ABCD is a rectangle. Find the length of each diagonal.AC = 3(x - 5) and BD = x + 11
AC =
BD =
Please help!

Answers

Answer 1
Answer:

Answer:

AC=BD

3(x-5)=x+11

3x-15 = x+11

2x=26

x= 13

AC= 3(13 -5)= 24

BD= 13+11 = 24

Step-by-step explanation:


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Answers

Answer:

1.590

Step-by-step explanation:

Answer:

0.159

Step-by-step explanation:its obvious hope this helped tho

Please help. Write each phrase as an algebraic expression.

Answers

Answer:

The operation for 7 and x = addition

The expression= 7 + x

The quotient of z and 3

The operation is= dividing

The expression is= (z)/(3)

A submarine out of death of 2167 feet ascends to a depth of 609ft. How far did the submarine ascend?

Answers

Answer:

A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new ... Roman Civilization began in 508 B.C. and ended in 476 A.D. How long did Roman Civilization last? 476-(-508) = 476+508 = 984 ...

Drag each figure to show if it is similar to the figure shown or why it is not similar

Answers

Answer:

In the given shapes above, we can see that all shapes have four sides.

Above geometrical shapes could be named as Rectangles, parallelogram or quadrilateral.

First two shapes are Rectangles.

Third is a parallelogram.

Fourth and fifth shapes are Rectangles again.

Also we can say all those shapes with four side as quadrilaterals. (Note: A quadrilateral has four sides.)

Below shown shape has only three sides in it.

It is called a triangle when a shape has three sided close figure.

So, we could drag : Not similar - Different Type of shape.

Order of operations (41-3^2)-(4+4)

Answers

Order is operation is PEMDAS which means Parentheses, Exponents Mulitiplication,division,Addition and Subtraction so you follow the order whether they exist or not.

So (41-3^2)-(4+4)=

41-9-8 = 32-8 = 24

A polling company conducts an annual poll of adults about political opinions. The survey asked a random sample of 419 adults whether they think things in the country are going in the right direction or in the wrong direction, 54% said that things were going in the wrong direction. How many people would need to ve surveyed for a 90% confidence interval to ensure the margin or error would be less than 3%?

Answers

Answer: 747

Step-by-step explanation:

When prior estimate of population proportion (p) is given , then the formula to find the sample size is given by :-

n=p(1-p)((z^*)/(E))^2

, where z* = Critical value and E = Margin of error.

As per given , we have

p= 0.54

E= 0.03

Critical value for 90% confidence : z* = 1.645

Then, the required sample size is given by :-

n=0.54(1-0.54)((1.645)/(0.03))^2

n=0.2484(54.8333333333)^2

n=746.862899999\approx747

Hence, the number of people would be needed = 747