The lengths of two sides of a triangle are 11 cm and 19 cm. Identify the range of possible lengths for the third side.

Solution given:

1:

<5=<6

<5+<4=180°[co interior angle]

Substituting value of<5

<6+<4=180°[it shows a property of co interior angle]

So

l || m

2:

<1=90°[ l is perpendicular to t]

<2=90°[m is perpendicular to t]

since

<1=<2[shows property of corresponding angle]

:.

l || m.

3:

<1=<2

<1=<3

substituting value of<1 in second one

<2=<3[which shows property of alternate Angel]

So

Segment ST || segment UV.

4:

<RSP=<PQR......[I]

<QRS+<PQR=180°.....[ii]

from equation I and ii we get

<RSP+<QRS=180°[which shows property of co interior angle ]

So

Segment PS || segment QR

These pictures are the questions given in the pdf, let's get the solutions.

1) Solution

It is given that,

→ <5 = <6

Then the co interior angles,

→ <5 + <4 = 180°

Now substituting value of <5,

→ <6 + <4 = 180°

This shows property of co interior angle.

Therefore, L ll m

2) Solution

Take it as,

→ <1 = 90°

In above eq. L is perpendicular to t.

→ <2 = 90

In above eq. m is perpendicular to t.

Then it will be,

→ <1 = <2

It shows property of corresponding angle.

Therefore, L ll m.

3) Solution

It is given that,

→ <1 = <2 and <1 = <3

Now substitute,

The value of <1 in second one,

→ <2 = <3

This shows property of alternate angle.

Therefore, ST || UV.

4) Solution

It is given that,

→ <RSP = <PQR --- (1)

→ <QRS + <PQR = 180° --- (2)

Now from the equation (1) and (2),

→ <RSP + <QRS = 180

It shows property of co interior angle.

Therefore, PS || QR.

Answer:

x = -3,y = 2

Step-by-step explanation:

3x-2y = -13

4x-3y = -18

~~~~~~~~~~~~~~~~

9x -6y = -39

-8x+6y = 36

x = -3

-12 -3y = -18

-3y = -6

y = 2

Answer:

From first Newton's equation of motion:

[tex]{ \bf{v = u + at}}[/tex]

Substitute the variables:

[tex]{ \tt{11 = 5 + (a \times 3)}} \\ { \tt{3a = 6}} \\ { \tt{a = 2 \: {ms}^{ - 2} }}[/tex]

Acceleration is 2 ms-²

Answer:

Roses 2.70, Lillies 2.45, Carnations 1.60

Answer: 7.1 units

Step-by-step explanation:

Using Pythagorean theory, c^2 - a^2 = b^2

We know c= 10

We know a=7

We are looking for b

10^2 - 7^2 = b^2

51= b^2

Take square root of both sides

7.1=b

Answer:

The probability that Chang gets dressed with a white shirt and tan pants is 25%.

Step-by-step explanation:

Given that Chang has 2 shirts, a white one and a black one, and he also has 2 pairs of pants, one blue and one tan, to determine what is the probability, if Chang gets dressed in the dark, that he winds up wearing the white shirt and tan pants the following calculation must be performed:

Each shirt = 50% chance

Each pants = 50% chance

0.50 x 0.50 = X

0.25 = X

Therefore, the probability that Chang gets dressed with a white shirt and tan pants is 25%.

Answer:

SPEED ANSWER!!!!

Answer:

25 -(.3*25)

25-7.50 = $17.50

Step-by-step explanation:

Answer:

17.50

Step-by-step explanation:

First find the amount of the discount

25 * 30%

25 * .3

7.5

Subtract this from the original amount

25 - 7.5

17.50

Answer:

0.9⁰

Step-by-step explanation:

let unknown angle be x

sin x=47/60

sin x=0.783333

x=sin(inverse) 0.7833333

x=0.9⁰

Answer:

80

Step-by-step explanation:

I = Prt

I = 40  R = .10  T = 5

40 = P (.10)(5)

40 = P(.5)

Divide each side by .5

40/.5 = .5P/.5

80 = P

The interest over 5 years is $80.

The correct option is B.

Simple interest is the borrowing amount added only to the principal amount.

The Formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100,

Where S.I. is simple interest, P is the principal amount, T is the time period and R is the interest rate in a year.

We can use the formula I = Prt to solve for P. We know that I = 40, r = 0.10, and t = 5. Substituting these values, we get:

40 = P(0.10)(5)

Simplifying:

40 = 0.5P

Dividing both sides by 0.5:

P = 80

Therefore, the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years is $80.

To learn more about the simple interest; https://brainly.com/question/25845758

#SPJ7

Answer:

y = -2x - 6

Step-by-step explanation:

Going from the first point to the second, we see x decreasing by 8 from 1 to -7 (this is the 'run') and y increasing by 16 from -8 to +8 (this is the 'rise').  Thus, the slope of the line through these two points is m = rise/run =  16/(-8) = -2.

Using the point-slope formula y - k = m(x - h) and the point (1, -8), we get:

y + 8 = -2(x - 1), or

y = -8 - 2x + 2, or

y = -2x - 6 (in slope-intercept form)

Answer:

72cm

Step-by-step explanation:

We have 4/6 sides. 4 of them are given, and they are 13.25cm, 7.25cm, 7.75cm, and 22.75cm.

The perimeter is found when you add all the lengths of the sides of a figure.

So far, we can add 13.25+7.25+7.75+22.75 = 51cm.

Let's call the first ungiven side A. We can see that 7.75cm + A = 13.25cm. Using this, we can figure out that A = 13.25-7.75 = 5.5cm.

We can call the second ungiven side B. We see that 7.25cm + B = 22.75cm. So, B = 22.75-7.25 = 15.5cm.

Now, let's add everything together. 51cm + A + B = Perimeter. 51cm + 5.5cm + 15.5cm = 72cm.

Hope this helps! Feel free to ask any questions if this doesn't make sense. :)

Answer:

$281.37

Step-by-step explanation:

249x0.13=32.37

249+32.37= 281.37

Answer:

Total cost of e-reader = 281.37

Step-by-step explanation:

= 249+249×13%

=249+32.37

=281.37

Answer:

Option D

Step-by-step explanation:

There are no real solution for the given equation

Answered by GAUTHMATH

Answer:

0.858

Step-by-step explanation:

2 1/2 from oz to pound is 0.156 and then mutiply that by 5.50 is 0.858

Answer:

92

Step-by-step explanation:

Angle 2 and 92 are corresponding angles and corresponding angles are equal when the lines are parallel

Answer:

[tex]\angle 2=92^{\circ}[/tex]

Step-by-step explanation:

When two parallel lines are cut by a traversal, their corresponding angles are always equal. Corresponding angles can be found if you took each point of intersection and aligned them up with each other.

In this case, we see that [tex]\angle 2[/tex] and the angle marked as 92 degrees correspond with each other. Since all corresponding angles are equal, we have:

[tex]\angle 2=\boxed{92^{\circ}}[/tex]

Answer:

A odd index can go to " - infinity "

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex][(6^{2}+8^{2})^{\frac{1}{2}}]^{3} = [(36+64)^{\frac{1}{2}}]^{3}\\\\= [(100)^{\frac{1}{2}}]^{3}\\\\= 10^{3}\\\\= 1000[/tex]

Answer:

30, 90

1 : √3 : 2

Step-by-step explanation:

let the smaller angle be x

hence, the other angle = 3x

180-60=4x

4x = 120

x = 120/4 = 30

other angle = 3(30) = 90

the triangle is a 30-60-90 triangle,

hence the ratio of the sides are 1:√3:2

( short leg : long leg : hypotenuse )

Answer:

yes

yes

no

no

Step-by-step explanation:

4.

Additive inverses are the same number with different signs, one positive and one negative. they must add to zero. For example, -1 and 1 are additive inverses since they add to zero.

yes

yes

no

no

Answer:

y=-2x+7

Step-by-step explanation:

Try plotting the points on desmos. Then use the slope to find the y value.

Answer:

{-7,-6,-5,-4}

Step-by-step explanation:

Answer:

thats not correct answer thats an odyssey question and i just tried the answer and its not right just wanted everybody to know

Step-by-step explanation:

Answer:

Basically if you know side-angle-anlge, you can determine the third angle by

3rd angle = 180 - angle 1 - angle2

In this way, you are using the Angle-Side-Angle method of congruence.

Step-by-step explanation:

Answer:

In this case SAA is a valid means for establishing triangle congruence. You can see in the following image. The triangles are the same, in other words congruent. How I figured it out was by making a random triangle (ABC) then finding the lengths and angles.  From there, I picked a random side (AB) and angles (A) and (B) after I transferred the information I had and put it into a new triangle. Using this formula to determine the third angle: 3rd angle (C = 45*) = 180* - angle A (45*) - angle B (90*). From there, I looked for where line (BC) and (CA) would connect. Leaving me with two congruent triangles.

Answer:

9/20

Step-by-step explanation:

1. 3/8 / 5/6

2. 9/20

Answer:

[tex] \sf \: \frac{9}{20} [/tex]

Step-by-step explanation:

Given problem,

[tex] \sf \rightarrow \: \frac{ - 3 }{ \: 8} \div \frac{ - 5}{ \: 6} [/tex]

Let's solve the problem,

[tex] \sf \rightarrow \: \frac{ - 3}{ \: 8} \div \frac{ - 5}{ \: 6} [/tex]

[tex] \sf \rightarrow \: \frac{ - 3}{ \: 8} \times \frac{ - 6}{ \: 5} [/tex]

[tex] \sf \rightarrow \: \frac{( - 3 \times - 6)}{(8 \times 5)} [/tex]

[tex] \sf \rightarrow \: \frac{18}{40} = \frac{9}{20} [/tex]

Hence, the answer is 9/20.

Answer:

It is the third one

Step-by-step explanation:

c

===========================================================

Explanation:

Let x and y be the two integers such that |x| > |y|. This is another way of saying that x is further away from 0 compared to y.

Their quotient being 7 means x/y = 7 which rearranges to x = 7y

The sum of the integers is -32 which allows us to say....

x+y = -32

7y+y = -32

8y = -32

y = -32/8

y = -4

Use this y value to find x

x = 7y

x = 7*(-4)

x = -28

The two integers are -28 and -4.

Answer:

1/36

Step-by-step explanation:

There are 6 possible outcomes 1,2,3,4,5,6

P(1) = number of outcomes that equal1 / total

        =1/6

Roll again

P(1) = 1/6

These are independent events so we can multiply the probabilities

P(1 roll again 1) = 1/6 * 1/6 = 1/ 36

Answer:

Step-by-step explanation:

To evaluate such, the following must be comprehended:

Slope: Rise/Run.

X-intercept: The peculiar point in which the observed linear data intersects the x-axis.

Y-intercept: The peculiar point in which the observed linear data intersects the y-axis.

To evaluate for the slope, which is defined as the agglomerate distance between two points contained within linear data, the following equation must be utilized:

m = (y2 - y1) / (x2 - x1)

Points utilized or given: (-1, 2) and (7, 2).

2 - 2 / 7 + 1 = 0/8 ==> 0

Henceforth, the slope for the particular configuration, as provided, is understood as zero (0).

Utilizing the integral of one of the points provided, as well as slope evaluated for, the following equation could be exploited:

Point-Slope Formula:

Y- y1 = m(x - x1)

Y - 2 = 0(x - 7)

Y - 2 = 0

Y = 2

Hence, the answer to the peculiar interrogate is disclosed as 2, which is identified as where the horizontal line intersects the y-axis at (0, 2).

*I hope this helps.