On the given diagram you see two right triangles with equal hypotenuses and pair of equal angles.
Based only on the information given in the diagram you can conclude that triangles are congruent by HA theorem (<span>the HA theorem states that "if the hypotenuse and an acute angle
of one right triangle are congruent to the hypotenuse and an acute
angle of another right triangle, then the two triangles are congruent").</span>
<span />
Also you can conclude that triangles are congruent by AAS Postulate (<span><span>the AAS Postulate states that "if two angles and a non-included side of one triangle are congruent to the corresponding
parts of another triangle, then the triangles are congruent"</span>).
</span>
Answer:
Step-by-step explanation:
let x = how many joe sold
let 4x = how many abe sold
900 = x + 4x
900 = 5x
180 = x
joe sold 180
and abe sold 4x
4(180) = 720
hat means Abe sold 720 trucks
finally, let's check our answer to make sure the total is 900
180 + 720 = 900
our answer is right
Answer:
see explanation
Step-by-step explanation:
To find the terms of the sequence substitute n = 1, 2, 3, 4, 10 into the rule.
n = 1 → 2(1)² = 2(1) = 2
n = 2 → 2(2)² = 2(4) = 8
n = 3 → 2(3)² = 2(9) = 18
n = 4 → 2(4)² = 2(16) = 32
n = 10 → 2(10)² = 2(100) = 200
The first 4 terms are 1, 8, 18, 32 and the 10 th term is 200
6. 1/2 divide 7 by both #
7. 1/4 divide 2 by both#
8. 2/3 divide 8 by 4, then divide 24 by 4 to get 4/6 to reduce it divide 2 by both #
9. 5/7 divide 3 by both #
10. 3/4 divide 18 and 24 by 3= 6/8 then divide these two # by 2