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julia-pushkina [17]
2 years ago
11

Select the correct answer from each drop-down menu. B For circle O, m In the figure, 2 C CD T - 125° and m2ABC= 55°. and 2 have

measures equal to 35°.​

Mathematics
1 answer:
Veronika [31]2 years ago
6 0

Answer:

Step-by-step explanation:

The relevant relations here are ...

  • the sum of arc measures in a semicircle is 180°
  • the sum of angles in a triangle is 180°

<h3>Arc measures</h3>

The given arc CD is part of the semicircular arc CDA. The remaining arc, DA, is the supplement of CD:

  arc DA = 180° -CD = 180° -125° = 55°

Central angle AOD has the same measure, 55°. That is one of the acute angles in right triangle AOB, so the other one is the complement of 55°.

 ∠ABO = 90° -∠AOB = 90° -55°

  ∠ABO = 35°

<h3>Triangle angles</h3>

In right triangle ABC, angle ABC is given as 55°. The other acute angle, ACB, will be the complement of this.

  ∠ACB = 90° -∠ABC = 90° -55°

  ∠ACB = 35°

In the figure, angles ABO and ACB have measures of 35°.

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Stephanie grew a total of 70 pounds of tomatoes to sell. She plans to sell the tomatoes for $3.50 per pound. The equation below
Alexxandr [17]

Answer:

If Stephanie sold the 70 pounds of tomatoes, her profit would be 135 dollars.

Step-by-step explanation:

You know that the equation f(x) = 3.50*x - 110 represents the profit in dollars Stephanie will earn by selling x pounds of the tomatoes.

If Stephanie sold the 70 pounds of tomatoes, you want to know what the profit would be. So to calculate the profit you simply replace in f (x), the x pounds of tomatoes by 70.

f(70)=3.50*70 - 110

Solving:

f(70)= 245 - 110

f(70)= 135

<u><em>If Stephanie sold the 70 pounds of tomatoes, her profit would be 135 dollars.</em></u>

5 0
3 years ago
What is the equation of the line that passes<br> through the point (3, 4) and has a slope of -2/3
Rina8888 [55]

Answer:

y=-2/3x+6

Step-by-step explanation:

y-y1=m(x-x1)

y-4=-2/3(x-3)

y=-2/3x+6/3+4

y=-2/3x+2+4

y=-2/3x+6

6 0
2 years ago
Harry is one third as old as his father. If his father is x 12 years old, how old is Harry? StartFraction x over 3 EndFraction 4
Mama L [17]

The age of the Harry in the terms of variable <em>x, </em>as the age of his father is (x+4) is represent with following equation.

\sqrt{3}x+4

<h3>How to write algebraic expression? </h3>

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Harry is one third as old as his father and his father is x+12 years old.To find the age of Harry, we need to convert the given statement into the algebraic expression.

Suppose the age of the Harry is <em>a</em> years and the age of his father is<em> b</em> years. Now Harry is one third as old as his father, thus

a=\dfrac{1}{3}b

Let the above equation is equation one.

As the father of Harry is x+12 years old. Thus put the value of age of his father in the equation one as,

a=\dfrac{1}{3}(x+12)\\a=\sqrt{3}x+4

The age of the Harry in the terms of variable <em>x, </em>as the age of his father is (x+4) is represent with following equation.

\sqrt{3}x+4\sqrt{3}x+4

Learn more about the algebraic expression here;

brainly.com/question/2164351

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Answer:

2x^3+10x^2+x+5

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