9514 1404 393
Answer:
Step-by-step explanation:
Segment BD is a leg of the right triangles. It is congruent to itself (whether or not it is marked). Angles A and C are <em>corresponding</em> acute angles in the right triangles. They are marked as congruent to each other.
The triangles are congruent by the LA theorem, applicable to right triangles. The congruency statement can be written as ...
ΔBDA ≅ ΔBDC
14 + 63 = 2*7 + 9*7 = 7*(2+9)
Answer:
B. 12.16 inches
Step-by-step explanation:
Triangle MNP has two sides given as length 5 (MN) and 10 (PN). The third side (MP) must be longer than 10* and less than 10+5=15. There is only one answer choice in that range: 12.16.
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If we call the point of intersection of the diagonals X, then we know that NX = 8/2 = 4, and we can use the Pythagorean theorem to find MX and PX.
MX² +NX² = MN²
MX² + 4² = 5²
MX = √(25 -16) = 3
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PX² +NX² = PN²
PX² + 4² = 10²
PX = √(100 -16) = 2√21 ≈ 9.1652
Then ...
MP = MX +PX = 3 +9.1652 = 12.1652 ≈ 12.17 . . . . . matches selection B
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* The argument for the upper limit of MP comes from the triangle inequality. The argument for the lower limit comes from the observation that angle NMP is smaller than angle MNP, so side PN must be shorter than side MP. That is, MP must be greater than 10 inches.
Answer:
Option H
Step-by-step explanation:
y = 3x - 4
this is the correct answer.
Answer:
14 yds
Step-by-step explanation:
To find the perimeter, we add up all the sides
P = s1 + s2+ s3 + s4
38 = 5.8+7+11.2 + s4
Combine like terms
38 = 24+s4
Subtract 24 from each side
38-24 = 24-24 +s4
14 = s4
The 4th side is 14 yds