Answer:
length of CD = 18 units.
Step-by-step explanation:
In ΔABC and ΔCED,
AB║DE and AD is a transversal line,
m∠ABC = m∠CED [Alternate interior angles]
m∠ACB = m∠DCE [Vertically opposite angles]
ΔABC ~ ΔCED [By AA property of similarity]
Therefore, by the property of similar triangles, corresponding sides will be proportional.


CD = 6
Since, AD = AC + CD
AD = 12 + 6
= 18 units
Therefore, length of CD = 18 units.
Let
be the measure of the angle in question. Its complement has measure
. We're told that this angle is congruent to 1/3 of its complement, so that

Answer: 0.5
Step-by-step explanation:
To reduce a fraction: divide the numerator and denominator by their greatest common factor, GCF.
Fraction: 7/10 already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
7 is a prime number;
10 = 2 × 5;
gcf (7; 2 × 5) = 1;
Answer:
Step-by-step explanation:
I would help, but I get some of it, but not all of it.