Ill give brainly if right!!
1 answer:
Answer:
The weight of square is 8 grams.
Step-by-step explanation:
Given that,
The weight of the circle = 2 grams
The weight of the triangle = 4 grams
We need to find the weight of the square. Let the weight of each square is w.
On LHS, 2 circles and 4 squares are there.
On RHS, 2 squares, 4 triangles and 2 circles are there.
For a balanced position,
Weight on LHS = Weight on RHS
2(2)+4(w) = 2(w) + 4(4) +2(2)
4 + 4w = 2w +16 +4
4w-2w = 20-4
2w = 16
w = 8
So, weight of square is 8 grams.
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Given:
Endpoints of segment AB are A(- 18, 5) and B(- 4, 5).
Point Z is located exactly 1/8 of the distance from A to B.
To find:
The value of the x-coordinate of point Z.
Solution:
Point Z is located exactly 1/8 of the distance from A to B.
AZ:AB=1:8
AZ:ZB = AZ:(AB-AZ)= 1:(8-1) = 1:7
It means point Z divided segment AB in 1:7.
Using section formula, the x coordinate of point Z is
Therefore, the required x-coordinate of point Z is -16.25.
Answer:
From the graph attached, we know that by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like
and
.
We also know that, by definition of linear pair postulate, and
are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.
They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that and
together are 180°, because they are on a straight angle. That is,
If we substitute for
, we have
, which means that
and
are also supplementary by definition.
