All categories

4 years ago

Find the length of the diagonals of the isosceles trapezoid if AC = x + 1 and DB = 2x - 3

Mathematics

2 answers:

NNADVOKAT [17]4 years ago

7 0

Isosceles trapezoid , diagonals are equal

AC = DB

x + 1 = 2x - 3

x = 4

So AC = DB = 4 + 1 = 5

Answer:

The length of the diagonals = 5

Leno4ka [110]4 years ago

7 0

Answer:

<h2>Each diagonal has a length of 5 units.</h2>

Step-by-step explanation:

We know by given that side AD is equal to side BC.

Also, we know

$AC=x+1$ and $DB=2x-3$

Now, by definition, isosceles trapezoids have equal diagonals. So,

$AC=DB\\x+1=2x-3\\1+3=2x-x\\x=4$

Then, we replace the value of the variable in each expression to find the length of each diagonal

$AC=x+1=4+1=5\\DB=2x-3=2(4)-3=8-3=5$

Therefore, each diagonal has a length of 5 units.

You might be interested in

At what point do these lines intersect? A -24x - 4y =-164 y=41 - 6x

SSSSS [86.1K]

Answer:

Infinite points

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Functions
Terms/Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-24x - 4y = -164

y = 41 - 6x

Step 2: Solve for x

Substitute in y [1st Equation]: -24x - 4(41 - 6x) = -164
[Distributive Property] Distribute -4: -24x - 164 + 24x = -164
[Addition] Combine like terms: -164 = -164

Here we see that -164 does indeed equal -164.

∴ We have an infinite amount of solutions.

6 0

3 years ago

What is the square root of -1

Romashka [77]

Answer:

Step-by-step explanation:

Now, before you think I'm just stealing points, let me explain. The square root of a number is the number that, if you multiply it by itself, it equals that number. The square root of 4 is 2, because 2 * 2 = 4.

Also, a negative number times another negative number, is a positive number. -2 * -2 = 4

With both of those true, then what number could be multiplied by itself to equal a negative number? i.

i is a weird number that I don't really know how to explain all that well. I am sorry, but that is all that I can give you. i is very complex and has various different equivalents, and different meanings, but i is equal to $\sqrt{-1}$ .