Step-by-step explanation:
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Answer:
<u>Congruent pairs of triangles:</u>
ΔABD ≅ ΔDCB
- AB≅CD - given
- ∠ABD ≅ ∠CDB - given
- BD≅DB - common side
- SAS - two sides and the included angle
ΔABD ≅ ΔEFD - SAS
- AB≅EF - given
- ∠ABD ≅ ∠EFD - given
- ∠ADB ≅ ∠EDF - vertical angles
- AAS - two angles and non-included side
<u>By using the above two we can state that:</u>
ΔBDC ≅ ΔDFE - by ASA or SSS
because
- BD ≅ DF (corresponding parts)
- AD ≅ BC (corresponding parts)
- AD ≅ ED (corresponding parts)
- and therefore BC ≅ ED
<u>We can't prove that:</u>
- ΔAGD is congruent with any of the others as not enough information
There is one side and one angle and we can' t get two angles or two sides with included angle. Maximum we can get is SSA which doesn't guarantee the congruence.
You can locate<span> any </span>point on the coordinate plane<span> using an ordered pair of numbers.
e.i. (4,2) will be 4 units to the right and 2 units up on the coordinate plane.</span>
Answer:
d = √91 ft = about 9.53 ft
Step-by-step explanation:
use pythagorean theorem which is a²+b²=c²
(the hypotnuse which is opposite side of the right angle is always going to be C in the pythagorean theorem)
a = 3 b = ? c = 10
(3)² + b² = (10)²
9 + b² = 100
subtract 9 from both sides
b² = 91
take the square root of both sides
b = ±√91
so the side d = √91 ft = about 9.53 ft
<h2><em>8.75% = 0.0875
</em></h2><h2><em>
P(t) = Initial Population * (1 + rate)t
</em></h2><h2><em>
P(t) = 280,000(1 + 0.0875)t
</em></h2><h2><em>
P(t) = 280,000(1.0875)t
</em></h2><h2><em>
P(9) = 280,000(1.0875)9
</em></h2><h2><em>
P(9) = 595,692</em></h2>
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