Use the diagram below to find the following measures. GN is the angle bisector of ∠MGO.

Use The Diagram Below To Find The Following Measures. GN Is The Angle Bisector Of MGO.

Answers

Answer 1

Answer:

∠MGN = 24°

∠NGO = 24°

Step-by-step explanation:

What is an angle bisector?

An angle bisector is a line, segment, or ray that splits an angle in halfEach halve of the angle is equal to each other

Thus, ∠MGN ≅ ∠NGO.

To solve for ∠MGN and ∠NGO, we need to:

Create an equation about their relationshipSolve for "x"Substitute "x" back into the equations to find the angle measures

1. Create an equation about their relationship:

If ∠MGN ≅ ∠NGO, then...

[tex]5x-6 = 11x -42[/tex]

2. Solve for "x":

[tex]5x - 6 = 11x -42[/tex]

[tex]42 - 6 = 11x - 5x[/tex]

[tex]36 = 6x[/tex]

[tex]6 = x[/tex]

3. Substitute "x" back into the equations to find the angle measures:

[tex]< MGN = 5x - 6[/tex]

[tex]< MGN = 5(6) - 6[/tex]

[tex]< MGN = 30 - 6[/tex]

[tex]< MGN = 24[/tex]

❗❗❗At this point, you could write that ∠MGN and ∠NGO = 24°, as they are congruent, but you should still substitute "x" into  ∠NGO to make sure "x" is correct.❗❗❗

[tex]< NGO = 11x - 42[/tex]

[tex]< NGO = 11(6) - 42[/tex]

[tex]< NGO = 66 - 42[/tex]

[tex]< NGO = 24[/tex]

∴ ∠MGN = 24°

∴ ∠NGO = 24°


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No solution

because delta ( b^2 - 4ac ) is lower than 0(zero) .

What is the scale factor from Figure A to Figure B?

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The scale factor equals 4. I just divided 72 and 18 and got that. You can do that with each side and you’d still get 4. :)

Which expression is not a polynomial?

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12 is not a polynomial

42. Use the Quadratic Equation to find the Roots of x2 + 3x - 3=0

Answers

Answer:

Step-by-step explanation:

The coefficients of the x terms are {1, 3, -3}, so the discriminant, b^2 - 4ac, is 3^2 - 4(1)(-3), or 9 + 12, or 21.  The positive nature of the discriminant tells us that there are two real, unequal roots.  Following the quadratic formula, we get:

       -3 ± √21

x = -----------------

              2

⚠️ ⚠️ ⚠️ PLEASE HELP ASAP!! THIS IS LATE! :(



Which answer best summarizes the state's responsibilities to the national government under the Articles of Confederation?


A. States had to pay taxes set by Congress and provide soldiers during war time.


B. States had to provide representatives to Congress but soldiers were sent only to state militaries.


C. States sent representatives to Congress and provided soldiers and some officers to protect the country.


D. States provided money in the form of taxes, sent representatives to Congress, and had to supply soldiers during war.

Answers

Answer:

i think the answer would be b

Step-by-step explanation:

sorry if i am wrong

A quantity with an initial value of 980 decays exponentially at a rate of 0.3% every 6 decades. What is the value of the quantity after 49 decades, to the nearest
hundredth?

Answers

Answer:

956.73

Step-by-step explanation:

0.3% = 0.003

1-0.003 = 0.997

49/6 = 8 r1 (use 8 because decay is not continuous)

0.997^8 = 0.97625...

0.97625... x 980 ≈ 956.73

Answer: 956.25

Step-by-step explanation:

Find the value of x.

Answers

Answer: x =42°

The angles are equal

Please help me out with this

Answers

Answer:

Step-by-step explanation:

surface area = 3^2 : 11^2

volume = 3^3 : 11^3

width  = 3: 11

hmm I'm not sure what you can enter into the text boxes.. if it won't let you put in the exponentials just use your calculator to put in the number that they equal.   But I like the exponential form better.  

Help this is due in 2 minutes

Answers

First, convert R as a percent to r as a decimal

r = R/100

r = 8.4/100

r = 0.084 rate per year,

Then solve the equation for A

[tex] A = P(1 + \frac{r} {n})^{nt} \\\\ A = 10,000.00(1 + \frac{0.084}{12})^{(12)(30)} \\\\ A = 10,000.00(1 + 0.007)^{(360)} \\\\ A = \$ 123,199.63[/tex]

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $10,000.00 at a rate of 8.4% per year compounded 12 times per year over 30 years is $123,199.63.

A triangular pyramid is formed from three right triangles as shown below.
Use the information given in the figure to find the length BD.
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.

Answers

ΔADC is a right angle triangle, we will use the Pythagorus Theorem to find the length CD.

Formula of the Pythagorus Theorem :  

⇒ a² + b² = c²

⇒ AD² + CD² = AC²

The value of AD is 54 and the value of AC is 90:

54² + CD² = 90²

Solve for CD:

54² + CD² = 90²

CD² = 90² - 54²

CD² = 5184

CD = √5184

CD = 72

ΔADC is also a right angle triangle, we will use the Pythagorus Theorem to find the length BD.

Formula of the Pythagorus Theorem :  

⇒ a² + b² = c²

⇒ BD² + CD² = BC²

The value of CD is 72 and the value of BC is 97:

BD² + 72² = 97²

Solve for BD:

BD² = 97² - 72²

BD² = 4225

BD = √4225

BD = 65

Answer: The length of BD is 65 units.

You are saving money for a summer camp that costs $1800. You have saved $500 so far, and you have 14 more weeks to save the total amount. What are the possible average amounts of money that you can save per week in order to have a total of at least $1800 saved?

Answers

Answer:

$92.86

Step-by-step explanation:

Since it's AT LEAST 1800, the inequality sign would be ≥ 1800

Equation:

500 + 14x ≥ 1800

14x ≥ 1800 - 500

14x ≥ 1300

x ≥ 92.86

HELP FAST I'LL MARK YOU BRAINLIEST

Which below is not always true about a Rhombus?
1. All side are equal
2. Opposite sides are equal and congruent
3. Consecutive angles are supplementary
4. Diagonals are congruent

Answers

Answer:

#4 is not always true, only when it's a square.

I want to say the answer is number 3, consecutive angles are supplementary

Dwayne is having a birthday party with a total of 37 people (including himself). He needs to buy enough cases of soda to have 2 cans for each person. If a case of
soda contains 12 cans, how many cases will he need to buy?

Answers

Answer:

I do not know

Step-by-step explanation:

What is the geometric mean of 6 and 8?

Answers

Answer:

16 square root 6

Step-by-step explanation:

The geometric mean of 6 and 8 is [tex]4\sqrt{3}[/tex]

What is geometric mean?

The geometric mean of two numbers [tex]x_1[/tex] and [tex]x_2[/tex] is given by the formula:

[tex]GM = \sqrt{x_1 \times \ x_2}[/tex]

The two given numbers are 6 and 8

That is, [tex]x_1=6[/tex] and [tex]x_2=8[/tex]

Substitute  [tex]x_1=6[/tex] and [tex]x_2=8[/tex] into the formula [tex]GM = \sqrt{x_1 \times \ x_2}[/tex]

[tex]GM=\sqrt{6 \times 8}[/tex]

Simplifying further:

[tex]GM=\sqrt{48} \\\\GM=4\sqrt{3}[/tex]

Therefore, the geometric mean of 6 and 8 is [tex]4\sqrt{3}[/tex]

Learn more on geometric mean here: https://brainly.com/question/1311687

348.562 in expanded form:

Answers

Answer:

300 plus 40 plus 8 plus 0.5 plus 0.06 plus 0.002

Please, nobody answered it!!! :C

Answers

Answer:

C. 59

Step-by-step explanation:

Hello There!

Remember the angles in a triangle add up to equal 180

So if we want to find a missing angle we subtract the given angles ( in this case 65 and 56) from 180

So missing angle = 180 - 65 - 56

180 - 65 = 115

115 - 56 = 59

So we can conclude that the missing angle has a measure of 59 degrees

Answer:

C: 59

Step-by-step explanation: His explanation is correct, I did it myself.

Please help pleaseeee I really need answers only

Answers

☁️ Answer ☁️

5. IS E (none of these)

Because I got:

-125y^5/162x

6. X = 5/3

Hope it helps.

Have a nice day noona/hyung.

Answer:

5. C. (250xy⁴)/2436. C. x = 5/3

A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A secod prism has a square base with a side of 15. If the volumd of the two prisms are equal, what is the height of the second prism?​

Answers

Answer:

6cm

Step-by-step explanation:

correct for 100 points i swear

James wants to cover a floor measuring 90 cm by 120 cm with square tiles of the same size.
Given that he uses only whole tiles, find the largest possible length of the side of each tile​

Answers

Answer:

30cm

Step-by-step explanation:

Find L.C.M of 90 and 120

14
km
Find the area of the triangle.
A)
52 km2
B)
84 km2
C)
168 km2
D)
336 km2

Answers

Answer:

its D

336 km2

Step-by-step explanation:

QUADRATIC EQUATIONS HELP

Answers

Answer:

[tex](x-12)^2[/tex] & [tex] 144[/tex]

Step-by-step explanation:

The Equation given to us is ,

[tex]\implies x^2 -24x + \cdots [/tex]

Here we need to find the value of the blank such that it is a perfect square.

This can be in the form of ,

[tex]\implies (a-b)^2 = a^2+b^2-2ab [/tex]

On looking at equation ,

[tex]\implies x^2 -2(12)x + \cdots [/tex]

For the whole equation to be whole square , the number that should replace the blank is 12² .

[tex]\implies x^2 -2(12)x + 12^2\\\\\implies (x-12)^2[/tex]

Therefore 144 should be added .

10. Mason earns $10 for each lawn he mows. How much will he earn if he mows 6 lawns?
A. Write and solve an equation to solve the problem. Show your
work.

Answers

$10.00 x 6 =
$60.00
I’m not sure how to show any more work than that. It’s just 10 times 6..

Answer:

60

Step-by-step explanation:

just multiply 10 by 6 why is this in highschool math though.


The area of a rectangle is equal to its length times its width. If the area of a rectangle
is 14x + 42 square feet, which option(s) could be the length and width of that rectangle?

Answers

Answer:

d

Step-by-step explanation:

find the surface area of the pyramid​

Answers

Answer:

864cm squared

Step-by-step explanation:

The base is 16 x 16

The 4 lateral faces (Triangles) are [(19 x 16) / 2 ] x 4}

Jason and Pam recently bought a house. They financed the house with a $250,000, 30-year mortgage with a nominal interest rate of 77% compounded monthly. Mortgage payments are made at the end of each month. What would be their house payment?

Answers

Answer:

Annual payument (PMT)= $1,663.19

Step-by-step explanation:

Giving the following information:

Loan (PV)= $250,000

Monthly interest rate (i)= 0.07/12= 0.005833

Number of periods (n)= 12*30= 360 months

To calculate the monthly payment, we need to use the following formula:

Annual payument (PMT)= (PV*i) / [1 - (1+i)^(-n)]

Annual payument (PMT)= (250,000*0.005833) / [1 - (1.005833^-360)]

Annual payument (PMT)= $1,663.19

What Is the difference between the number of students who earned a score 90 or greater In class 2 and the number of students who earned a 90 or greater in class 1​

Answers

Answer:

1

Step-by-step explanation:

1/2 of 12 students scored a 90 or above in class 2, which is 6

1/4 of 20 students scored a 90 or above in class 2, which is 5

6 - 5 = 1

A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and three
loaves of bread for $11.67. Ronda buys eight cans of soup and one loaf of bread for $12.89.
Homework Help!
a. Write equations for both Khalil's and Ronda's purchases.
b. Solve the system to find the price of one can of soup and the price of one loaf of bread.

Answers

Answer:

a) For Khalil's purchase

4x + 3y = 11.67.....Equation 1

For Ronda's purchase

8x + y = 12.89......Equation 2

b) A can of soup = x = $2.09

Loaf of bread = y = $1.35

Step-by-step explanation:

A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and three

loaves of bread for $11.67. Ronda buys eight cans of soup and one loaf of bread for $12.89.

Homework Help!

Let us represent:

a can of soup = x

Loaf of bread = y

a. Write equations for both Khalil's and Ronda's purchases.

For Khalil's purchase

= Khalil buys four cans of soup and three loaves of bread for $11.67.

4x + 3y = 11.67.....Equation 1

Ronda buys eight cans of soup and one loaf of bread for $12.89.

8x + y = 12.89......Equation 2

b. Solve the system to find the price of one can of soup and the price of one loaf of bread.

We have:

4x + 3y = 11.67.....Equation 1

8x + y = 12.89......Equation 2

y = 12.89 - 8x

We substitute 12.89 - 8x for y in Equation 1

4x + 3(12.89 - 8x) = 11.67

4x + 38.67 - 24x = 11.67

38.67 - 11.67 = 24x - 4x

27 = 20x

x = 27/20

x = 1.35

y = 12.89 - 8x

y = 12.89 - 8 × 1.35

y = 12.89 - 10.8

y = 2.09

Therefore,

Solving for y

a can of soup = x = $2.09

Loaf of bread = y = $1.35

Can someone please help me with math.

Answers

Answer:

B

Step-by-step explanation:

The solution to a system of equation is when two lines pass and intersect ona specific point. Here we are looking for (0,1).

we can see b intersects on (0,1) so that is out answer.

7) The ratio of lipsticks to eye shadow in my makeup bag is 1:9. The ratio of eye shadow to mascara is 3:2. Given that I have 3 more eye shadows than mascaras, how many lipsticks do I have?

Answers

Answer:

1

Step-by-step explanation:

If you have 1 lipstick, then you have 9 eye shadows, at the same time, if you have 3 eye shadows, you have 2 mascaras. Since it's stated from the first part that you have 9 eye shadows, then going by the ratio, you must have 6 mascaras.

Final part says if there are 3 more eye shadows than mascaras, how many lipsticks have you.

This is quite straightforward, because from the relation I've established up ahead, we have 9 eye shadows and 6 mascaras. And 9 is 3 more than 6. Essentially, this means that the number of lipsticks will remain 1

identify the equation whose graph is a vertical line.

a) y=x/3-1

b) y=0

c) x=0​

Answers

I’m guessing b I might be wrong
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