All categories

1 year ago

Suppose RS is conjurated to MN. For each of the set of lengths, solve for X, and find the length of each segment.

Mathematics

1 answer:

NeX [460]1 year ago

3 0

If RS is congruent to MN then the value of x in all the parts are 6,4, and 10.

Given RS is congruent to MN.

We are required to find the value of x if RS is congruent to MN.

Congruent lines are those lines whose lengths are equal to each other.

1) RS=x+10, MN=2x+4.

Because the congruent lines have equal lengths so , RS=MN.

x+10=2x+4

x-2x=4-10

-x=-6

x=6

2) RS=3x-2, MN=x+6

Because the length of lines are equal,so RS=MN.

3x-2=x+6

3x-x=6+2

2x=8

x=4

3) RS=5x-10, MN=2x+20

The lengths are equal so RS=MN.

5x-10=2x+20

5x-2x=20+10

3x=30

x=10

Hence if RS is congruent to MN then the value of x in all the parts are 6,4, and 10.

Learn more about congruent lines at brainly.com/question/28220245

#SPJ9

You might be interested in

Solving Quadratic Equations using the Square Root Property

Afina-wow [57]

Answer:

$x = -2$ or $x = -5$

Step-by-step explanation:

You need to complete the square before you can take the square root of both sides.

$x^2 + 7x + 10 = 0$

Subtract 10 from both sides.

$x^2 + 7x = -10$

To complete the square, you need to add the square of half of the x-term coefficient to both sides.

The x-term coefficient is 7. Half of that is 7/2. Square it to get 49/4. Now we add 49/4 to both sides of the equation.

$x^2 + 7x + \dfrac{49}{4} = -10 + \dfrac{49}{4}$

$(x + \dfrac{7}{2})^2 = -\dfrac{40}{4} + \dfrac{49}{4}$

$(x + \dfrac{7}{2})^2 = \dfrac{9}{4}$

Now we use the square root property, if

$x^2 = k$ , then

$x = \pm \sqrt{k}$

$x + \dfrac{7}{2} = \pm \sqrt{\dfrac{9}{4}}$

$x + \dfrac{7}{2} = \pm \dfrac{3}{2}$

$x + \dfrac{7}{2} = \dfrac{3}{2}$ or $x + \dfrac{7}{2} = -\dfrac{3}{2}$

$x = -\dfrac{4}{2}$ or $x = -\dfrac{10}{2}$

$x = -2$ or $x = -5$

5 0

3 years ago

The position function for a free-falling object is s(t) = -16t^2 + vt +5. A ball is thrown upward from the top of a 400-foot bui

mixer [17]

Answer:

6.21 seconds

Step-by-step explanation:

The position function of a free-falling object is,

$s(t) = -16t^2+v_0t+s_0$

Where,

$s_0$ = initial height of the object,

$v_0$ = initial velocity of the object,

Here,

$s_0=400\text{ feet}$

$v_0=35\text{ feet per sec}$

Hence, the height of the ball after t seconds,

$s(t)=-16t^2+35t+400$

When s(t) = 0,

$\implies -16t^2+35t+400=0$

$t=\frac{-35\pm \sqrt{35^2-4\times -16\times 400}}{2\times -16}$

$t=\frac{-35\pm \sqrt{1225+25600}}{-32}$

$\implies t\approx -4.02\text{ or }t\approx 6.21$

∵ Time cannot be negative,

Hence, after 6.21 seconds the ball will reach the ground.

4 0

3 years ago

T or F: If you consume more calories, you must decrease your physical activity to have energy

jarptica [38.1K]

Answer:

Step-by-step explanation:

When your losing weight after consuming more calories, you need to increase physical activity to increase the number of calories your body uses for energy.

8 0

2 years ago

Read 2 more answers

How to write 19,000+400+1+60=

zloy xaker [14]

Answer: 19,461

Step-by-step explanation:

Add 19,000+400 get 19,400

Add 19,400+60 and get 19,460 add 1 and get 19,461

8 0

3 years ago

Dawn comma Sergio comma Tyrone comma and Jim have all been invited to a dinner party. They arrive randomly and each person arriv

professor190 [17]

Answer:

a. 24

b. 2

c. 0.0833 = 8.33%

Step-by-step explanation:

The first "slot" of person to arrive has 4 possibilities, then the second "slot" will have 3 possibilities, as one has already arrived, then the third "slot" has 2 possibilities, and the fourth "slot" has just 1 possibility.

So, multiplying all these combinations, we have 4*3*2*1 = 24 possible ways they can arrive

If the first and the last person are already "locked", we just have possibilities for the second and third person. The second will have 2 possibilities (Sergio or Tyrone), and the third will have only 1 (the person that wasn't the second between Sergio and Tyrone). So, the number of possibilities is 2*1 = 2

If we have 2 cases where Dawn is first and Jim is last, from a total of 24 possible cases, the probability is 2/24 = 1/12 = 0.0833 = 8.33%

3 0

3 years ago