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kolbaska11 [484]
3 years ago
12

Quadrilateral ABCD is a rectangle. BD = 6x - 14 and AC = 8x - 20. What is BD?

Mathematics
1 answer:
BigorU [14]3 years ago
8 0

Answer:

4

Step-by-step explanation:

The diagonals are equal length:

6x - 14 = 8x - 20\\-2x = -6\\x = 3

BD = 6x - 14\\BD = 6 * 3 - 14\\BD = 18 - 14\\BD = 4

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Find the measure of each angle in the isosceles trapezoid.
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Answer:

Below in bold.

Step-by-step explanation:

m < C = m < D = 64 degrees

m <A + m < D = 180

m < A + 64 = 180

m<A =  180 - 64 = 116 degrees.

m < B = m< A = 116 degrees.

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3 years ago
You received your monthly bank statement and you are reconciling your account balance using the information below. What is the t
yulyashka [42]

Answer:

it was 345.

Step-by-step explanation:

Balance in your checkbook, $356

Balance on bank statement, $472

Service charge and other fees, $15

Interest earned on the account, $4

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3 years ago
Verify that your point from Question 2 is a solution to 2x-y=-12x−y=−1 AND is also a solution to y=5x-5y=5x−5. What does it mean
Vera_Pavlovna [14]

Answer:

(a) Verified

(b) They are simultaneous equations

Step-by-step explanation:

Given

2x - y = -1

y =5x - 5

Required

Verify that: (x,y) = (2,5) is a solution

We have:

2x - y = -1

Substitute: (x,y) = (2,5)

2 * 2 - 5 = -1

Evaluate all products

4 - 5 = -1

Subtract:

-1 = -1

<em>Because both sides of the equation are equal, then the point is a solution</em>

<em></em>

Also: y =5x - 5

Substitute: (x,y) = (2,5)

5 = 5 * 2 - 5

Evaluate all products

5 = 10 - 5

Subtract:

5 = 5

<em>Because both sides of the equation are equal, then the point is a solution</em>

<em></em>

<em></em>

Because the given point is a solution to both equations, then they are simultaneous equation

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3 years ago
Solve the literal equation<br><br> Solve ax-y/b = c for y
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Wait how would you even do this?
4 0
3 years ago
Evaluate f (x) = 3 (2)x for x=-1
kap26 [50]

The value of the function at x = -1 is 5

<h3>What is  function?</h3>

Function can be defined as an expression, rule, or law that defines a relationship between one variable known as the independent variable and another called the dependent variable.

From the information given, we have that;

f (x) = 3 (2)x  with  x=-1

Now, let's substitute the value of x as - 1 in the function given;

f (x) = 3 (2)x

f (x) = 3 (2) -1

Expand the bracket;

f (x) = 6 - 1

f(x) = 5

Thus, the value of the function at x = -1 is 5

Learn more about functions here:

brainly.com/question/6561461

#SPJ1

8 0
2 years ago
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