please help 13 points

Given:

AD is an angle bisector in triangle ABC. [tex]m\angle CAB=44^\circ, m\angle ACB=72^\circ, m\angle ABC=64^\circ[/tex].

To find:

The value of [tex]m\angle ADC[/tex].

Solution:

AD is an angle bisector in triangle ABC.

[tex]m\angle CAD=m\angle BAD=\dfrac{m\angle CAB}{2}[/tex]

[tex]m\angle CAD=m\angle BAD=\dfrac{44^\circ}{2}[/tex]

[tex]m\angle CAD=m\angle BAD=22^\circ[/tex]

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

Using angle sum property in triangle CAD, we get

[tex]m\angle CAD+m\angle ADC+m\angle ACB=180^\circ[/tex]

[tex]22^\circ+m\angle ADC+72^\circ=180^\circ[/tex]

[tex]m\angle ADC+94^\circ=180^\circ[/tex]

[tex]m\angle ADC=180^\circ-94^\circ[/tex]

[tex]m\angle ADC=86^\circ[/tex]

Therefore, the angle of angle ADC is [tex]86^\circ[/tex].

The percentage reduction in Caroline's earnings if she decides to go ahead with her plan is 30%.

Since Caroline works 8 hours each day for 5 days a week and she's earns £11 per hour. The amount earned for the week is:

= (80 × 5 × £11)

= £440

When she is planning on reducing her working schedule and only work 7 hours each day for 4 days a week. The amount will be:

= (4 × 7 × £11)

= £308

The percentage reduction will be:

= Difference on amount / Old amount × 100

= (440 - 308) /440 × 100

= 132/440 × 100

= 0.3

= 30%

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Caroline works 8 hours each day for 5 days a week. She's earns £11 per hour. Caroline is planning on reducing her working schedule and only work 7 hours each day for 4 days a week work out the percentage reduction in Caroline's earnings if she decides to go ahead with her plan

Answer:

Step-by-step explanation:

[tex]16^{\frac {3}{4}[/tex] = [tex]\sqrt[4]{16^{3}}[/tex]

So, 16 to the power of 3 equals 4096

[tex]\sqrt[4]{4096}[/tex] = [tex]\sqrt[4]{8^{4}}[/tex]

=8

Answer:

standard form: −3x³+5x+6

degree and number of terms.

The degree of a polynomial is the highest degree of its terms. 3

The leading term in a polynomial is the term with the highest degree.

−3x³

The leading coefficient of a polynomial is the coefficient of the leading term. −3

List the results.

Polynomial Degree: 3

Leading Term: −3x³

Leading Coefficient: −3

Step-by-step explanation:

Step-by-step explanation:

I got 47.5 for this, not sure if its right though.

Answer:

7. m=3 b=-4

Equation y=3x-4

8. m=-6/4 b=7

Equation y=-6/4x+7

Step-by-step explanation:

Answer:

7. m=3 b= -4 , Equation y=3x-4

8. m= -6/4 b=7 , Equation y=-6/4x+7

Step-by-step explanation:

look in the chart

Answer:

Answer B.4

Step-by-step explanation:

I hope it's helpful!

Answer:

NM = 13

Step-by-step explanation:

pythagorean theorem: [tex]a^{2} + b^{2} = c^{2}[/tex]

a or NO = 5

b or OM = 12

c or NM = ?

plug in what is known:

⇒ [tex]5^{2} + 12^{2} = c^{2}[/tex]

⇒ [tex]25 + 144 = c^{2}[/tex]

⇒ 169 = [tex]c^{2}[/tex]

square root each side of the equation:

⇒ [tex]\sqrt{169} = \sqrt{c^{2} }[/tex]

solve:

⇒ 13 = c

Answer:

the answer is A

Step-by-step explanation:

hope it helped

Answer:

B. Hunting and gathering.

Step-by-step explanation:

OMG!! We use Canvas 2

Step-by-step explanation:

1. 3 multiplied by x is the same value of 6

2. since 3x is on the left side we have to divide the equation by 3 on both sides which doesn't change the value of x, but it helps us get the value for x. so when you divide the equation by 3 the answer for x=6/2 which 2 divided by 6=3

Hope that helps :)

Answer:

Because 3x2=6

Step-by-step explanation:

Answer:

∠2 = 105°

Step-by-step explanation:

180° -75° = 105°

Answer:

V=2.8cm^3

Step-by-step explanation:

The volume of a pyramid with a square base should be considered as the 2.8 cubic centimeter.

Since

perimeter of the base is 6.9 cm and the height of the pyramid is 2.8 cm.

So, here

we know that

volume of a pyramid = [tex]1/3(length * width * height)[/tex]

And,

perimeter of a square = [tex]4 * length[/tex]

6.9 = 4 x length

So,

length = 1.725

Now the volume is

[tex]= 1/3 * (1.725 * 1.725 * 2.8)[/tex]

= 2.8

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Answer:

I´m pretty sure it´s 2.(-3,6).

Step-by-step explanation:

Answer:

15x^2+5x^3+9

Step-by-step explanation:

(7x^2+8x^2)+5x^3+9

15x^2+5x^3+9

Answer:

25.12

Step-by-step explanation:

c = 2 pi r

d = 8 so r = 4

c = 2 * 3.14 * 4

c = 25.12

Answer:

Step-by-step explanation:

Given

Diameter (d) = 8 yd

radius (r) = d/2 = 8/2 = 4

Now

Area = π * r²

        = 3.14 * 4²

        = 50.24 yd²

Circumference

= π * d

= 3.14 * 8

= 25.12 yd

Answer:

d

Step-by-step explanation:

The answer is C.

Step-by-step explanation:

First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :

Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :

Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :

Answer:

1.What is the theoretical probability that a coin toss results in two heads showing?

33%

2.What is the experimental probability that a coin toss results in two heads showing?

25%

3.What is the theoretical probability that a coin toss results in two tails showing?

33%

4.What is the experimental probability that a coin toss results in two tails showing?

21%

5.What is the theoretical probability that a coin toss results in one head and one tail showing?

33%

6.What is the experimental probability that a coin toss results in one head and one tail showing?

54%

Step-by-step explanation:

Hope this helps, I just finished my assingmnet like this tonight :))

Answer:

she needs $110

Step-by-step explanation:

Just multiply 200 by 0.45 to get 90 then subtract 90 from 200

Answer: ☁️ m = 2/3 ☁️

Hope it helps!~

Explanation: Have a nice day. ￣▽￣❤️

your answer is 7/3 its gonna be 7/3

Answer:

Where is the table

Step-by-step explanation:

Answer:

1.

mean 13.8 / median 14.5

2.

25.86 / 25

3.

14.43 / 15

4.  

4.875 / 4.5

5.

5.78 / 6

6.

34.11 / 34

7.

28.29 / 28

8.

14.43 / 14

Please Giiive Brillianst!!!!!!!!!!!

Step-by-step explanation:

area = pi × r²

= 3.14 × 1 × 1 = 3.14 inch²

Answer:

3.14

Step-by-step explanation:

A=πr2=π·12≈3.14159in²

Answer:

A. The perimeter of the third triangle will be equal to the perimeter of the second triangle because the lengths of line segments are preserved during translations.

Step-by-step explanation:

When a shape is translated, it simply means it is moved. Nothing about it is being changed besides the location. Therefore, it will have the same perimeter because its sides are the exact same.

I hope this helps! ☺

Answer: 2.5 + π is an irrational number.

Step-by-step explanation:

Irrational numbers are numbers that can not be written as the quotient of two integer numbers, and they have an infinite number of digits after the decimal point (such that there is not periodicity in these digits).

So suppose that we have an irrational number and we add 1, then the infinite digits after the decimal point will still be there, so the sum will be also an irrational number.

The same can be seen for the sum between an irrational number and a rational number, where the infinite number of decimals after the decimal point will still be there (because the rational numbers have a finite or infinite but periodical decimals after the decimal point), so the sum between an irrational number and a rational number is always irrational.

In this case, we have the addition:

2.5 + π

Which is the sum of a rational number and an irrational number, so we can conclude that this is an irrational number.

Answer: 47.5

Step-by-step explanation: