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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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The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $9 each and will sell 500
ryzh [129]

Answer:

-$2.32

Step-by-step explanation:

Give that

The selling price per ticket is $9

And the number of tickets sold is 500

So,

There is one grand prize, three $300 second prize, and eleven $40 third prizes

We need to find out the expected value of the profit

= \frac{1}{500} \times 2000 +  \frac{3}{500} \times 300 + \frac{11}{500} \times 40\\\\

= 4 + 1.8 + 0.88

= 6.68

Now the expected profit is

= $6.68 - $9

= -$2.32

6 0
2 years ago
Write an equation that expresses the following relationship. p varies jointly with the square of d and the cube of u In your equ
Veronika [31]

Answer:

p= kd^{2}u^{3}

Step-by-step explanation:

Using k as the constant of proportionality.

The expression that expresses the relationship : p varies jointly with the square of d and the cube of u.

Varies jointly means that p will change as 'd' and 'u' will change together with respect to their powers.

We get the expression as:

p= kd^{2}u^{3}

5 0
3 years ago
Ricardo took the following steps to simplify the expression below but was surprised to hear that his answer was incorrect. Which
Xelga [282]

You have not given us any of the steps that Ricardo took to simplify the
expression, and you also haven't given us the list of choices that includes
the description of his mistake, so you're batting O for two so far. 
Other than those minor details, the question is intriguing, and it certainly
draws me in.

If Ricardo made a mistake in simplifying that expression, I'm going to say that
it was most likely in the process of removing the parentheses in the middle. 

Now you understand that this is all guess-work, because of all the stuff that you
left out when you copied the question, but I think he probably forgot that the  3x 
operates on everything inside the parentheses.

He probably wrote that  3x (x-3)  is

either    3x² - 3
     or       x - 9x .

In reality, when properly simplified,

       3x (x - 3)  =  3x² - 9x .


3 0
3 years ago
Are all quadrilaterals either rectangles or squares?
Greeley [361]

No, there are lots of quadrilaterals. <span>Examples of other quadrilaterals are rhombus, kite, trapezoid, parallelogram etc</span>

5 0
3 years ago
Given that 1 kilogram weighs approximately 22 pounds, rewrite 10 pounds as an equivalent number of kilograms
yaroslaw [1]

Answer:

0.4545 kgs.

Step-by-step explanation:

Given that 1 kg weighs approximately 22 pounds.

i.e. 1kg= 22 lbs.

We can use this to convert lbs into kg.

22 lbs = 1 kg

Hence 1 lb = 1/22 = 0.04545 kg

Now to find out the equivalent weight for 10lbs,

we have conversion factor as 1 lb= 0.04545 kg

Hence 10 lbs = 10(0.04545) = 0.4545 kgs

Hence 10 pounds written in equivalent kgs would be0.4545 kgs.

4 0
3 years ago
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