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tekilochka [14]
3 years ago
8

The three angles of a triangle measure x+37, 90, and x+67. Find the measurement of the smallest angle in degrees.

Mathematics
1 answer:
vichka [17]3 years ago
7 0

Answer:

The first angle is the smallest

Step-by-step explanation:

Step one:

given data

Angle 1= x+37

Angle 2= 90

angle 3= x+67

We know that the sum of angle in a triangle is 180

so

x+3+90+x+67= 180

collect like terms

2x+160= 180

2x=180-160

2x= 20

divide both sides by 2

x= 10

Step two:

so

Angle 1= 10+37= 47 °

Angle 2= 90= 90

angle 3= 10+67= 77 °

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Aleksandr-060686 [28]
123 :D hope I helped
4 0
3 years ago
1. Write the fraction 8/9 as a percent. Round to the nearest hundredth of a percent where necessary. A. 88.89% B. 1.13% C. 44.44
Nadusha1986 [10]

Answer:

1.A. 88.89

2.B.6.3%

3.C.64.92%

Step-by-step explanation:

1.\frac{8}{9}=0.8888

to covert it into percentage multiply it with 100

then it becomes 88.888

rounding off to the nearest hundred it becomes 88.89

2. to convert into percentage multiply it with 100

therefore 0.063×100=6.3%

3. to find percentage

    %= (no of students using mobile / total no of students )× 100

       = \frac{792}{1200}×100

       =64.918

Rounding off to nearest hundred it becomes 64.92%


8 0
3 years ago
Read 2 more answers
Urgent!
Varvara68 [4.7K]

Answer:

See explanation

Step-by-step explanation:

From the graph,

  • After 1 hour passed, 2 inches of show fell
  • After 5 hours passed, 10 inches of snow fell
  • And so on

This means, that points (1,2), (5,10) lie on the graph. This graph passes through the origin, so its equation is

y=kx,

where k is the slope

Find k:

2=k\cdot 1\\ \\k=2,

so the equation is y=2x and the slope is k = 2.

The slope means how many inches of snow fell in 1 hour.

In 1 hour, 2 inches of snow fell.

8 0
3 years ago
The area of arizona is 113,998 and its population is 6,482505. The average state population density is 87.4 people per square mi
Harman [31]

Answer:

Step-by-step explanation:

First find the population density of AZ and then compare it to the US average of 87.4 people per square mile:

6,482,505

---------------- = 56.9 people per square mile

  113,998

The ratio of AZ's population density to the national average is:

56.9

--------- or 569/874

87.4

6 0
4 years ago
Solve and show work:
Katyanochek1 [597]

Im a keep editing since this is timed.


#1 x-8a/6=3a-2x


Multiply each term by 6 to remove fraction .


6(x-8a/6)= 3a(6)-2x(6)


X-8a=18a-12x


Add 12x both sides


X+12x-8a=18a-12x+12x


13x-8a= 18a


Add8a both sides


13x-8a+8a=18a+8a


13x=26a

Divide each side by 13


13x/13=26a/13


X= 26a/13


Reduce and cancel common factor .


X= 13(2a)/13(1)


X=2a/1


X=2a


Problem #2

3x-2a=7a find a


Subtract 3x both sides


3x-3x-2a=7a-3x


-2a=7a-3x


Subtract 7a both sides

-2a-7a=7a-7a-3x


5a=-3x

Divide both sides by 5

5a/5=-3x/5


A= -0.6 or -3/5


Problem#3

3(bx-2ab)=b(x-7a)+3ab


Distributed property


3(bx)+3(-2ab)=b(x)+b(-7a)+3ab


Simplify

3bx-6ab=bx-7ab+3ab


Add -7a plus 3ab on right side


3bx-6ab= bx-4ab


Subtract bx both sides


3bx-bx-6ab= bx -bx -4ab


Simplify


2bx-6ab= -4ab


Add 6ab both sides


2bx-6ab+6ab=6ab-4ab


2bx=2ab


Divide 2b both sides


X= 2ab/2b


Cancel 2 common


X= ab/b


X=a




7 0
3 years ago
Read 2 more answers
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