Hello!
To find the area of the trapezoid, you use the formula A=1/2h(a+b), where a and b represent the two base lengths.
Since we already know the two bases and the height, we can just plug them into the equation to find the area.
A=1/2·15.4(26.7+9.9)
A=1/2·15.4(36.6)
A=1/2·563.64
A=281.82
The area is 281.82 ft².
I hope this helps!
Answer: Rachel's prediction is faster than the actual unit rate, and Theadore's prediction is slower.
Answer:
Using reflexive property (for side), and the transversals of the parallel lines, we can prove the two triangles are congruent.
Step-by-step explanation:
- Since AB and DC are parallel and AC is intersecting in the middle, you can make out two pairs of alternate interior angles<em>.</em> These angle pairs are congruent because of the alternate interior angles theorem. The two pairs of congruent angles are: ∠DAC ≅ ∠BCA, and ∠BAC ≅ ∠DCA.
- With the reflexive property, we know side AC ≅ AC.
- Using Angle-Side-Angle theorem, we can prove ΔABC ≅ ΔCDA.