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scoray [572]
3 years ago
5

Find the value of x........

Mathematics
1 answer:
raketka [301]3 years ago
7 0

Answer:

x=23

Step-by-step explanation:

Hello There!

Remember the exterior angle of a triangle is equal to the opposite interior angles of a triangle

so

137-x=2x+3x-1

now we can solve for x

step 1 combine like terms

2x+3x=5x

now we have

137-x=5x-1

step 2 add 1 to each side

-1+1 cancels out

137+1=138

138-x=5x

step 2 add x to each side

-x+x cancels out

5x+x=6x

now we have

138=6x

step 3 divide each side by 6

6x/6=x

138/6=23

we´re left with x=23

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Joe is at the ice cream shop, and his house is 10 blocks north of the shop. The park is 10 blocks south of the ice cream shop. W
Furkat [3]

Answer:

The distance between the ice cream shop and Joe's house is the same as the distance between the ice cream shop and the park. So Joe is not closer to the park or his house, he is in the middle.

Step-by-step explanation:

We consider that the ice cream shop is the zero value in the number line. We assume that going north is positive (right side of the number line) and going south is negative (left side of the number line).

The house position is 10 block north of the ice cream shop, so it is represented by the integer 10.

The park is 10 blocks south of the ice cream shop, so it is represented by the integer -10.

The lower absolute value of the integer, the closer position from the ice cream shop.

If we calculate the absollute value of the House position:

|10|=10

Then, we calculate the the absollute value of the Parkposition

|-10|=10

In conclusion, the distance between the ice cream shop and Joe's house is the same as the distance between the ice cream shop and the park. Joe is in the middle.

5 0
3 years ago
If 4x-3=13, then 4x=16
mr Goodwill [35]

Answer:

True!

Step-by-step explanation:

4x - 3 = 13

Add 3 to both sides;

4x = 16

Divide both sides by 4;

x = 4

3 0
3 years ago
Read 2 more answers
In how many ways can a president and a vice president be randomly selected from a class of 20 students?
SpyIntel [72]

Answer:

n how many ways can a president, vice president, and a secretary be chosen? It is 12X11X10. Permutation of n things taken r at a time: nPr=n!/(n-r)! 12P3=12*11*10*9!/9!= 12*11*10=1320 ways.

Step-by-step explanation:

7 0
3 years ago
What is PEMDAS and why do we use it
Vlad [161]
"Please Excuse My Dear Aunt Sally<span>". It stands for "Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction".
</span><span> we follow PEDMAS simply because that's the accepted convention, but we have the convention because it fits common cases well and makes mathematical expressions easier to read. 
</span>
I don't know exactly what answer you're looking for but that's what I got. This shouldn't have been hard to pick up on in class lol.
7 0
3 years ago
Read 2 more answers
A group of adults and students buy tickets for a dance performance.
kakasveta [241]

Answer:

There are 10 students

Step-by-step explanation:

69.55-(5.35*3)= 53.5

53.5/10=5.35 which is what each ticket costed

So the answer is 10 students

6 0
3 years ago
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