# math

posted by .

ABCD is a rectangle, if AC is 2(x-3) and BD is X+5 what are the lengths of the diagnoals?

a. 2,2
b. 11,11
c. -3,-3
d. 16,16

• math -

In any rectangle the diagonals are equal, so .....

2(x-3) = x+5
2x - 6 = x+5
x = 11
subbing into either one gets us 16
so the choice is d)

• geometry -

abcd is a rectangle . find the lenght of each diagonal .
ac=2(x-3)
bd= x+5

• math -

16,16

• math -

16

## Similar Questions

1. ### Math Symbols

Let "p" represent 'the area of rectangle ABCD is 50 square inches'. Let "q" represent 'the perimeter of rectangle ABCD is 30 inches'. Let "r" represent "the length of rectangle ABCD is twice the width" My question: use symbols to represent …
2. ### algebra

I don't know how to do this it sais In the accompanying diagram, ABCD is a rectangle inscribed in circle o. the ratio of side AB to side BC is 4:3. The area of the rectangle is 48 square centimeters. A B o D C This is how it looks …
3. ### geometry

Given: ABCD is a rectangle, diagnoals AC and BD intersect at E Prove: Triangle AEB is isosceles
4. ### geometry

Rectangle ABCD has diagonals AC and BD. If the diagonal lengths are AC = 36 cm and BD = (3x + 3) cm, find the value of x
5. ### math

In rectangle ABCD, shown here, ACB measures 30° and. CD = 40 mm. What is the area of rectangle ABCD?
6. ### Math

Rectangle ABCD is similar to rectangle EFGH. If rectangle ABCD has sides that are 7 times greater than those of rectangle EFGH, what is the relationship between the perimeters of the rectangles?
7. ### Math

geometry- On the coordinate plane, draw a rectangle ABCD with vertices at A (1,4), B(5,4), C(5,1) and D (1,1). Then graph and describe the new rectangle formed when you subtact 3 from each coordinate of the vertices in rectangle ABCD.
8. ### Math

In the accompanying diagram, abcd is a rectangle with ab as a diameter of semicircle o. Diagonal bd is drawn in rectangle abcd. The length of bd exceeds the length of ab by 1, and ad=5. Please help thank you
9. ### Math (Geometry)

ABCD is a rectangle with AC=20 and AB=2BC. What is the area of rectangle ABCD?
10. ### Algebra

1.The coordinates of rectangle ABCD are A(2, 2), B(2, 5), C(6, 5), and D(6, 2). Using rectangle ABCD, find the coordinates of the rectangle that results when the center of dilation is the origin and ABCD is dilated by a scale factor …

More Similar Questions