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34kurt
3 years ago
8

The measure of the 3 angles in a triangle are (4x) degrees,(3x-3) degrees, and (5x+3)degrees. Please write an equation, solve fo

r x, and determine the measure of each angle. Please show work and thanks for helping

Mathematics
1 answer:
spin [16.1K]3 years ago
8 0
This is a good one!

So we know that a triangle's angles must add up to 180 degrees. Therefore, we can say that:

(3x - 3) + (5x + 3) + (4x) = 180.

This can be rewritten as 12x = 180.

Divide each side by 12 to get x alone, you get:

x = 15

Time to plug n' chug.

4x = 60, 3x - 3 = 42, 5x + 3 = 78

Boom!
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Calculate the average rate of change over the intervals [0, 20] and [60, 80]. What does the average rate on these intervals tell
Assoli18 [71]

\frac{20 - 80}{0 - 60 }  = slope \: or the \: rate \: of \: \\  change \:  \\  \\      \frac{ - 60}{ - 60}  = 1
It tells you that over these intervals the balloon is going at a constant speed.
4 0
3 years ago
Urn A has balls numbered 1 through 6. Urn B has balls numbered 1 through 4. What is the probability that a 4 is drawn from A fol
oksian1 [2.3K]
Drawing the tree diagram of the problem, we see that there are 6 branches for drawing from Urn A, and then 4 branches for each of the 6 branches, for drawing from Urn B.

This means that there are 6*4=24 possible outcomes, which could be listed as
{(1, 1), (1, 2), (1, 3), (1, 4), (2, 1)... (6, 3), (6, 4)},

where the first coordinates represent drawing from urn A, and the second coordinates, drawing from urn B.

(4, 2) is one of these 24, so the probability is 1/24


remark, this problem could also have been solved by the multiplication principle of the probabilities of separate events, that is 1/6 (probability of drawing 4 from Urn A) times 1/4 (probability of drawing 2 from B) = 1/24


Answer: 1/24

7 0
3 years ago
Read 2 more answers
Jenny bought 4 DVD's for $25.20. What was the unit rate?
alukav5142 [94]

I think its 6.3........

5 0
3 years ago
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The value of x in the expression<br> 2x/3 - 7 = 5 is
Andrej [43]

Answer:

The answer is X = 18

Step-by-step explanation:

2x/3 - 7 = 5

Multiply both sides if the equation by 3 : 2x - 21 = 15

Move the constant to the right hand side and change its sign : 2x = 15 + 21

Calculate 2x = 15 + 21

2x = 36

Divide both sides of the eqaution by 2 : 2x = 36

x = 18

Answer X = 18

3 0
3 years ago
An easier question all wrong or unhelpful or no-work answers will be reported.
ipn [44]
Elimination: 

3x - 9y = 3
6x - 3y = -24

3x - 9y = 3
18x - 9y = -72
(subtract)
-15x = 75
÷ -15
x = -5

(3 × -5) - 9y = 3
-15 - 9y = 3
+ 15
-9y = 18
÷ -9
y = -2

Substitution:

6x - 3y = -24
+ 3y
6x = -24 + 3y

÷ 6
x = 4 + 0.5y

3(4 + 0.5y) - 9y = 3
12 + 1.5y - 9y = 3
12 - 7.5y = 3
- 12
-7.5y = -9
÷ -7.5
y = 1.2

x = 4 + (0.5 × 1.2)
x = 4 + 0.6
x = 4.6

So this one didn't fail as much, but I got different numbers. If you have to give in values, I'd give in the values from the elimination because I don't trust myself when it comes to the substitution
4 0
3 years ago
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