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Marta_Voda [28]
3 years ago
15

I need help With this I will mark you if your awnser is right

Mathematics
1 answer:
ElenaW [278]3 years ago
8 0

Answer:

\boxed {\sf Equation: 60 \textdegree +4x= 180 \textdegree} \\

\boxed {\sf x=30}

Step-by-step explanation:

The interior angles of a triangle must add to 180 degrees.

In this triangle, the angles are A, B , and C. So,

  • ∠A + ∠B + ∠C= 180°

∠A is 60 degrees, ∠B is 3x, and ∠C is x. We can substitute the values in.

  • 60°+3x+x=180°

This is the equation we can use to find the value of x.

We also have like terms: 3x and x that can be combined.

  • 60° + (3x+x)= 180°
  • <u>60° + 4x=180° </u>

<u />

We can use the equation to solve for x. We have to isolate the variable.

60 is being added to 4x. The inverse of addition is subtraction. Subtract 60 from both sides of the equation.

  • 60°-60°+4x=180°-60°
  • 4x= 180°-60°
  • 4x=120°

x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.

  • 4x/4= 120°/4
  • x= 120°/4
  • <u>x=30 </u>

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Romashka [77]

Answer:

Probability of an Orange on the next toss

= (23/60) = 0.3833

Step-by-step explanation:

Orange: 46

Brown: 23

Green: 32

Yellow: 19

Probability of an Orange on the next toss

= n(orange colours obtained in the tosses) ÷ n(number of tosses)

n(orange colours in the tosses) = 46

Total number of tosses = 46 + 23 + 32 + 19

= 120.

Probability of an Orange on the next toss

= (46/120) = (23/60) = 0.3833

Hope this Helps!!!!

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3 years ago
In a history class, the girl to boy ratio is 5 to 3. If there are 80 students total, how many boys are there?​
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80x3/8=10 common factor. 10x5. And 10x3


50/30

30 boys

50 girls
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Which type of triangle will always have exactly 1-fold reflectional symmetry? right triangle obtuse triangle equilateral triangl
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The 20 girls in the class represented 55% of the students in the class. How many students are in the class?
inna [77]

Answer:

There are 31 students in the class.

Step-by-step explanation:

4 0
3 years ago
Which of the following situations could be modeled by an exponential function?
Sauron [17]

Answer: Option D.

Step-by-step explanation:

An exponential function is something like:

f(x) = A*(r)^x

Where:

A = initial amount.

r = rate of growth

x = variable.

This type of function is used to describe situations like "you have A dollars, and it increases by 30% each week"

or:

"There is a population of A animals, and it doubles each year"

Let's analyze briefly all the given options and see which one is an exponential function.

A) The water level of a tank decreases by 5 gallons every day.

This is a linear relation, if W is the initial amount of water, and x is the number of days, then the water level of the tank after x days is:

y = W - 5 gal*x

B) The amount of money collected by a charity increases by $5,000 each year.

The amount collected increases $5000 each year.

Then if in year 1 they collected A.

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in year 3 they collected A + 2*$5000

We already can see the pattern, this is a linear relation:

in year X they colected A + (X - 1)*$5000

C) A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.

if y is the height of the tree, and x is the number of years, this can be written as:

y = 10ft + x*2ft

Again, a linear relation.

D) The number of people in a stadium is decreasing at a rate of 45% every 10 minutes.

Let's define x as each "lapse" of 10 minutes that passes.

If N is the initial number of people in te stadium, then after 10 minutes the number of people is = N*(1 - 45%/100%) = N*(1 - 0.45) = N*0.55

After another 10 minutes, the population decreases again.

N*0.55*(1 - 45%/100%) = N*0.55*0.55 = N*0.55^2

We can see the pattern here, this can be written as

People(x) = N*(0.55)^x

This is an exponential function.

3 0
2 years ago
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