Please help me with this

Find the value of x that will make L||M. Please help me on this one!!!!!!! I need this done.

Galina-37 [17]

The given angles are known as alternate interior angles.

For line L and M to be parallel, the two given angles must be the same.

Set them to equal each other and solve for X.

7x - 7 = 4x +14

Add 7 to each side:

7x = 4x +21

Subtract 4x from each side"

3x = 21

Divide both sides by 3:

X = 21 / 3

X = 7

5 0

3 years ago

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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]

ANSWER:

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 $\frac{25 x}{3} \text { feet }$

SOLUTION:

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 $\frac{25 x}{3} \text { feet }$

5 0

3 years ago

Identify the slope of the equation: y = 5x + 2

slega [8]

Answer:

slope is 5

Step-by-step explanation:

y=mx + b

y=5x =2

m = slope therefore is 5

5 0

4 years ago

Find the equation of the line that passes thru (-1,-5) and is parallel to 3x+y=-5. Show work.

sertanlavr [38]

Answer:

$y=-3x-8$

Step-by-step explanation:

slope-intercept form:

$y=mx+b$

Start with the given equation, and to find the slope, convert it to slope-intercept form by solving for y.

$3x+y=-5$

In this case, all you need to do is subtract 3x from both sides.

$y=-3x-5$

Here, the slope is -3. The slope of a parallel line will also be -3.

Now, we have 3 known variables. We have the slope and the x and y of a known point. Use those 3 knowns to solve for the 1 unknown, the y-intercept.

$y=mx+b\\-5=(-3)(-1)+b\\-5=3+b\\-8=b\\b=-8$

Finally, with the slope and the y-intercept, you can write the equation of the line:

$y=-3x-8$

3 0

3 years ago

A computer programm contains one error.in order to find the error, we split the program in to blocks and test 2 of them,selected

kolezko [41]

If the E(X) = 1 then that means it has a 100% which is incorrect.
Each block has an equal probability to contain the error so 1/3 because you choose 2/6.

5 0

3 years ago

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Please help me with this