: (-8, 2)
Answer:
the answer is r<1 that's the inequality
4x+5x = 90
9x = 90
x = 10
10y + 10 + 5x = 180
10y + 10 +5(10) = 180
10y + 60 = 180
10y = 120
y = 12
answer
<span>d) x = 10, y = 12</span>