In quadrilateral abcd m acd =2 x+4 and m acb=5x-11. for what value of x is abcd a rhombus?
a.4
b.5
c.6
d.7

The value of x is 5

Explanation

Given <ACD=2x+4

<ACB=5x-11

Given that ABCD is a rhombus. So the opposite angles will be same and all the sides will be equal.

diagonal AC divides the rhombus into two triangles ACD and ACB

according to angle sum property, the sum of all angles of a triangle is 180.

consider triangle ACD

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step-by-step explanation:

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of