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3 years ago

The diagram below shows two parallel lines, m and n, cut by a transversal, k. Angles A, B, and C are shown in the diagram

Mathematics

1 answer:

puteri [66]3 years ago

8 0

9514 1404 393

Answer:

Step-by-step explanation:

Angles A and C are vertical angles; angles B and C are alternate interior angles. Only line 3 of the proof is in error.

The applicable description is found in choice B.

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Rob maintains an average monthly balance on his credit card of $1,900. His credit card company charges 21% interest annually, wh

xxMikexx [17]

Answer:

1.23

Step-by-step explanation:

1.23 - 0.01 + 0.01= 1.23

3 0

3 years ago

Solve for x 33x+10=5-2x

nignag [31]

Our equation: 33x + 10 = 5 - 2x

Step 1:

To solve for x, we need to remember to isolate the variable (that is our way to solve for x). To do that, we add 2x on the right side of the equation to cancel -2x out. Then, we add 2x on the left of the equation. The equation becomes:

$35x+10=5$

Step 2:

We subtract 10 from both sides (to cancel out the 10 on the left). Equation:

$35x=-5$

Step 3: Divide 35 on both sides to get our x value.

$\frac{35x}{35}=x\\\\\frac{-5}{35} =\frac{-1}{7}$

Answer: $x=\frac{-1}{7}$ Hope this helps!

4 0

3 years ago

As a 7 1/4 inch candle burns down, its height we decreases three-quarter inch inch each hour. How many hours does it take for th

Pani-rosa [81]

Answer:

9.5 hours

Step-by-step explanation:

8 0

4 years ago

50 POINTS FOR CORRECT AWNSER!

Grace [21]

Answer:

$\mathsf{y < \dfrac47x-4}$

Step-by-step explanation:

<u>First, find the equation of the line</u>.

<em>Slope-intercept form</em> of a linear equation: $\mathsf{y=mx+b}$

(where m is the slope and b is the y-intercept)

From inspection of the graph, the y-intercept is at (0, -4)

Therefore, b = -4

Choose another point on the line, e.g. (7, 0)

Now use the slope formula to find the slope:

$\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}$

where:

$\mathsf{(x_1,y_1)=(0,-4)}$
$\mathsf{(x_2,y_2)=(7,0)}$

$\implies \mathsf{slope=\dfrac{0-(-4)}{7-0}=\dfrac47}$

Therefore, the equation of the line is:

$\mathsf{y=\dfrac47x-4}$

For an inequality, the dashed line means < or > (whereas a solid line means ≤ or ≥)

As the shading is below the line, we need to use <

Therefore, the final inequality is:

$\mathsf{y < \dfrac47x-4}$

8 0

2 years ago

At a store , 24 bottles of water and 6 bags of chips costs $23.40. Five bottles of water and two bags of chips cost $6.60. What

vagabundo [1.1K]

24w+6c=$23.40

5w+2c=$6.60

So you have to find c (chips) first. You have to make the number of chips in both equations cancel each other.

-3(5w+2c)=-3($6.60)
-15w-6c=$-19.80

Then subtract to get one formula
24w + 6c = $23.40
-15w - 6c = $-19.80

9w = $3.60
w=$.40

To check your answer, find how much one bag of chips costs:
5($.40) + 2c = $6.60
$2.00 + 2c = $6.60
2c = $4.60
c=$2.30

Plug your value for one water and one bag of chips into the formula:
5($.40) + 2($2.30)
$2.00 + $4.60
=$6.60

Then plug your values into the original problem:
24($.40) + 6($2.30)
$9.60 + $13.80
=$23.40

4 0

4 years ago

Read 2 more answers