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Nataly_w [17]
3 years ago
13

Several students made comments about this image. A triangle has angles B, C, D. The exterior angle to angle B is A. Which commen

t is true? “If I know the measures of A and B, I can subtract those measures from 180 to find the measures of the other two angles.” “If I know the measure of C, I can find the measure of angle A because they are the same.” “If I know the measures of angles C and B, I can find the measures of A and D.” “If I know the measure of angle A, I can find the measure of angle D by subtracting from 180.”

Mathematics
2 answers:
professor190 [17]3 years ago
8 0

A Comment "If i know the measures of angles C and B, I can find the measures of A and D" is TRUE

Explanation :

If we know angles C and B we can find angles A and D as,

As from figure we know

                     A+B = 180°

∴                     A = 180° - B                           ... we know B so we get A

Also,

                   B+C+D = 180°                          ... as BCD is a triangle

∴                           D = 180° - (B+C)              ... we know B and C so we get D    

Lera25 [3.4K]3 years ago
8 0

Answer:

third option

Step-by-step explanation:

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Question 1-3
Vikki [24]

The production graph of the company is a quadratic graph

The true statements about the production graph are:

  • When producing 5,000 sets of headphones per week, the weekly earnings is $0.
  • Producing 2,500 sets of headphones per week will give the maximum amount of weekly earnings.
  • The maximum possible earnings is about $6,250 per week.
  • If production is increased from 1,500 to 2,000 sets of headphones per week, then the weekly earnings will also increase

<h3>How to interpret the model?</h3>

To interpret the model, we simply evaluate the options one after the other

<u>Producing 5000 sets weekly</u>

From the graph, we have:

(x,y) = (5000,0)

This means that a weekly production of 5,000 sets of headphones give an earning of $0.

Hence, this option is true

<u>Increased production from 3000 to 4000</u>

From the graph, the function value decreases when x increases from 3000 to 4000.

This means that this option is false

<u>Producing 2500 sets</u>

The production of 2500 sets give a maximum earning of $6250

This means that options (c) and (d) are true

<u>Increased production from 1500 to 2000</u>

From the graph, the function value increases when x increases from 1500 to 2000.

This means that this option is true

Hence, the true statements are: (a), (c), (d) and (e)

Read more about quadratic graphs at:

brainly.com/question/7988424

3 0
2 years ago
John and Kamira are playing a game. John's score (J) and Kamira's score (K) after round 1 are shown on the number line.
IRINA_888 [86]

Complete question :

John and Kamira are playing a game. John's score (J) and Kamira's score (K) after round 1 are shown on the number line.

The score recorded at the end of the first round is 2.

What could this score represent?

Options :

the sum of John's score and Kamira's score

the difference between John's score and Kamira's score

the absolute value of the difference of John's score and Kamira's score

the sum of the absolute value of John's score and the absolute value of Kamira's score

Answer:

the sum of John's score and Kamira's score

Step-by-step explanation:

Given that :

The score recorded at the end of the round is 2

From the attached number line :

John's score = - 5

Kamira's score = 7

Sum = - 5 + 7 = 2

Difference = - 5 - 7 = - 12

Sum of absolute value = 5 + 7 = 12

absolute value of difference = 12

3 0
3 years ago
Read 2 more answers
What is the inverse and restricted domain of the equation 8x^2-3
kari74 [83]

Answer:  \bold{y=\pm \dfrac{\sqrt{2(x+3)}}{4},\qquad x\neq -3}

<u>Step-by-step explanation:</u>

y = 8x² - 3            (Restriction: none -  x is All Real Numbers)

The inverse is when you swap the x's and y's and then solve for y

x = 8y² - 3            <em>swapped the x and y</em>

x + 3 = 8y²           <em>added 3 to both sides</em>

\dfrac{x+3}{8}=y^2           <em>divided both sides by 8</em>

\sqrt{\dfrac{x+3}{8}}=\sqrt{y^2}           <em>square rooted both sides</em>

\pm \sqrt{\dfrac{x+3}{8}}=y           <em>simplified</em>

\pm \sqrt{\dfrac{x+3}{8}\bigg(\dfrac{2}{2}\bigg)}=y           rationalized the denominator

\pm \sqrt{\dfrac{2(x+3)}{16}}=y           <em>simplified</em>

\pm \dfrac{\sqrt{2(x+3)}}{4}=y           <em>simplified</em>

<u>Restriction:</u>

The radical <em>(inside the square root sign)</em> cannot be negative

→  2(x + 3) ≥ 0

      x + 3 ≥ 0         <em>divided both sides by 2</em>

      x       ≥ -3         <em>subtracted 3 from both sides</em>



4 0
3 years ago
For the given values of n and d, find integers q and r such that n = dq + r and 0 ≤ r &lt; d. n = −67, d = 8
Firlakuza [10]

Answer:

q = 8

r = 3

Step-by-step explanation:

Given

n = dq + r

0 \le r < d

n = 67 --- not -67

d = 8

Required

Find q and r

Substitute values for d and b

n = dq + r

67 = 8 * q + r

67 = 8q + r

Make q the subject

q = \frac{67 - r}{8}

0 \le r < d means that r is less than 8 but greater than or equal to 0

And r and q are integers.

Let r = 3

q = \frac{67 - 3}{8}

q = \frac{64}{8}

q = 8

No other true values of r and q can be gotten.

7 0
3 years ago
A candy jar contains candies of the same size in three flavors: lime, cerry, and licorice. if the probability of randomly pullin
Readme [11.4K]
Since the total probability will be 1, then:

Pulling out a licorice = 1 - 2/8 - 3/8 = 3/8 
8 0
3 years ago
Read 2 more answers
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