Answer:
I believe it is 60 degrees
Step-by-step explanation:
90 degrees plus 30 is 120 then plus x will be 180 so 180 - 120 is 60
Answer:
The information we need is that the angle between the sides (that is, angle TVU for triangle TVU and angle WVX for triangle WVX) need to be equal.
These angles are vertically opposite angles, because they are formed by two lines crossing, so these angles are equal.
Step-by-step explanation:
The SAS Congruence Theorem says that if two triangles have 2 equal sides and the angle between these sides are also equal, the triangles are congruent.
In this question, we know that the sides UV and VW are congruent, as V is the midpoint of UW. We also know that TV = VX, so now we have two equal sides for each triangle.
The information we need is that the angle between the sides (that is, angle TVU for triangle TVU and angle WVX for triangle WVX) need to be equal.
These angles are vertically opposite angles, because they are formed by two lines crossing, so these angles are equal.
Now we can conclude that the triangles are congruent.
Answer:
24
Step-by-step explanation:
Let the number of mangoes owned by Tulsa be T and that by Julie be J
If Tulsa has 4 times as many mangoes as Julie then
T = 4J
Tulsa bought 6 more mangoes. She now has 5 time as many mangoes as Julie
T + 6 = 5J
Solve both equations simultaneously by substitution
4J + 6 = 5J
Collect like terms
6 = 5J- 4J
J = 6
Since
T = 4J
T = 4 * 6
= 24
Hence Tulsa had 24 mangoes at first
36/54 = 2/3
24/36 = 2/3
16/24 = 2/3
<span>common ratio for the geometric sequence is : 2/3</span>
