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.

Answers

Answer 1

Answer:

A. The third angle measures 30*

B. Two sides have the same length

Answer 2

The statement first “The third angle measures 30°” and statement second “Two sides have the same length.” are correct.

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have:

Triangle with angle measures of 30° and 120°

Third angle measure = 180–30 – 120 = 30 degree

Two angles measures are same, and two sides have the same length.

Thus, the statement first “The third angle measures 30°” and statement second “Two sides have the same length.” are correct.

Learn more about the triangle here:

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Related Questions

What is the yearly salary for the RN working 40 hours
a week? How much more is an RN paid in a year than
an LPN?


Helpppppppppp

Answers

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.

a) Make r the subject of EACH of the following formulae:
© r-h=rh

Answers

r=h/1-h (h/1)



Hope it helps

Patrick can learn 42 blessings in 6 hours. At that rate, how many blessings can he learn in 9 hours?

Answers

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

The tail of a model dinosaur is 8 inches shorter than the rest of its body. The rest of its body is 36 inches long. How long is the dinosaurs tail?

Answers

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!

What is 750 ÷ 12000 pls​

Answers

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.

find the area for all 6 please, will mark brainliest.

Answers

If a person answers right give them brainliest

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

Chromosomes move toward opposite ends of the cell during:
A. Interphase

B. Anaphase

C. Telophase

D. Metaphase

Answers

Answer:

B. Anaphase

Step-by-step explanation:

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

the leg of an obtuse are 10 cm and 9^1/2 . How long is the hypotenuse?​

Answers

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).

Given a polynomial function f(x) = 2x2 – 3x + 5 and an exponential function g(x) = 2x - 5, what key features do f(x) and g(x) have in common?

A. Both f(x) and g(x) have the same domain of (9,-infinity).
B. Both f(x) and g(x) have the same range of [0,-infinity).
C. Both f(x) and g(x) have the same x-intercept of (2,0).
D. Both f(x) and g(x) increase over the interval of (-4, infinity).

Answers

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

What is a function?

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:

Alan swam 8 kilometers against the current in the same amount of time it took him to swim 16 kilometers with the current. The rate of the current was kilometer per hour. How fast would Alan swim if there were no current?

Answers

Answer:

the answer is 96

Step-by-step explanation:

all you have to do is 8 times 12

Pleaseeee HELPPPPPPPP!!!

Answers

Answer:

ok and u have to divide up that have it

Help if you understand please and thanks

Answers

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

I never get help in this app but can someone at least solve this problem ​

Answers

Supplementary angles are angles that add up to 180 degrees. So you have to do 180-75 which equals 105 and then you have to do 105 divided by 5 which equals 21. So x=21

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!

The company makes a single serving cereal box that contains a volume of 1.2 ounces of cereal. They plan to make an extra large box for school cafeterias. The extra large box will be a dilation of the single serving box using a scale factor of 9/2
. How many ounces of cereal will the extra large box contain?

Answers

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

Please help me please please

Answers

I believe this is a translation two units up, a reflection across the y-axis, and a reflection across the x-axis. Hope this is accurate & helpful.

barbara needed 3 1/4 cups of flower for her recipe.if she measured 1/4 cups at a times did she have to fill the measured cup

Answers

Barbara would have had to fill it 13 times

which of the following conditions is not sufficient to prove that a quadrilateral is a parallelogram?
A. Two pairs of side are parallel.
B. Two pairs of opposite sides are congruent.
C. Two consecutive angles are supplementary.
D. Two diagonals bisect each other.​

Answers

Answer: D

Step-by-step explanation:

A counterexample is an isosceles trapezoid.

Which of the fractions below has a numerator of 3? Select all that apply.

A)38


B)23


C)25


D)38


E)312

Answers

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

A 15 ft long cable is connected from a hook to the top of a pole that has an unknown height. The distance from the hook to the base of the pole is 3 ft shorter than the height of the pole.



a. What can you use to find the height of the pole?
b. Write and solve a quadratic equation to find the height of the pole.
c. How far is the hook from the base of the pole?

Answers

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

Find the number of solutions of the equation x2 + 2x + 3 = 0 by using the discriminant.

Answers

Answer:It has no rerealrealr solutions

Step-by-step explanation:

Need help on this one.

Answers

Answer:

The student solved the equation correctly.

Does anyone know the answer to 10 and 11??

Answers

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!

Footware manufacturing is projected to decrease output by 8. 4% from 2006 to 2016. If footware manufacturing had 1. 8 billion dollars of output in 2006, approximately how much output is expected in 2016? a. $1. 95 billion b. $2. 64 billion c. $1. 55 billion d. $1. 65 billion.

Answers

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.

What is Percentage?

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

Find the circumference.

Answers

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

Evaluate the expression when a = -6 and c=7.
C-8a

Answers

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.

4^5 x 4^-7 divided by 4^-2

Answers

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]

Solution:

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.

I"LL GIVE BRAINLEST !!! 25 POINTS !!! PLEASE HELP ITS MY LAST QUESTON!!!
A grocery store received two shipments of watermelon. Each watermelon in a shipment was weighed, then a line plot was made of all of the weights in a shipment What statement about the two plots' distributions is true?

Answers

Answer:

Statement or Option A is correct.

geometry due tonight! any answer will be appreciated

Answers

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.

Find the 91st term of the arithmetic sequence 4, 6, 8,

Answers

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

carla makes 20$ for each lawn she mows. the money she makes depends on the number of lawns she mows. how much will she make if she mows 5 lawns?

Answers

Answer:

100$

Step-by-step explanation:

Each lawn=20$

number of lawn mowed=5

20×5=100$

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