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3 years ago

Given that k ∥ l, identify the congruent angles in the triangles. ∠1≅ ∠2≅ ∠3≅

Mathematics

2 answers:

rewona [7]3 years ago

5 0

Answer:

1.Angle 5

2.Angle 4

3.Angle 6

Step-by-step explanation:

WARRIOR [948]3 years ago

4 0

6 angels hope get it right

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Find the circumference and the area of a circle with radius 3 m.

Effectus [21]

Answer:

$\boxed {c= 18.84 \ m}$

$\boxed {a=28.26 \ m^2}$

Step-by-step explanation:

We are asked to find the circumference and area of a circle with a radius of 3 meters.

<h3>1. Circumference </h3>

The circumference is the perimeter of a circle. It is calculated using the following formula:

$c= \pi d$

We know the radius of the circle is 3 meters, but we must find the radius. The radius is the line from the center to the circle's edge, while the diameter is the line through the center from edge to edge. Therefore, the diameter is twice the radius.

d= 2 r
d= 2 * 3 m
d= 6 m

The diameter is 6 meters and we are using 3.14 for pi. Substitute these values into the circumference formula.

$c= (3.14)(6 \ m )$

Multiply.

$\bold {c= 18.84 \ m}$

The area is the size of the circle's surface. It is calculated using the following formula.

$a= \pi r^2$

The radius is 3 meters are we are using 3.14 for pi. Substitute these values into the area formula.

$a= (3.14)(3 \ m)^2$

Solve the exponent.

(3 m)² = (3 m)(3 m)= 9 m²

$a= (3.14)(9 \ m)^2$

$\bold {a=28.26 \ m^2}$

The circumference is 18.84 meters and the area is 28.26 square meters.

6 0

3 years ago

This box is a right rectangular prism with a base that has dimensions of 6 m and 7 m. The volume of the box is 378 m3. What is t

Over [174]

Answer:

29.07m³

Step-by-step explanation:

7+6=13

378÷13=29.07m³

5 0

3 years ago

Read 2 more answers

6(X - 2) = -48<br><br> Find x

Darya [45]

Answer:

6x-12=-48

6x=-36

x=-6

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

(2x² - 5x-3)/ (x-3)<br> DIvide the polynomials

Anika [276]

Answer:

2x + 1

Step-by-step explanation:

$\frac{(2x² - 5x-3)}{(x - 3)}$

Factor out 2x² - 5x-3

$\frac{(2x + 1)(x - 3)}{x - 3}$

divide x - 3 by x - 3

=> 2x + 1

<em><u>Or another step</u></em>

Step by Step Solution

STEP

Equation at the end of step 1

STEP

2x² - 5x - 3/ x - 3

Trying to factor by splitting the middle term

2.1 Factoring 2x² - 5x - 3

The first term is, 2x² its coefficient is 2 .

The middle term is, -5x its coefficient is -5 .

The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6

Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .

-6 + 1 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 1

2x² - 6x + 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (x-3)

Add up the last 2 terms, pulling out common factors :

1 • (x-3)

Step-5 : Add up the four terms of step 4 :

(2x+1) • (x-3)

Which is the desired factorization

Canceling Out :

2.2 Cancel out (x-3) which appears on both sides of the fraction line.

Final result :

2x + 1

6 0

2 years ago

What is 6.84 in word form

alexandr402 [8]

Six point eight four.

(Note, you don't say, "Six point eighty-four" As it doesn't sound correct.

Cheers.

5 0

3 years ago

Read 2 more answers