Answer:
1/24 mile
Step-by-step explanation:
To find 1/3 of 1/8, you would multiply the two fractions
Good luck!
Answer:
38x² - 17x - 3
Step-by-step explanation:
The area of the shaded region is calculated as
area of outer rectangle - area of white rectangle, that is
(8x + 1)(5x - 3) - 2x(x - 1) ← expand (8x - 1)(5x - 3) using FOIL
= 40x² - 24x + 5x - 3 - 2x² + 2x ← collect like terms
= 40x² - 17x - 3
Answer:
A. Triangles are similar by AA similarity.
Step-by-step explanation:
By the Angle Angle Similarity Theorem, if two pairs of corresponding angles are congruent, then the triangles are similar. As a given, Angle E is 35 degrees and Angle B is 45 degrees, which means that Angle R is 100 degrees; By definition, a triangle is 180 degrees in total. Therefore, Angle R is congruent to Angle A. Angles REB and AEZ are also congruent by the vertical angle theorem.
In conclusion, triangles AEZ and REB are similar by the AA similarity theorem.
