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8_murik_8 [283]
3 years ago
14

Can someone help me with how to do this. Please show work and don't just put the answer! Thanks

Mathematics
1 answer:
USPshnik [31]3 years ago
4 0

Answer:

<h2>The answer is 114°</h2>

Step-by-step explanation:

Let the exterior angle be B

To find the exterior angle we must first find the value of x using one the angle property of triangles which is

the sum of any two interior angles in the triangle is equal to an exterior angle of the triangle.

To find x, add up the two given interior angles and equate to the exterior angle

We have

3x + 6 = 24 + 2x + 18

3x + 6 = 2x + 42

3x - 2x = 42 - 6

x = 36

From the question

B = (3x + 6)°

B = 3(36) + 6 = 108 + 6

We have the final answer as

<h3>114°</h3>

Hope this helps you

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Prudence has 12 pairs of gold earrings and 12 pairs of silver earrings in a drawer in her jewelry box. If she randomly pulls six
algol13

Answer:

(D) 3

Step-by-step explanation:

Prudence has 12 pairs of gold earrings and 12 pairs of silver earrings.

Total Number of Earrings =12+12=24

Relative Frequency of Picking a Gold Earrings =12/24= 0.5

If she randomly pulls six pairs of earrings out of the drawer to take with her on a trip

Number of Possible Outcome =Relative Frequency X Number of Trials

=0.5 X 6

=3

She would most likely take 3 gold earrings.

7 0
3 years ago
A 5 person sports team has an average 40 yard dash time of 5. 7 seconds. When a 6th player is added to the team, the new mean is
DanielleElmas [232]

The new player's personal time  is 4.5 seconds.

<h3>What is the new player's personal time?</h3>

The first step is to determine the total time the 5 persons complete the dash.

Total time = 5 x 5.7 = 28.5 seconds

The second step is to determine the total time for the 6 people to complete the dash.

Total time = 6 x 5.5 = 33 seconds

The third step is to find the difference of the time in the previous two steps: 33 - 28.5 = 4.5 seconds

To learn more about mean, please check: brainly.com/question/25842202

6 0
2 years ago
Consider the equation |1/4+12|=x/2.Without calculating, how do you know x=-16 is an extraneous solution?
telo118 [61]

Without calculating, you can immediately see the absolute value sign, which implies that the final result (x) should be positive, not negative.  

5 0
3 years ago
Jarred sells DVDs. His inventory shows that he has a total of 3,500 DVDs. He has 2,342 more contemporary titles than classic tit
GaryK [48]
Answer: x = 2921, y = 579

Step-by-Step Explanation:

I am assuming that we just have to Solve for ‘x’ and ‘y’.

‘x’ = No. Of Contemporary Titles
‘y’ = No. Of Classic Titles

=> x + y = 3500 (Eq. 1)
=> x - y = 2342 (Eq. 2)

Adding Eq. 1 and Eq. 2, we get :-

2x = 3500 + 2342
2x = 5842
x = 5842/2
=> x = 2921

Therefore, x = 2921

Substitute value of ‘x’ in Eq. 1 :-

x + y = 3500
(2921) + y = 3500
y = 3500 - 2921
=> y = 579

Therefore, y = 579

Hence,
No. Of Contemporary Titles = 2921
No. Of Classic Titles = 579
6 0
1 year ago
Which two points on the number line represent numbers that can be combined to make zero? A B C D -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1
maria [59]

Answer:  B and D

Step-by-step explanation:

B=-2

D=2

The negative and positive signs cancel out, leaving you with zero.

Ex: you take two steps back, but then you take two steps forward so you're back where you started (0).

8 0
3 years ago
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