Answer:
Line RT || Line VS ∠SRV ≅ ∠TUR - Given/Alternate Interior Angles Theorem
∠TRU ≅ ∠SVR - Corresponding Angles Theorem
ΔRTU ~ ΔVSR - AA Similarity Theorem
Step-by-step explanation:
The statement Line RT || Line VS ∠SRV ≅ ∠TUR is given. This can be explained with the Alternate Interior Angles Theorem. It states that if two parallel lines (TR and VS) are cut by a transversal (∠SRV), then the pairs of alternate interior angles are congruent.
∠TRU and ∠SVR correspond to each other, so that would be the Corresponding Angles Theorem.
That leaves ΔRTU ~ ΔVSR being that away due to the AA Similarity Theorem. It states that states that if two angles of one triangle (∠RTU, ∠URT for example) are congruent to two angles of another triangle (∠VSR, ∠RVS are the congruent angles to the two from before), then the triangles are similar.
Answer:
hope this helps
Step-by-step explanation:
To reduce a fraction to lowest terms (also called its simplest form), just divide both the numerator and denominator by the Greatest Common Factor (GCF or GCD). For example, 2/3 is in lowest form, but 4/6 is not in lowest form (the GCD of 4 and 6 is 2) and 4/6 can be expressed as 2/3.
There are two ways you could go about solving this.
You could divide the length of the base (6mm) by 2 and use that to find the area or you could find the area of the whole triangle using 6mm and divide that by 2.
I will use the first method I described:
base = 6/2
base = 3 mm
height = 5.2 mm
area = bh/2
area = (3 * 5.2)/2
area = 7.8 square mm
(don't forget your units)
Using the other method would look like this:
area = bh/2
b = 6
h = 5.2
area = (6 * 5.2)/2
area = 15.6 square mm
area/2 = 7.8 square mm
As you can see either method yields the same result.
Hope this helped.
Cheers and good luck,
Brian
5 x - 30
Factor out 5
5 ( x - 6)
alternative B
hope this helps !. :)
Answer:
12 and 13 I think
Step-by-step explanation:
