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If m 2 - 98°, m 3 - 23 and m 8 - 70°, find the measure of each missing angle.

Answers

Answer 1
Answer:

Here, we are required to find the value of the other angles in the diagram attached to this answer sheet.

The value of the angles are;

  • m∠1 = 82°
  • m∠2 = 98°
  • m∠3 = 23°
  • m∠4 = 59°
  • m∠5 = 121°
  • m∠6 = 51°
  • m∠7 = 59°
  • m∠8 = 70°
  • m∠9 = 51°
  • m∠10 = 129°

The understanding of the triangle theorem and line theorems is very important to resolve this.

  • The sum of angles in a triangle = 180⁰.
  • The sum of angles on a straight line = 180⁰
  • Alternate angles are equal.

m∠1 + m∠2 = 180°(Theorem:sum of angles on a straight line =180⁰)

m∠1 + 98 = 180

m∠1 = 180 - 98

  • m∠1 = 82°

m∠2 + m∠3 + m∠7 = 180° (Theorem=sum ofangles in a triangle = 180⁰)

98 + 23 + m∠7 = 180

m∠7 + 121 = 180

m∠7 = 180 - 121

  • m∠7 = 59°

m∠4 = m∠7 (Theorem = alternate angles are equal)

  • m∠4 = 59°

m∠6 + m∠7 + m∠8 = 180° (Theorem = sum of angles on a straight line = 180)

m∠6 + 59 + 70 = 180

m∠6 + 129 = 180

m∠6 = 180 - 129

  • m∠6 = 51°

m∠4 + m∠8 + m∠9 = 180° (Theorem = sum of angles in a triangle = 180)

59 + 70 + m∠9 = 180

m∠9 + 129 = 180

m∠9 = 180 - 129

  • m∠9 = 51°

m∠4 + m∠5 = 180° (Theorem = sum of angles on a straight line = 180)

m∠5 + 59 = 180

m∠5 = 180 - 59

  • m∠5 = 121°

m∠10 + m∠9 = 180° (Theorem = sum of angles on a straight line = 180⁰)

m∠10 + 51 = 180

m∠10 = 180 - 51

  • m∠10 = 129°

Read more:

brainly.com/question/20563816
Answer 2
Answer:

Answer:

The answer is below

Step-by-step explanation:

The complete question is given in the image attached below

m∠1 + m∠2 = 180° (sum of angles on a straight line)

m∠1 + 98 = 180

m∠1 = 180 - 98

m∠1 = 82°

m∠2 + m∠3 + m∠7 = 180° (sum of angles in a triangle)

98 + 23 + m∠7 = 180

m∠7 + 121 = 180

m∠7 = 180 - 121

m∠7 = 59°

m∠4 = m∠7 (alternate angles)

m∠4 = 59°

m∠6 + m∠7 + m∠8 = 180° (sum of angles on a straight line)

m∠6 + 59 + 70 = 180

m∠6 + 129 = 180

m∠6 = 180 - 129

m∠6 = 51°

m∠4 + m∠8 + m∠9 = 180° (sum of angles in a triangle)

59 + 70 + m∠9 = 180

m∠9 + 129 = 180

m∠9 = 180 - 129

m∠9 = 51°

m∠4 + m∠5 = 180° (sum of angles on a straight line)

m∠5 + 59 = 180

m∠5 = 180 - 59

m∠5 = 121°

m∠10 + m∠9 = 180° (sum of angles on a straight line)

m∠10 + 51 = 180

m∠10 = 180 - 51

m∠10 = 129°

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4
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Answers

If you are looking for what it is multiplied by it is 6. But for the number 4 it is 24 because 6 times 4 is 24

Answer:

The answer would be 24$

Step-by-step explanation:

If the relationship is proportional then it would be equal so if were adding 12 plus a number (which is 6) adds up which is 12 plus 6 = 18 plus 6 is our answer 24 then plus 6 is 30 as you can see we were adding by six proportionally and so the answer was 24

Which is a y-intercept of the continuous function in thetable?
0 (0-6)
O (-2, 0)
O (-6.0)
(0, -2)

Answers

Answer:a

Step-by-step explanation: bc

Answer:

a

Step-by-step explanation:

I’m fairly sure it’s increasing, I just can’t tell by how much

Answers

The rate of change is given as

\text{rate}=(48400-46680)/(550-530)

which gives

\begin{gathered} \text{rate}=(1720)/(20) \n \text{rate}=86 \end{gathered}

Since the result is positive, the answer is the costs are increasing at a rate of $86 per item

In a large Introductory Statistics lecture hall, the professor reports that 55% of the students enrolled have never taken a Calculus course, 32% have taken only one semester of Calculus, and the rest have taken two or more semesters of Calculus. The professor randomly assigns students to groups of three to work on a project for the course. What is the probability that the first groupmate you meet has studied a) two or more semesters of Calculus?
b) some Calculus?
c) no more than one semester of Calculus?

Answers

Answer:

a) There is a 13% probability that a student has taken 2 or more semesters of Calculus.

b) 45% probability that a student has taken some calculus.

c) 87% probability that a student has taken no more than one semester of calculus.

Step-by-step explanation:

We have these following probabilities:

A 55% that a student hast never taken a Calculus course.

A 32% probability that a student has taken one semester of a Calculus course.

A 100-(55+32) = 13% probability that a student has taken 2 or more semesters of Calculus.

a) two or more semesters of Calculus?

There is a 13% probability that a student has taken 2 or more semesters of Calculus.

b) some Calculus?

At least one semester.

So there is a 32+13 = 45% probability that a student has taken some calculus.

c) no more than one semester of Calculus?

At most one semester.

So 55+32 = 87% probability that a student has taken no more than one semester of calculus.

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

Robert wants to try some new chocolate chip cookie recipes. His current recipe calls for three and a half cups of flour for every bag of chocolate chips. He wants to determine which recipes require more or less flour than his current recipe. Sort the items into the diagram below.

Answers

Final answer:

To find out which recipes use more or less flour than Robert's current recipe, compare the quantity of flour needed per bag of chocolate chips in the new recipes to the 3.5 cups of flour needed in his current recipe.

Explanation:

In response to Robert's request, we would compare the amount of flour used in his current recipe to that used in other recipes. Since Robert's present recipe demands 3.5 cups of flour for each bag of chocolate chips, we would then have a baseline to compare with other recipes.

For instance, if a new recipe requires 4 cups of flour for a bag of chocolate chips, it means this recipe takes more flour. Conversely, if the recipe takes 3 or 2.5 cups for the same amount of chocolate chips, it uses less flour.

Overall, the process involves measuring the amount of flour that each new recipe requires and comparing it to the 3.5 cups in Robert's current recipe.

Therefore, to find out which recipes use more or less flour than Robert's current recipe, compare the quantity of flour needed per bag of chocolate chips in the new recipes to the 3.5 cups of flour needed in his current recipe.

Learn more about Recipe Comparison here:

brainly.com/question/10732805

#SPJ3

Answer:

Step-by-step explanation:

so first u need to add all the numbers

-Bertha

Trisha Long wants to buy a boat in five years. She estimates the boat will cost $15,000 at that time. What must Trisha deposit today in an account earning 5% annually to have enough to buy the boat in five years?

Answers

We use the formula for compound growth to figure this problem out. Formula is:

P=P_(0)(1+(r)/(n))^(nt)

Where,

  • P is the future value
  • P_(0) is the initial deposite
  • r is the rate of interest annually
  • n is the number of times compounding occurs (n=1 for annual compounding, n=2 for semiannual compounding etc.)
  • t is time

Given P=15,000, r=5%=0.05 (in decimal), n=1 (since annual compounding), and t=5 years, we can solve:

15000=P_(0)(1+(0.05)/(1) )^((1)(5))\n15000=P_(0)(1+0.05)^(5)\nP_(0)=(15000)/((1+0.05)^(5))\nP_(0)=(15000)/(1.05^(5))\nP_(0)=11,752.89

So, Trisha Long needs to deposit $11,752.89 today in the account.


ANSWER: $11,752.89
\bf \qquad \textit{Compound Interest Earned Amount}\n\nA=P\left(1+(r)/(n)\right)^(nt)\qquad \begin{cases}A=\textit{compounded amount}\to &15000\nP=\textit{original amount deposited}\nr=rate\to 5\%\to (5)/(100)\to &0.05\nn=\begin{array}{llll}\textit{times it compounds per year}\n\textit{annually means, once}\end{array}\to &1\nt=years\to &5\end{cases}

solve for "P", to see how much Principal she should deposit today
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