A statement that follows with little or no proof required from an already proven statement. For example, it is a theorem<span> in geometry that the angles opposite two congruent sides of a triangle are also congruent. A </span>corollary<span> to that statement is that an equilateral triangle is also equiangular</span>
Answer: 1,045.50
Step-by-step explanation: hope this helps champ.
Answer:
DB = CA (Proved)
Step-by-step explanation:
Statement 1.
∠D = ∠C, M is the midpoint of DC and ∠1 = ∠2
Reason 1.
Given
Statement 2.
Between Δ DBM and Δ CAM,
(i) DM = CM,
(ii) ∠D = ∠C and
(iii) ∠DMB = ∠CMA
Reason 2.
(i) given
(ii) given and
(iii) ∠ DMB = ∠1 + ∠AMB and ∠CMA = ∠2 + ∠AMB
Since ∠1 = ∠2, so, ∠DMB = ∠CMA.
Statement 3.
Δ DBM ≅ Δ CAM
Reason 3.
By angle-side-angle rule.
Statement 4.
DB = CA
Reason 4.
Corresponding sides of two congruent triangles. (Answer)
Answer: 13/15
Step-by-step explanation:
Answer:
Step-by-step explanation:
Firstly, move over the negative 3/4 fraction (don't forget to swap the operation i.e subtract to add):
Now, to add the two fractions, simply multiply the numerator and denominator by 3:
Now add this to the other fraction:
This can be simplified down by dividing both the numerator and denominator by 4:
Which now simplifies the original equation to:
Remove the y out of the fraction:
Now multiply both sides by 8:
Hope this helps!
