I draw the two triangles, see the picture attached.
As you can see, angle 1 and 2 are vertically opposite angles because they are formed by the same two crossing lines and they face each other.
Angles <span>ABQ and QPR, as well as angles BAQ and QRP, are alternate interior angles because they are formed by </span><span>two parallel lines crossed by a transversal, and they are inside the two lines on opposite sides of the transversal.</span>
Hence, Allison's correct claims are:
1 = 2 because they are vertically opposite angles. BAQ = QRP because they are alternate interior angles. Therefore Allison, in order to prove her claim, can use the AA similarity theorem: if two angles of a triangle are congruent to two angles of the other triangle, then the two triangles are similar.
What is the mean of this data set? 12,17,16,10,20,13,14,14,12,12,19,18
Gemiola [76]
Answer:
14.75 :) please give me brainliest :)
Step-by-step explanation:
Tthe answer is 3. 3=S 4 x 3 + 1 = 13
Answer:
Cost of pop = $2
Cost of snacks = $3
Step-by-step explanation:
Let
Cost of pop = x
Cost of snacks = y
Hauler
x + 4y = 14
Good
2x + 2y = 10
x + 4y = 14 (1)
2x + 2y = 10 (2)
Using elimination method
Multiply (1) by (2)
2x + 8y = 28 (3)
2x + 2y = 10 (2)
Subtract (2) from (3) to eliminate x
8y - 2y = 28 - 10
6y = 18
y = 18/6
y = $3
Substitute y = 3 into (1)
x + 4y = 14 (1)
x + 4(3) = 14
x + 12 = 14
x = 14 - 12
x = $2
Cost of pop = $2
Cost of snacks = $3