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Yanka [14]
2 years ago
11

The Sum of The Angles in a Triangle please help

Mathematics
1 answer:
padilas [110]2 years ago
7 0

Answer:The measure of angle C is 50°

Step-by-step explanation:

The sum of all inside angles must add up to 180°

80+50=130

130+C

C=50

130+50=180

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2. Mark has scored 12, 14, 10, 8, and 5 points in the past 5 basketball games. Write and solve the inequality that
marusya05 [52]

Answer:

  Mark must score at least 11 points to have an average of 10 points per game.

Step-by-step explanation:

The average of a set of data is its sum, divided by the number of data points in the set. If p is the number of points Mark scores in his next game, and he wants his average at least 10, then the relation is ...

  (12 +14 +10 +8 +5 +p)/6 ≥ 10

  49 +p ≥ 60 . . . . . . . . . multiply by 6 and simplify

  p ≥ 11 . . . . . . . . . . . subtract 49

Mark must score at least 11 points in the next game to average at least 10 points per game.

_____

<em>Additional comment</em>

Sometimes, it is convenient to work with the average directly. Relative to the average Mark wants (10), his scores so far are +2, +4, 0, -2, -5, for a total of -1. In order to bring the average to the value Mark wants, he must bring this total to 0 or higher. That is, he must score at least 10+1 = 11 points in his next game.

5 0
2 years ago
The two triangles are similar what is the value of x? <br> x=___
Dennis_Churaev [7]

Answer:

5

Step-by-step explanation:

What we have to know is that when two triangles are similar their sides will always be proportional. So we will create a proportion that goes like this...\frac{\Delta1side}{\Delta1base} =\frac{\Delta2side}{\Delta2base} but since it doesn't tell us the exact value of triangle 1. We will have to add 3 and 12 to get 15 which is the base of the first triangle. Now we're ready to write the proportion.

\frac{4x}{15}=\frac{3x+1}{12}

Now we cross multiply and solve the equation...

48x=15(3x+1)\\48x=45x+15\\3x=15\\x=5

So the value of x is 5.

7 0
2 years ago
3. State banking officials claim that the probability that a person in Newberg has a checking account
Fiesta28 [93]

Answer:

Step-by-step explanation:

g

3 0
2 years ago
Please help me Algebra Graph!​
Luba_88 [7]
There is no attachment to your phone question. I look forward to answer your question.
3 0
3 years ago
Story Problems
Gnom [1K]
Problem 3: Let x = price of bag of pretzels Let y = price of box of granola bars  
We have Lesley's purchase: 4x+2y=13.50
 And Landon's: 1x+5y=17.55 
 We can use the elimination method. Let's negate Landon's purchase by multiplying by -1. -1x-5y=-17.55 
 We add this four times to Lesley's purchase to eliminate the x variable.
 2y-20y=13.50-70.2
 -18y=-56.7
 y = $3.15 = Price of box of granola bars
 
 Plug back into Landon's purchase to solve for pretzels.
 x+5*3.15=17.55
 x+15.75=17.55
 x = $1.80 = price of bag of pretzels
  
 Problem 4.
 Let w = number of wood bats sold
 Let m = number of metal bats sold
 
 From sales information we have: w + m = 23
 24w+30m=606 
 Substitution works well here. Solve for w in the first equation, w = 23 - m, and plug this into the second. 
 24*(23-m)+30m=606
 552-24m+30m=606
 6m=54
 m=9 = number of metal bats sold
 Therefore since w = 23-m, w = 23-9 = 14. 14 wooden bats were sold.


6 0
3 years ago
Read 2 more answers
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