MATHEMATICS MIDDLE SCHOOL

Logan takes a rectangular piece of fabric and makes a diagonal cut from one corner to the opposite corner. The cut he makes is 13 inches long and the width of the fabric is 5 inches. What is the fabric's length?

Answers

Answer 1

Answer:

Answer:

length of the rectangular fabric = $√(75)$

Step-by-step explanation:

The diagonal of the rectangle makes two congruent triangles.

Considering the triangle formed by the diagonal.

As diagonal becomes hypotenuse of the triangle

Diagonal= 10 inch

Width= base of the rectangular piece= 5 inches

Perpendicular of the triangle= length of the rectangular fabric(L)

Using Pythagorean Theorem:

$(Hypotenuse)^2= (Perpendicular)^2+(Base)^2\n(10)^2=(Length)^2+5^2\n\n100=(Length)^2+25\n\n100-25= Length^2\n\n(Length)^2=75\n$

So, the length of the rectangular fabric is $√(75)$

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Whats the value of 1/6^0? 1/6 0 1

Answers

Answer:

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Step-by-step explanation:

Call the three angles of a triangle ∠1,∠2,∠3The measure of ∠2 is forty degrees less than that of ∠1; the measure of ∠3 is ten degrees less than twice that of ∠1If x is the measure of ∠1, then which of the following equations would we need to solve in order to calculate the measures of the angles?

Answers

Answer:

$57.50$ ° is the measure of ∠ $1$ .

$17.50$ ° is the measure of ∠ $2$ .

$105$ ° is the measure of ∠ $3$ .

Step-by-step explanation:

Given that,

$x$ is the measure of ∠ $1$ .

Now,

The measure of ∠ $2$ is forty degree less than that of ∠ $1$ , so ( $x-40$ ) is the measure of ∠ $2$ .

The measure of ∠ $3$ is ten degree less than twice that of ∠ $1$ , so ( $2x-10$ ) is the measure of ∠ $3$ .

So,

According to Angle sum property,

Sum of the measures of the three angle of triangle is $180$ °.

Now,

∠ $1$ + ∠ $2$ + ∠ $3$ = $180$ °

( $x$ ) + ( $x-40$ ) + ( $2x-10$ ) = $180$ °

$4x - 50 = 180$ °

$4x = 230$ °

$x = 57.50$ °

So,

$57.50$ ° is the measure of ∠ $1$ .

$17.50$ ° is the measure of ∠ $2$ .

$105$ ° is the measure of ∠ $3$ .

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can someonee
help me as soon as possible

Answers

Answer:

y=8

x=20

Step-by-step explanation:

8y+6=70

5x-10=90

because(language persian or farsi)

چون که شکل متوازی الاضلاع است پس دو زاویه مجاور مکمل هستند

همچنین چون feوgh دو خط موازی هستند xhg میشود 70 درجه

A serving of cottage cheese is 2/3. Vanessa has 7/8 cup. How many servings does she have?

Answers

Answer is 1 5/16
You divide 7/8 divided by 2/3 i beleive

Jolly Middle School is building a park, in the shape of a square, with an area of 256 square feet. How much fence do they need to buy to close in the park?