Answer:
The triangles are congruent by congruency theorem SAS.
Step-by-step explanation:
Side-Angle-Side, as it suggests, is when a triangle is congruent by the order of congruent side, congruent angle, and another congruent side. If named certain ways, they can be congruent. Since the question does not provide a specific way of naming the triangles, we can assume that any way is allowed. 2.5 and 2.5 are congruent, followed by angles D and G which have the congruent angle markers. The congruent angles are followed by 1.7 and 1.7, making the triangles congruent by Side-Angle-Side.
Answer:
120 different meals.
Step-by-step explanation:
Start with the entrees: There are 4
There are side dishes : 4
Drinks: 5
The side dishes can be 4!/(2!2!) (order does not matter here). There are 6 ways.
The entrees are 1 of 4: 4
And 5 drinks
P(dinner) = 5 * 4 * 6 = 120
Area of a triangle = 1/2 x base x height
Area = 1/2 x 8.7 x 8.6
Area = 37.41 square feet
You haven't told us whether 9 and 12 are the two legs of the triangle, or whether the 12yd is the longest side.
<u>If the 9 and the 12 are the two legs, then</u>:
C² = A² + B²
C² = 81 + 144
C² = 225
C = <u>15 yd</u>
<u>If the 12 is the longest side, then</u>:
(12)² = (9)² + B²
B² = (12)² - (9)² = 144 - 81 = 63
B = √63 = <u>7.937</u>yd (rounded)
Answer:
the reflected point is (3,6)
Step-by-step explanation:
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