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3 years ago

Given m||n, find the value of (x+12) 4x-7)°

Mathematics

1 answer:

Nookie1986 [14]3 years ago

4 0

9514 1404 393

Answer:

x = 35

Step-by-step explanation:

The marked consecutive interior angles are supplementary:

(x +12)° +(4x -7)° = 180°

5x +5 = 180 . . . . . collect terms, divide by °

x + 1 = 36 . . . . . . . divide by 5

x = 35 . . . . . . . . . . subtract 1

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The principal has a budget of $225 and expects at least 16 people to attend.

ale4655 [162]

Answer:

$48

Step-by-step explanation:

16 x 3 = 48

7 0

3 years ago

Read 2 more answers

20 feet of ribbon, cutting ribbon into 7 1/2 inches or 6 3/4 inch lengths to make bracelets. Write an algebraic expression that

IRINA_888 [86]

<u>ANSWER: </u>

The algebraic expression for number of ribbons is $\frac{20 \text { feet }-\left\{\frac{20 \text { feet }}{x}\right\}}{x}$ and the algebraic expression for length of ribbon is $\frac{25 x}{3} \text { feet }$

<u>SOLUTION: </u>

Given, 20 feet of ribbon, cutting ribbon into $7\frac{1}{2}$ inches or $6\frac{3}{4}$ inch lengths to make bracelets.

Let us convert the mixed fraction to improper fractions.

$7 \frac{1}{2}=\frac{7 \times 2+1}{2}=\frac{15}{2} \text { and } 6 \frac{3}{4}=\frac{6 \times 4+3}{4}=\frac{27}{4}$

Let, the length of bracelets can be made be “x”

First we have to remove the excess length of ribbon and then we have to divide the remaining with length of bracelet we want.

$\text { number of ribbons }=\frac{\text { length of ribbon-excess ribbon.}}{\text {length of bracelet}}$

$\left.=\frac{20 \text { feet }-\left\{\frac{20 \text { feep }}{x}\right.}{x} \text { [we know that, }\{x\} \text { is fractional part of } x\right$ ]

So, the algebraic expression for number of ribbons is $\frac{20 \text { feet }-\left\{\frac{20 \text { feet }}{x}\right\}}{x}$

Now, let us find the algebraic expression for feet of ribbon to make 100 ribbons.

We have 100 bracelets of length x, then total length = 100 × x

length of ribbon = 100x inches

$\begin{array}{l}{=100 \mathrm{x} \times \frac{1}{12} \text { feet }} \\\\ {=\frac{25 x}{3} \text { feet }}\end{array}$

So, the algebraic expression for length of ribbon is $\frac{25 x}{3} \text { feet }$

Hence, the algebraic expression for number of ribbons is $\frac{20 \text { feet }-\left\{\frac{20 \text { feet }}{x}\right\}}{x}$ and the algebraic expression for length of ribbon is $\frac{25 x}{3} \text { feet }$

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3 years ago

Find the rate of change

Zina [86]

“Rate of change” means the same as “slope.”

In algebra, we use the word "slope" to describe how steep a line

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any two points that are on that line.

Starting from the point that has the coordinate (-1, -1),

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So our slope or rise/run is -1/3.

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katovenus [111]

The answer is 2x + 15 dollars.

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3 years ago

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Answer:

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