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3 years ago

Solve for x. (parallelogram)

Mathematics

1 answer:

victus00 [196]3 years ago

7 0

The value of x is 55°

Step-by-step explanation:

Given figure is a parallelogram.

In a parallelogram, the opposite sides are equal and parallel and the opposite angles are equal.

This means that,

in the given parallelogram

m∠A=m∠C=x°

m∠B=m∠D=(2x+15)°

The sum of interior angles of a parallelogram is 360 degrees.

So,

m∠A+m∠B+m∠C+m∠D=360°

Putting the values of angles

$x+(2x+15)+x+(2x+15)=360\\x+2x+15+x+2x+15=360\\6x+30=360\\Subtracting\ 30\ from\ both\ sides\\6x+30-30=360-30\\6x=330\\Dividing\ both\ sides\ by\ 6\\\frac{6x}{6}=\frac{330}{6}\\x=55$

The value of x is 55°

Keywords: Parallelogram, angles

Learn more about parallelograms at:

#LearnwithBrainly

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blagie [28]

Number of bracelets made is 4 and number of necklace made is 8

Solution:

Let "b" be the number of bracelets made

Let "n" be the number of necklace made

amount of gold in 1 bracelet = 6 grams

amount of gold in 1 necklace = 18 grams

Given that he made 4 more necklaces than bracelets

number of necklace made = 4 + number of bracelets made

n = 4 + b -------- eqn 1

The jeweler used 168 grams of gold

Therefore, we can frame a equation as:

number of bracelets made x amount of gold in 1 bracelet + number of necklace made x amount of gold in 1 necklace = 168

$b \times 6 + n \times 18 = 168$

6b + 18n = 168 ---------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

6b + 18(4 + b) = 168

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b = 4

From eqn 1,

n = 4 + b

n = 4 + 4

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Thus number of bracelets made is 4 and number of necklace made is 8

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3 years ago

Find the nonpermissible replacement for y in the expression y-3/y+3

Nastasia [14]

Answer:

The nonpermissible replacement of the variable y is -3

Step-by-step explanation:

The nonpermissible replacement of the variable in a certain expression is the value of the variable that will make the denominator of the expression zero.

The expression $\dfrac{y-3}{y+3}$ has the denominator $y+3.$