The lengths of the sides of a triangle are in the extended ratio 5: 8:10. The perimeter of the triangle is 115 cm. What are the lengths of the sides?
The lengths of the sides in cm are ____

Answer:

∠1 is 90° because it is a right angle

To find angle 2, we must add the given angles and x then make the equation equal to 180°, which we next solve for x;

x + 90 + 30 = 180

x + 120 = 180

-120        -120

x = 60, ∠2 = 60°

Angle 5 is vertical to angle 1 which equals 90 degrees, and vertical angles are congruent meaning that they measure the same degrees so therefore ∠5 = 90°

Angles 4 and 40° are vertical to angle 2 which measures 60 degrees;

40 + x(where x equals angle 4) = 60

-40       -40

x = 20, ∠4 = 20°

Specified earlier, angles 40° and 4 are equal to 60°, this means that angle three added to angles 40° and 4 will be equal to 90 degrees since angle 1 is 90 degrees and the other three angles will have to equal 90 degrees because they are supplementary.

So we set up the equation;

40 + 20(angle four) + x = 90

60 + x = 90

-60       -60

x = 30, ∠3 = 30°

Answer:

$78.75

Step-by-step explanation:

Principle: $750

Interest rate: 3.5%

Time: 3 years

750 x 3 x 3.5 % = $78.75

Answer:

Step-by-step explanation:

Answer:

x=5

Step-by-step

5x+2(2x+3)=51

5x+4x+6=51

9x+6=51

9x=45

x=5

Step-by-step explanation:

2×3=6 I think it's like this

Answer:

5x+3

Step-by-step explanation:

(5x+7) is a factor of 10x^2+41x+21.

(5x+3)(2x+7) = 10x^2+41x+21.

It is difficult to understand if human beings are truly aware that there is such a moral law, given that they don't share the same principles regarding rules of life.

Natural law is supposed to be a universally valid, superior or better law that is considered natural, grounded in the natural order of things. This is the opposite of positive law, the law created by humans.

According to legal positivism, natural law is problematic, since even the so-called fundamental values ​​and norms are not collective, but can conflict and even oppose each other.

In philosophy, natural law is the designation of a way of thinking about man and society that has existed for more than two thousand years, which is based on the basic idea that human nature exists and that society is also based in a natural order.

Learn more about natural law in https://brainly.com/question/545663

In the quadrant (iv) terminal side of the angle fall. A quadrant is a region/section of a cartesian plane formed when the two axes intersect. It's used to figure out where a point is in a plane.

A horizontal line reached the x-axis and a vertical line reached the y-axis split a plane into four areas in the cartesian system. Quadrants refer to these four areas.

A quadrant is a region of a cartesian plane formed when the two axes intersect. It's used to figure out where a point is in a plane.

The angle in the standard position is measured at 92 degrees. We shall work in an anticlockwise fashion while evaluating positive angles.

Angles measuring 0° to 90° will be found in quadrant iv. Angles between 90° and 180° fall within quadrant iv. Because 92° is halfway between 90° and 180°,

Hence in the quadrant (iv) terminal side of the angle fall.

To learn more about the quadrants refer to the link;

https://brainly.com/question/350459

Answer:

Quadrant IV

Step-by-step explanation:

An angle whose measure is 92° is in standard position. In which quadrant does the terminal side of the angle fall?Quadrant IQuadrant IIQuadrant IIIQuadrant IV

Answer:

23696

Step-by-step explanation:

[tex]Step1\1\\We\ know\ that:[/tex]

↓

[tex]P=15000[/tex]
[tex]r=6.75[/tex]%
[tex]n=1[/tex]
[tex]t=7[/tex]

[tex]Step\ 2:\ Formulate\ and\ substitute:[/tex]

                                [tex]P=15000[/tex]
                                [tex]r=6.75[/tex]%

[tex]Substitute[/tex]                                  [tex]into\ formula[/tex]

                                [tex]n=1[/tex]
                                [tex]t=7[/tex]

[tex]F=P\ast(1+r/n)^{nt}[/tex]

[tex]F=15000\bullet(1+6.75\bullet\frac{1}{100})^7[/tex]

[tex]Step\ 3:Evaluate[/tex]

[tex]Evaluate\ the\ equation/expression:[/tex]

[tex]23695.53098[/tex]

[tex]Step\ 4:\ Find\ the\ value[/tex]

[tex]Find\ the\ closest\ integer\ to\ 23695.53098:[/tex]

[tex]23696\ YOUR\ ANSWER[/tex]

I hope this helps you

:)

Answer:

So here we have 3 adjacent angles, and add them all up they would equal a right angle as shown in the diagram.

POT is the right angle which can be seen by the square

POQ is the first angle

QOS is the second

SOT is the third

Now solve it.

We know that it has to be equal to 90 since thats the final reasoning.

4a + 20 + 3a - 10 + a = 90

Solve.

So you’d get 10.

If you want to elaborate then just say all adjacent angles has to add put o 90 since

Answer:

[tex]\frac{1}{3600}[/tex]

Step-by-step explanation:

400^2 = 160,000

5 2/6 = 32/6 = 16/3

6 70/30 = 250/30 = 25/3

16/3 * 25/3 = 400/9

400/9 / 160,000 = 1/3600

Answer:

1.

a = 112

b = 68

c = 68

2.

a = 127

3.

a=35

b=40

c=35

d=70

4.

a= 30

b=70

c = 30

d=70

e = 130

I'll help you with the rest later

Step-by-step explanation:

a = 112 because of allied angles rule

b and c = 68 because of angles at a point

360-112-112 ÷2

2. a = 127 because of angles on a straight line rule.

180-38-15

3. d= 70, vertically opposite angle

using angles on a straight line, 180 - 70 - 40 ÷ 2

we now have the two angles and because they are vertically opposite a and c = 35

b = 40 because of vertically opposite angles

4. a=30 because 90-70

since a=30, take 90 - 30 to get b, 70

d= 70, vertically opposite angles

e = 130 because a+b+c, vertically opposite angles

Using the normal distribution and the central limit theorem, it is found that the probability the mean cost of the weddings is more than the mean cost of the showers is of 0.9665.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

For each sample, they are given by:

[tex]\mu_W = 82.3, s_W = \frac{18.2}{\sqrt{9}} = 6.0667[/tex]

[tex]\mu_S = 65, s_S = \frac{17.73}{\sqrt{6}} = 7.2382[/tex]

For the distribution of differences, we have that:

[tex]\mu = \mu_W - \mu_S = 82.3 - 65 = 17.3[/tex]

[tex]s = \sqrt{s_W^2 + s_S^2} = \sqrt{6.0667^2 + 7.2382^2} = 9.4444[/tex]

The probability the mean cost of the weddings is more than the mean cost of the showers is P(X > 0), that is, one subtracted by the p-value of Z when X = 0, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0 - 17.3}{9.4444}[/tex]

[tex]Z = -1.83[/tex]

[tex]Z = -1.83[/tex] has a p-value of 0.0335.

1 - 0.0335 = 0.9665.

More can be learned about the normal distribution and the central limit theorem at https://brainly.com/question/24663213

Answer:

  $35.10

Step-by-step explanation:

The discount amount is subtracted from the original price to find the discounted price. That math can be done a couple of different ways.

  discount = discount rate × original price

  sale price = original price - discount

Or, these equations can be combined:

  sale price = original amount × (1 - discount rate)

__

Using the latter equation, we get ...

  sale price = $45.00 × (1 - 0.22) = $45.00 × 0.78 = $35.10

Leia will be paying $35.10 for the jacket.

Answer:

5x +9 is the least common denominator

Step-by-step explanation:

♦The prime number smaller than 18.

Answer:

♦2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

#Let's Study

#I Hope It's Help

#Keep On Learning

#Carry On Learning

Answer:

Hi I'm learning the same thing and I just got it I think it's C=43.98cm

The required equation 4x = - 9 is equivalent to the given equation 3 - 4x = 12. which is the correct answer would be option (C).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question

⇒ 3 - 4x = 12

Subtraction by 3 on both sides of the above equation,

⇒ 3 - 3 - 4x = 12 - 3

⇒ 0  - 4x = 9

⇒ - 4x = 9

Multiply by (-1) on both sides of the above equation,

⇒  4x = - 9

Therefore, the required equation 4x = - 9 is equivalent to the given equation 3 - 4x = 12.

Hence, the correct answer would be an option (C).

Learn more about the equation here:

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#SPJ2

Answer:

the answer is 6C+24 or if you divide 6 on both sides c+4

examples/expressions:

1. 4(1.5c+6)

2. 3(2c+8)

3. 2(3c+12)

4. 12(0.5c+2)

Answer:

76 m^2

Step-by-step explanation:

Area of a rectangle is width*height. So to find width we will do area/height.

Answer: 4

Step-by-step explanation:

Simply divide 12 by 3 because it states she will give 3 to every class,

12/3=4!

Answer:

a) 390

b) 239

c) 151

Step-by-step explanation:

a) 30 + 15 + 45 + 300 = 390

b) 160 + 30 + 9 + 40 = 239

c) 390 (income) - 249 (expenses) = 151 pounds (profit)

Answer:

the answer is $16

Step-by-step explanation:

Answer:

here u go the answer is $16

Step-by-step explanation: