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2 years ago

A triangle has two angles with measures of 50 degrees and 70 degrees joined by a side with a length of 20 centimeters.

Mathematics

2 answers:

OlgaM077 [116]2 years ago

4 0

Answer:

Step-by-step explanation:

Given :-

Two angles in a triangle have measurements of 20° and 50 °.

To Find :-

Measurement of third angles of triangle

Solution :-

We know that the sum of all angles of triangle is 180°.

Measurement of third angles = x

20° + 50° + x = 180°

combine like terms

70° + x = 180°

subtract both sides from 70°.

70° - 70° + x = 180° - 70°

x = 110 °

Hence, the measurement of the third angie of a triangle is 110°.

Juli2301 [7.4K]2 years ago

3 0

Answer:

The third option is the correct answer.

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Irrational number: Any real number that cannot be written in fraction form is an irrational number.

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4 years ago

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Solve the system of equations using the substitution method. 2x − y = -10 y = 4x (x, y) =

ch4aika [34]

2x - y = -10
y = 4x
2x - 4x = -10
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x = 5

y = 4x
y = 4* 5
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Answer : (x,y) = (5,20)

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4 years ago

Compare the graphs f(x)=(x-10)^2+8 with the graph of f(x)=x^2

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b. The graph of g(x) is a translation 10 units right and 8 units up from the graph of f(x).

Step-by-step explanation:

See attached image.

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2 years ago

A web store offers two versions of a popular song. the size of the standard version is 2.5 megabytes. the size of the high-quali

Komok [63]

---------------------------------------------------
Define x and y :
---------------------------------------------------
Let x the number of 2.5M downloads.
Let y the number of 4.6M downloads.

---------------------------------------------------
Construct Equations :
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There was a total of 1230 downloads.
⇒ x + y = 1230

Total downloaded size was 4797M.
⇒2.5x + 4.6y = 4797

---------------------------------------------------
Find x and y :
---------------------------------------------------
x + y = 1230 -------------------- (1)
2.5x + 4.6y = 4797 ------------ (2)

---------------------------------------------------
From equation 1 :
---------------------------------------------------
x + y = 1230
x = 1230 - y // Take away y on both sides

---------------------------------------------------
Sub x = 1230 - y into equation 2 :
---------------------------------------------------
2.5 (1230 - y) + 4.6y = 4797 // Sub x = 1230
3075 - 2.5y + 4.6y = 4797 // Apply distributive property
3075 + 2.1y = 4797 // Combine like terms
2.1y = 1722 // Take away 3075 from both sides
y = 820 // Divide by 2.1 on both sides

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Sub y = 820 into equation 1 to find x :
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x + y = 1230
x + 820 = 1230 // Sub y = 820
x = 410 // Take away 820 from both sides

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Find the number of each type of downloads :
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Number of 2.5M downloads = x = 410
Number of 4.6M downloads = y = 820

-------------------------------------------------------------------------------------
Answer: There were 410 downloads for the standard version.
-------------------------------------------------------------------------------------

3 0

3 years ago

Assume that when with smartphones are randomly selected, 46% use them in meetings or classes. If 12 adult smartphone users are r

stellarik [79]

Answer:

The probability that fewer than 3 of them use their smartphones in meetings or classes is 0.03634

Step-by-step explanation:

Apply binomial probability formula which is written as;

$P(X=x)=\frac{n!}{x!(n-x)!} *P^{x} *(1-P)^{n-x}$

where P=46% =0.46, n=12

For this case where you find the probability that fewer than 3 of them use their smartphones in meeting or classes, x=2,1,0

Evaluating binomial probability at x=2 will be;

$P(X=2)=\frac{12!}{2!(12-2)!} *0.46^2*(1-0.46)^{12-2} \\\\P(X=2)=\frac{12!}{2!10!} *0.2116*0.002108\\\\=66*0.2116*0.002108\\=0.02944$

P(X=2)=0.02944

Evaluate binomial probability at x=1

$P(X=1)=\frac{12!}{1!(12-1)!} *0.46^1*(1-0.46)^{12-1} \\\\P(X=1)=\frac{12!}{1!11!} *0.46*0.54^{11} \\\\P(X=1)=12*0.46*0.001138\\\\P(X=1)=0.006284$

P(X=1)= 0.006284

Evaluate binomial probability at x=0

$P(X=0)=\frac{12!}{0!(12-0)!} *0.46^0*(1-0.46)^{12-0} \\\\P(X=0)=\frac{12!}{1*12!} *0.46^0*0.54^{12} \\\\P(X=0)=1*1*0.0006148 =0.0006148$

P(X=0)=0.0006148

Now for P(X<3)=P(X=2)+P(X=1)+P(X=10) =0.02944+0.006284+0.0006148

=0.0363388

=0.03634 (in 4 significant figures)

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3 years ago