Answer:
The shortest possible length for the bypass road is 1,275 miles
Step-by-step explanation:
see the attached figure with letters to better understand the problem
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem triangles ABC and CDB are similar by AA Similarity Theorem
so
substitute the given values
solve for DB
therefore
The shortest possible length for the bypass road is the distance DB (perpendicular distance from right angle to the hypotenuse triangle ABC)
Answer:
Step-by-step explanation:
You cannot add these because they are not like. IF you have a value for x, then the expression could be evaluated at the x value, but you can't add them.
The measure of the angles A, B and C are 43°, 43° and 94° respectively.
Step-by-step explanation:
- Step 1: From the given details, form equations. Let ∠A and ∠B be x°.
⇒ ∠C = 51° + x°
- Step 2: Sum of angles of a triangle is 180°
⇒ ∠A + ∠B + ∠C = 180°
⇒ x + x + 51 + x = 180
⇒ 3x + 51 = 180
⇒ 3x = 129
⇒ x = 43°
⇒ x + 51 = 94°