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3 years ago

12

Determine whether the quadrilateral is a parallelogram. Justify you answer.

1 answer:

agasfer [191]3 years ago

4 0

Answer:

It is a quadrilateral.

Step-by-step explanation:

Quadrilateral is a 4-sided shape where the total angles is 360°.

So when you add up all the angles, you will get 360°.

You might be interested in

a rectangle has a length of (x+3) centimeters and a width of 1/2x centimeters. If the perimeter is 24 centimeters, what is the l

bogdanovich [222]

Answer:

The length of the rectangle is 9 cm

Step-by-step explanation:

Given: The length of rectangle(l) = (x+3) cm and a width of rectangle (w) = $\frac{1}{2} x$ cm a

Also, perimeter of rectangle is 24 cm.

Perimeter of rectangle is to add the lengths of all the four sides.

Perimeter of rectangle (P) is given by;

P=2(l+w)

Substituting the value of P = 24 cm , l = (x+3) cm and w = $\frac{1}{2} x$

then,

$24 = 2 (x+3+\frac{1}{2} x)$

Divide by 2 both sides of an equation;

$12 = x+3+\frac{1}{2}x$

Combine like terms;

$12 =\frac{3x}{2} +3$

Subtract 3 from both the sides we get;

$12-3 = \frac{3x}{2} +3-3$

Simplify:

$9 =\frac{3x}{2}$

Multiply both sides by $\frac{2}{3}$ we get

$x = 9 \times \frac{2}{3} = 3 \times 2 = 6$

Therefore, length of rectangle(l) = (x+3) = 6+3 = 9 cm

6 0

3 years ago

2x — бу = 12<br> х+ 10 = — 9

Serggg [28]

Answer:

x = -19; y = 25/3

Step-by-step explanation:

Step 1: solve the equation with only one variable

Isolate the variable (x)

x + 10 = -9

x = -9 - 10

x = -19

Step 2: input new information into the other equation

If x = -19, then:

2(-19) - 6y = 12

Isolate the variable (y)

-38 - 6y = 12

-6y = 12 + 38

-6y = 50

y = 50 ÷ 6

y = 50/6

Simplify

y = 25/3

5 0

3 years ago

Given that x = -2 - 3i and y = 4 + 2i , Match The Expressions.

shtirl [24]

Answer:

$3y-2x=16+12i$

$-3x \cdot y=6+48i$

$x \cdot 2y=-4-32i$

$x-y=-6-5i$

Step-by-step explanation:

Given:

$x=-2-3i$

$y=4+2i$

---

1st problem:

$3y-2x$

$3(4+2i)-2(-2-3i)$

Distribute:

$12+6i+4+6i$

Combine like terms:

$16+12i$

---

2nd problem:

$-3x \cdot y$

$-3(-2-3i) cdot (4+2i)$

$-3(-2-3i)(4+2i)$

Distribute -3 to first factor:

$(6+9i)(4+2i)$

Use foil to simplify:

$24+12i+36i+18i^2$

Replace $i^2$ with -1:

$24+48i-18$

Combine like terms:

$6+48i$

---

3rd problem:

$x \cdot 2y$

$(-2-3i) \cdot 2(4+2i)$

Distribute 2 to the second factor:

$(-2-3i) \cdot (8+4i)$

$(-2-3i)(8+4i)$

Use foil to simplify:

$-16-8i-24i-12i^2$

Replace $i^2$ with -1:

$-16-32i+12$

Combine like terms:

$-4-32i$

----

4th problem:

$(-2-3i)-(4+2i)$

Distribute:

$-2-3i-4-2i$

Combine like terms:

$-2-4-3i-2i$

Simplify:

$-6-5i$

6 0

3 years ago

Read 2 more answers

Use the slope formula to find the slope of the line that passes through the points (6,3) and (9,8).

Anni [7]

Correct answer is 5/3

8 0

2 years ago

Task: Nonpermissible Values for Rational Expressions [30 points] Write a rational expression that has the nonpermissible values

igor_vitrenko [27]

Answer:

A rational expression that has the nonpermissible values $x = 0$ and $x = 17$ is $f(x) = \frac{4}{x\cdot (x-17)}$ .

Step-by-step explanation:

A rational expression has a nonpermissible value when for a given value of $x$ , the denominator is equal to zero. In addition, we assume that both numerator and denominator are represented by polynomials, such that:

$f(x) = \frac{p(x)}{q(x)}$ (1)

Then, the factorized form of $q(x)$ must be:

$q(x) = x\cdot (x-17)$ (2)

If we know that $p(x) = 4$ , then the rational expression is:

$f(x) = \frac{4}{x\cdot (x-17)}$ (3)

A rational expression that has the nonpermissible values $x = 0$ and $x = 17$ is $f(x) = \frac{4}{x\cdot (x-17)}$ .

8 0

3 years ago