Answer:
The given quadrilateral is a parallelogram.
Step-by-step explanation:
If a quadrilateral is a parallelogram , then the opposite sides would be equal.
Here we are going to equate the length of 1 pair of opposite sides to find the value of x and use this value of x to verify whether the other pair of opposite sides are equal.
AB = 6x
BC = 3x
DC = x + 15
AD = 9
Equate AB and CD,
6x = x + 15
5x = 15
x = 3
Now BC and DA should be equal.
BC = 3x = 9
Also DA = 9
As we can see, the other pair of opposite sides are also equal.
Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent.
Hence , the given quadrilateral is a parallelogram.
Answer:
12
Step-by-step explanation:
We already found x in a previous problem.
x = 6
The right triangle on the right side with sides x and y is also a 30-60-90 triangle.
The hypotenuse is twice the short leg.
x = 6
y = 2x
y = 12
Step-by-step explanation:
step 1. what is the question? maybe the question is what is the value of x in the diagram. okay.
step 2. interior angles of a triangle add up to 180°
step 3. the 3 angles inside the triangle are 10x + 8, 13 + 5x, and (180 - 126)
step 4. (10x + 8) + (13 + 5x) + 54 = 180
step 5. 15x + 21 = 126
step 6. 15x = 105
step 7. x = 7.
Answer:
2inch^2 is our area overlap
Step-by-step explanation:
2 inch base 2 inch width when crossed shows us symmetrical line on the parallel, which gives us our height of 1 inch as one inch equilateral triangle is formed each side of the symmetrical line.
Formula for Area is bh
Area = 1 x 2 = 2inch^2
Answer:
g(x + 7) = 11x + 80
g(x) + g(7) = 11x + 83
Step-by-step explanation:
g(x + 7) = 11(x + 7) + 3 = 11x + 77 + 3 = 11x + 80
g(x) + g(7) = 11x + 3 + 11(7) + 3 = 11x + 3 + 77 + 3 = 11x + 83
