The measurement of angle x is 52° and y is 38°
Step-by-step explanation:
Let us define supplementary and complementary angles first.
Supplementary angles is pair of angles whose sum is 180°
While complementary angles sum up to 90°
Given
That x and y are complementary and x is supplementary to 128.
This means that sum of x and 128 is 180°
So,

x = 52°
It is also given that x and y are complementary which means that

Hence,
The measurement of angle x is 52° and y is 38°
Keywords: Supplementary angles, complementary angles
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Answer:
2x*2xy^7
Step-by-step explanation:
(2x*2xy^4)^3
2x(1 * y^4) ^3
2x( 1*y^7)
2x*2xy^7
That is as far as it can be simplified to since the variables are no longer the same. x is not the same as xy.
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Answer:
The company can confirm that the pieces are similar by verifying that the relationship between the sides of the parts in the drawing created with MS Visio, of the diagram in a similar question found online, are;

Step-by-step explanation:
The definition of similarity is the quality of two or more objects having a common definitive property
Two objects in Euclidean geometry are similar if they are similar in shape and parameters of one shape can be obtained from the other by the application of a uniform scale and/or translation, reflection and rotation
The ABC toy maker could confirm that the pieces are similar by verifying that the corresponding sides of the two shapes have a common ratio
Answer:
Height of building is 76 feets
Step-by-step explanation:
The scenario is illustrated in the attached photo. The stretched rope is seen coming from the top of the building, passing through the top of the tree which is halfway the height of the building and touching the state which is on the ground.
The distance, x of the tree to the building on the ground is equal to the distance, x of the tree from the stake, hence,
Distance of the stake from the building is 2x
Height of the tree = 38 feets
Height of the building = y feets
The triangles formed are similar triangles. Therefore,
38/x = y/2x
Cross multiplying
2x × 38 = x × y
xy = 76x
y = 76x/x = 76 feets
Answer:
answer is 45
Step-by-step explanation:
we see 45 occurs twice in this set of number. (mode is most occuring number). 25 occurs once. 27.8 is not even in the set of number.