What is the value of x in the equation. 1/2x - 3/4 = 3/8 - 5/8x?
2 answers:
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Answer:
The simplified form of given expression is 3/5.
Step-by-step explanation:
The given expression is
We need to find the product of two factions using diagram.
For 3/4, draw a box and divide it in 4 equal parts by using vertical lines. The color three parts of it.
For 4/5, draw a box and divide it in 5 equal parts by using horizontal lines. Then color the four parts of it.
Now combined both boxes and shown below.
From the below figure it is clear that
The number of common shaded small boxes = 12
Total number of small boxes = 20
The required fraction is
Cancel out common factor.
Therefore, the simplified form of given expression is 3/5.
Answer:
△PQR and △RST are not similar.
Step-by-step explanation:
In triangle △PQR, two known interior angles are 34° and 80°. So the measure of third angle is
In triangle △RST, two known interior angles are 24° and 90°.
Two triangles are similar if their corresponding angles are same and the corresponding sides are proportional.
Since the angles of △PQR and △RST are not same, therefore we can say that the △PQR and △RST are not similar.
We are given the coordinate of the 3 vertices. From these coordinates we can find the length of the sides using the distance formula and the sum of all the sides will be equal to the perimeter of the triangle.
Side PQ =
Side QR =
Side RP =
So, the perimeter of the triangle will be 8 + 4.5 + 7.2 = 19.7
You probably misplaced the digits in option A. The correct answer is 19.7 units.
Side PQ =
Side QR =
Side RP =
So, the perimeter of the triangle will be 8 + 4.5 + 7.2 = 19.7
You probably misplaced the digits in option A. The correct answer is 19.7 units.