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3 years ago

In the figure, b and c are parallel lines. Which of the following statements are true?

Mathematics

1 answer:

Helen [10]3 years ago

4 0

Answer:

1. No, Joe is not correct

2. $\angle 5=72^{\circ}$

Step-by-step explanation:

Given: b and c are parallel lines

To find:

1. whether the given statement is correct or not

2. $\angle 5$

Solution:

Sum of two angles that form a linear pair is equal to $180^{\circ}$

$\angle 3+72^{\circ}=180^{\circ}$ (linear pair)

$\angle 3=180^{\circ}-72^{\circ}=108^{\circ}\neq 90^{\circ}$

So, Joe is not correct

If two lines are parallel then alternate interior angles are equal.

As b and c are parallel lines,

$\angle 5=72^{\circ}$ (alternate interior angles)

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PLEASE HELP ASAP !!!

BartSMP [9]

You know that a straight line has an angle of 180 degrees;

48+x+x=180 <-- since they are all on the same time
48+2x=180
2x=180-48
2x=132
x=132/2
x=66

Therefore, the x value is 66 degree.

Hope I helped :)

8 0

2 years ago

8x10to the 3rd power

asambeis [7]

Answer:

512000

Step-by-step explanation:

8*10

80*80*80

7 0

3 years ago

Read 2 more answers

Find the measure of the arc or angle indicated

MariettaO [177]

Short Answer: arc LM = 110°
Comment
Any two angles that have their end points on the same end points as a chord and both moving away in the same direction (in this case down ) are equal. This is a fundamental fact about circles.

Equation
2x + 55 = x + 55
the only way this is going to make any sense is if x = 0. No other value is possible because it will destroy the equality.

Conclusion
Both angles = 55

But that's not what you are asked for.

What you are asked for
You want to know the measure of arc LM.
The angle connecting the center of the circle with its two arms running through the end points of the chord = the measure of arc LM

Draw a dot where the center of the circle is and call it O. Draw in <MOL
<MOL = 2* either of the 55° = 2 (<LKM) = 2 * 55 = 110° That's a property of the central angle.

The measure of arc LM = 110°

6 0

3 years ago

A factory sells backpacks for $40.00 each. The cost to make 1 backpack is $10.00. In addition to the cost of making backpacks, t

Angelina_Jolie [31]

Answer:

<h2>The factory needs to sell 327 packbacks to make at least 9,800 per week.</h2>

Step-by-step explanation:

We know that each backpacks is sold for $40.00.

The goal is to make at least $9,800 per week. With this information we can define the inequality

$40x -10x \leq 9,800$

Where $x$ represents backpacks. Notice that this inequality is about profits, that's why we subtract the cost from the sell price, in this case, the profid margin is $30.00 per backpack, so

$30x\leq 9,800$

Solving for $x$

$x\leq \frac{9800}{30}\\ x \leq 326.67$

Therefore, the factory needs to sell 327 packbacks to make at least 9,800 per week.

7 0

3 years ago

A(-3,2) B(5,-4) midpoint is (1,-1)

lesya [120]

$CHECK:\\\\the\ midpoint\ AB:\left(\frac{-3+5}{2};\ \frac{2-4}{2}\right)=\left(\frac{2}{2};\ \frac{-2}{2}\right)=(1;-1)\\-------------------------------\\C(x;\ y)\\\\the\ midpoint\ AC:\left(\frac{-3+x}{2};\ \frac{2+y}{2}\right)\\\\B\ is\ the\ midpoint\ AC\ then:\\\\\frac{-3+x}{2}=5\ and\ \frac{2+y}{2}=-4\\\\-3+x=10\ and\ 2+y=-8\\\\x=10+3\ and\ y=-8-2\\\\x=13\ and\ y=-10\\\\Solution:C(13;-10).$

7 0

3 years ago