On a piece of paper, use a protractor to construct a triangle with angle measures of 30° and 120°. Which statements about this triangle are true? Select all correct answers. The third angle measures 30°. Two sides have the same length. The third angle measures 75°. The third angle measures 90°. All sides have different lengths.

Percentage is a way to describe a part of a whole. The production of the footwear that will be in 2016 will be 1.65 billion.

A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

It is given that the production of footwear in 2006 was 1.8 billion which will be reduced by 8.4%, therefore, the number of footwear that will be produced in 2016 is 91.6%(100%-8.4%) of the production in 2006. Therefore, the production of footwear in 2016 will be

[tex]91.6\%\ of\ 2006\\\\= 0.916 \times 1.8\ billion \\\\= 1.6488\approx 1.65\ billion[/tex]

Hence, the production of the footwear that will be in 2016 will be 1.65 billion.

Learn more about Percentage:

https://brainly.com/question/6972121

Answer: D

Step-by-step explanation:

A counterexample is an isosceles trapezoid.

Answer:

B. Anaphase

Step-by-step explanation:

There is no possible way to explain this it is also not mathematics it's considered biology

Answer:

1. 45 in²

2. 108 cm²

3. 104 m²

4. 75 in²

5. 1140 ft²

6. 166.5 mm²

Step-by-step explanation:

b=base, h=height

1. Area of triangle = [tex]\frac{1}{2}[/tex] x bh

[tex]\frac{1}{2}[/tex] x 10(9) = 45

2. [tex]\frac{1}{2}[/tex] x 12(18) = 108

3. [tex]\frac{1}{2}[/tex] x 16(13) = 104

4. Area of a trapezoid: [tex]\frac{1}{2}[/tex] x h( length of base 1 +length of base 2)

[tex]\frac{1}{2}[/tex] x 6(10+15) = 75

5. Area of kite = [tex]\frac{1}{2}[/tex] x length of diagonal 1 x length of diagonal 2

diagonal 1 = 5*9 = 45

diagonal 2 = 8*8 = 64

[tex]\frac{1}{2}[/tex] x 45(64) = 1140

6. [tex]\frac{1}{2}[/tex] x 9 (13+24) = 166.5

Answer:It has no rerealrealr solutions

Step-by-step explanation:

Answer:

184

Step-by-step explanation:

Find the common difference first   d = 6 - 4 = 2

first term  a_1  = 4

a_n = (n -1)*d + a_1

a_91 = (91 - 1) * 2 + 4

a_91  is the 91st term:

a_91 = 90*2 + 4

a_91 = 180 + 4 = 184

Answer:

55

Step-by-step explanation:

Given the following question:

[tex]c-8a[/tex]
[tex]c=7[/tex]
[tex]a=-6[/tex]

Substitute and solve by using PEMDAS:

[tex]c-8a[/tex]
[tex]7-8(-6)[/tex]
[tex]8\times-6=-48[/tex]
[tex]7--48[/tex]
[tex]7--48=55[/tex]
[tex]=55[/tex]

Your answer is "55."

Hope this helps.

Answer:

21

Step-by-step explanation:

If the angles are supplementary, that means they add up to 180 degrees.

That means if we subtract 75 from 180, we get 105.

If we divide 105 by 5, we get 21.

That means 21 * 5 + 75 = 180

or

5(21) + 75 = 180

Hope this helps!

Answer:

1

Step-by-step explanation:

y2-y1 divided by x2-x1

12-3 divided by 20-11

which equals to 9/9 which equals to 1

divide 42 by 6 and get 7 so mulyiply 7 by 9

a. What can you use to find the height of the pole?

solution: We can use Pythagoras theorem to find the height of the pole.

b. Write and solve a quadratic equation to find the height of the pole.

solution:

a² + b² = c²

[tex]\sf (x)^2 + (x-3)^2 = 15^2[/tex]

[tex]\sf x^2 + x^2 - 6x + 9 = 15^2[/tex]

[tex]\sf 2x^2 -6x + 9 = 225[/tex]

[tex]\sf 2x^2 -6x -216=0[/tex]

[tex]\sf 2x^2 -24x +18x -216 = 0[/tex]

[tex]\sf 2x(x-12)+18(x-12) = 0[/tex]

[tex]\sf (2x + 18)(x-12) = 0[/tex]

[tex]\sf x = 12, -9[/tex]

[tex]\sf x = 12[/tex]

height of the pole: 12 ft

c. How far is the hook from the base of the pole?

solution: (x-3) → (12-3) → 9

Answer:

8

Step-by-step explanation:

If 8 is added to 3(√9) it is more than 10. If 10 and 3(√9) is added it is more than 8. If 8 is added to 10 it more than 3(√9).

Both f(x) and g(x) have the same range of [0,-infinity).

A function is an expression that shows the relationship between two or more numbers and variables.

Plotting the functions f(x) = 2x² – 3x + 5 and g(x) = 2ˣ - 5:

Both f(x) and g(x) have the same range of [0,-infinity).

Find out more on function at: https://brainly.com/question/25638609

Answer: A. Both f(x) and g(x) have the same domain of (9,-infinity).

Step-by-step explanation:

Answer:

109.35 ounces

Step-by-step explanation:

The scale factor is a linear scale factor.

The box is a three-dimensional solid, so the length, width, and height will be dilated by a factor of 9/2.

The volume factor is (9/2)³ = (4.5)³ = 91.125

The number of ounces is proportional to the volume.

1.2 ounces × 91.125 = 109.35 ounces

Answer:

A and C

Step-by-step explanation:

When you are dividing exponents you subtract. So for this problem -8 - -4 = -8 + 4 = -4. This means that the new exponent would be -4.

When you have a negative exponent, the equation is a fraction. As an example x^-5 would be equal to 1/x^5. For this equation, since you know that the new exponent is -4, an equivalent equation would be 1/3^4.

Hope this helps

Answer:

RN = registered nurse

LPN = licensed practice nurse

RN earns $21.50 per hr

LPN earns $14 per hr

To calculate earnings for a 40 hour working week, multiply the rate per hour by 40:

RN earns:  21.50 × 40 = $860 per week

LPN earns:  14 × 40 = $560 per week

Difference:  860 - 560 = $300

Therefore, an RN is paid $300 more than an LPN for a 40 hour working week.

Number of weeks in a (non leap) year = number of days in a year ÷ 7

                                                               = 365 ÷ 7

                                                               = 52.14285714...

Rounding to the nearest whole number ⇒ 52 weeks in a year

To calculate the yearly salary, multiply the rate per week by 52:

RN earns:  860 × 52 = $44720 per year

LPN earns:  560 × 52 = $29120 per year

Difference:  44720 - 29120 = $15600

OR we can simply multiply the difference between the amount paid for a 40 hour week by 52:

⇒ 300 × 52 = $15600

Therefore, an RN is paid $15600 per year than an LPN.

Answer:

I do!

Step-by-step explanation:

10: It appears to be (6, 4.75)

11: It looks like (-4, -4)

You can desmos graphing calculator to check yourself, if you'd like!

I hope this helps!

Answer:

0.0625.

Step-by-step explanation:

750/12000 as a fraction is 1/16, which is 0.0625.

Answer:

16

Step-by-step explanation:

You could divide 12000 by 16 and 750.

Answer:

671.96 or 214[tex]\pi[/tex]

Step-by-step explanation:

C=2[tex]\pi[/tex]*r

C=2[tex]\pi[/tex]*107

C=2*3.14*107

C=671.96

107*2=214

Answer:

the answer is 96

Step-by-step explanation:

all you have to do is 8 times 12

Answer:

100$

Step-by-step explanation:

Each lawn=20$

number of lawn mowed=5

20×5=100$

Answer:

ok and u have to divide up that have it

Answer:

So to find this answer we would do 36-8= 28 in

Step-by-step explanation:

If the tail is 8 in shorter than the body them that means is subtraction,

Hop this helps!

Answer:

1. D

2. B

3. A

4. C

Step-by-step explanation:

1. The third side can't be calculated with given information

2. This is right triangle so you can use Pythagorean theorem to find hypotenuse.

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2

10 = c = PR

Since PM = RM, you would take half of c to find PM. So PM = 5

3. When writing congruency statement, you have to be careful with orders.

Angle A is congruent to angle E.

Angle B is congruent to angle D

So if A comes first, then E should be written first for the other side (does that make sense?)

4. For SAS, you need 2 congruent sides and 1 congruent angle. But that angle has to be in between two congruent sides.

Step-by-step explanation:

Our expression;

[tex]\frac{4^5\times4^7}{4^-2}[/tex]

Notes;

When exponents multiply, they add.

When exponents divide, they subtract.

Multiply;

[tex]\frac{4^5\times4^7}{4^{-2}}=\frac{4^{-2}}{4^{-2}}[/tex]

Divide;

[tex]\boxed{\frac{4^{-2}}{4^{-2}}=4^0=1}[/tex]

Facts to review:

[tex]\bullet \ \tex\text{Tip 1: If there is a "multiplication" sign, then the exponents will add.} \\\\ \bullet \ \tex\text{Tip 2: If there is a "division" sign, then the exponents will subtract.}\\\\ \bullet \ \ \tex\text{Tip 3: If a number, exponent, fraction, etc. is divided by itself, the result is 1.}[/tex]

Step- by step calculations:

[tex]\bullet\rightarrow (4^{5} \times 4^{-7} ) \div 4^{-2} \\\\ \bullet\rightarrow (4^{5 +(- 7)} ) \div 4^{-2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\tex\text{Tip 1}]\\\\ \bullet\rightarrow (4^{-2} ) \div 4^{-2}\\\\ \bullet\rightarrow \boxed{\bold{1}} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\tex\text{Tip 3}][/tex]

The solution for the given expression is 1.

Answer:

The student solved the equation correctly.

Answer:

Statement or Option A is correct.