Answer:
Therefore the value of x is 5.
Step-by-step explanation:
Given:
△ABC ≅ △DEF,
EF = x 2 - 7, and
BC = 4x - 2.
To Find:
the values of x. = ?
Solution:
△ABC ≅ △DEF ........Given
If two Triangles are congruent then the Corresponding Parts of Congruent Triangles are Congruent.
∴ BC ≅ EF ...................CPCTC
Substituting the values we get
Now By Factorizing we get
Therefore the value of x is 5.
Answer:
105 cm²
Step-by-step explanation:
The figure is composed of a rectangle and a triangle
area of rectangle = 15 × 6 = 90 cm²
area of triangle = bh ( b is the base and h the height )
Here b = 15 - 9 = 6 and h = 11 - 6 = 5 , thus
area of triangle = × 6 × 5 = 3 × 5 = 15 cm²
Total area = 90 + 15 = 105 cm²
Answer:
Yes
Step-by-step explanation:
Given the system of equations
We want to determine if (2,5) is a solution of the system.
We can do this by substitution of the given point into the equations and see if it holds.
Given (x,y)=(2,5), x=2, y=5
<u>In the first equation</u>
y=2x+1
5=2(2)+1
5=5
Therefore, <u>the point (2,5) satisfies the first equation.</u>
<u>In the second equation</u>
Since our result (-3) is equal to the Right Hand Side, <u>the point also satisfies the second equation.</u>
<u />
Therefore, (2,5) is a solution of the system.