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2 years ago

PLEASE HELP!!!!!!!!!!!!!

Mathematics

1 answer:

Naddik [55]2 years ago

8 0

Answer:

Step-by-step explanation:

a) To find the length of diagonal XT, we can use the distance formula to get $\sqrt{(-3-5)^{2}+(4-(-2))^{2}}=10$

Since this is a rectangle, XT=YW, meaning YW=10 as well.

b) The area of a rectangle is given by length times width. The length is |-3-5|=8, and the width is |-2-4|=6. So the area is (8)(6)=48.

c) The perimeter is just 2(8+6)=28.

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What is the measure of CAD?

shusha [124]

I am pretty sure 52 degrees

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3 years ago

Read 2 more answers

Log((4x)/(8))=log(x-5)

creativ13 [48]

The given logarithmic equation solved for x is x = 10

<h3>Solving Logarithmic equations</h3>

From the question, we are to solve the given logarithmic equation.

The given logarithmic equation is

log((4x)/(8)) = log(x - 5)

To solve the given logarithmic equation, we will determine the value of the unknown variable.

The unknown variable in the equation is x.

From one of the rules of logarithm, we have that

If logₓY = logₓZ

Then,

Y = Z

Thus,

From log((4x)/(8)) = log(x - 5)

We can write that

(4x)/(8) = (x - 5)

Now, solve for x

(4x)/(8) = (x - 5)

Multiply both sides by 8

8 × (4x)/(8) = (x - 5) × 8

4x = 8x - 40

Subtract 8x from both sides of the equation

4x - 8x = 8x - 8x - 40

-4x = -40

Multiply both sides by -1

-1 × -4x = -1 × -40

4x =40

Divide both sides by 4

4x/4 = 40/4

x = 10

Hence, the solution of the equation is x = 10

Learn more on Solving logarithmic equation here: brainly.com/question/237323

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8 0

1 year ago

Show work please!!!!! HELPPPP

scoundrel [369]

If you would like to find the volume here:

L•W•H

Big Rectangular: 10•14•6
Small Rectangular: 1•2•3

Surface Area:

2(L•W) + 2(L•H) + 2(W•H)

Big Rectangular: 2(10•14) + 2(10•6) + 2(14•6)
Small Rectangular: 2(1•2) + 2(1•3) + 2(2•3)

7 0

2 years ago

10 is 32% of what number?

Fantom [35]

Answer:

x= 3,2

Step-by-step explanation:

10 ---------------- 100%

x ---------------- 32%

$x=\frac{10\times32\%}{100\%}$

$x=\frac{10\times32}{100}$

$x=\frac{320}{100}$

$x=\frac{32}{10}$

$x=\frac{32\div2}{10\div2}$

$x=\frac{16}{5}$

$x=3,2$

7 0

3 years ago

Given that lines a and bare parallel, what angles formed on line b when cut by the transversal are congruent with <3

Evgesh-ka [11]

Alternate Interior Angles forms when two parallel lines cut by transversal.

Step-by-step explanation:

Transversal is a line that intersects two or more lines.

Alternate Interior Angles forms when two lines are cut by a Transversal, the pairs of angles on either side of the transversal and inside the two lines.

Take 8 angles, 1,2,3,4,5,6,7 & 8 present on the lines A & B. Let C is a transversal cutting the lines A & B.

Here the pairs of angles are 1 & 5, 2 & 6, 3 & 7, 4 & 8.

Alternate Interior angles are 3 & 5, 4 & 6.

If two parallel lines are cut by a transversal, then the alternate interior angles should form congruent.

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3 years ago