Answer:
statement D is correct.
<em>Statement: ∠7 ≅ ∠6 and ∠8 ≅ ∠5</em>
<em>Reason: Vertical Angles Theorem</em>
Step-by-step explanation:
Given that
3 ≅ ∠7 and ∠4 ≅ ∠8
from statement 2 because they are corresponding angles.
∠8 ≅ ∠5
because its vertical angles
The vertical angles theorem is about angles that are opposite each other.
So,
∠4 ≅ ∠8 and ∠8 ≅ ∠5
which means
<h3> ∠4 ≅ ∠5 </h3>
Hence,
∠3 = ∠7
∠4 = ∠5
they are known as interior alternative angles.
Answer:
-3
Step-by-step explanation:
The length of a segment is
sqrt( ( y2-y1)^2 + (x2-x1) ^2) = 2 sqrt(10)
sqrt( ( a-4 - -1)^2 + (2a -4) ^2) = 2 sqrt(10)
sqrt( ( a-4 +1)^2 + (2a -4) ^2) = 2 sqrt(10)
Combine like terms
sqrt( ( a-3)^2 + (2a -4) ^2) = 2 sqrt(10)
Square each side
( a-3)^2 + (2a -4) ^2) = 4 *(10)
FOIL the left side
a^2 -6a +9 + 4a^2 -16a +16 = 40
Combine like terms
5a^2 -22a +25 = 40
Subtract 40 from each side
5a^2 -22a -15 =0
Factor
(a - 5) (5 a + 3) = 0
Using the zero product property
a-5 =0 5a +3 = 0
a = 5 5a = -3
a=5 a = -3/5
The product of the terms is
5 * -3/5 = -3
Answer:
Then the new point is (-6,-5)
Step-by-step explanation:
They are not similar, both of the triangles do not add up to the same number.
Answer:
Step-by-step explanation:
Multiply 3 times 4x which gives you 12. Multiply 3 times 2 which gives you 6. Your final answer is 12x+6
