MATHEMATICS MIDDLE SCHOOL

2. Find the value of x to the nearest tenth.a. 4.5
b. 5.4
c. 6.3
d. 7.2

3. Find the value of x.
a. 7
b. 7.5
c. 8
d. 8.5

4. FG ⊥ OP, RS ⊥ OQ. FG=40, RS=40, OP=15. Find x.
a. 15
b. 17
c. 20
d. 21

5. Find the value of x to the nearest tenth.
a. 7.5
b. 7.9
c. 8.1
d. 8.9

Answers

Answer 1

Answer:

Answer:

Part 2) Option b. 5.4

Part 3) Option c. 8

Part 4) Option a. 15

Part 5) Option d. 8.9

Step-by-step explanation:

Part 2) Find the value of x to the nearest tenth

we know that

x is the radius of the circle

Applying the Pythagoras Theorem

$x^(2)=3.6^(2)+(8/2)^(2)$

$x^(2)=28.96$

$x=5.4\ units$

Part 3) Find the value of x

In this problem

x=8

Verify

step 1

Find the radius of the circle

Let

r -----> the radius of the circle

Applying the Pythagoras Theorem

$r^(2)=8^(2)+(15/2)^(2)$

$r^(2)=120.25$

$r=√(120.25)$

step 2

Find the value of x

Applying the Pythagoras Theorem

$r^(2)=x^(2)+(15/2)^(2)$

substitute

$120.25=x^(2)+56.25$

$x^(2)=120.25-56.25$

$x^(2)=64$

$x=8\ units$

Part 4) Find the value of x

In this problem

x=OP=15

Verify

step 1

Find the radius of the circle

Let

r -----> the radius of the circle

In the right triangle FPO

Applying the Pythagoras Theorem

$r^(2)=15^(2)+(40/2)^(2)$

$r^(2)=625$

$r=25$

step 2

Find the value of x

In the right triangle RQO

Applying the Pythagoras Theorem

$25^(2)=x^(2)+(40/2)^(2)$

$625=x^(2)+400$

$x^(2)=625-400$

$x^(2)=225$

$x=15\ units$

Part 5) Find the value of x

Applying the Pythagoras Theorem

$6^(2)=4^(2)+(x/2)^(2)$

$36=16+(x/2)^(2)$

$(x/2)^(2)=36-16$

$(x/2)^(2)=20$

$(x/2)=4.47$

$x=8.9$

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Answers

Answer:

1. x=158

2. x=58

3. x=68

4. the shape is a 20-gon

6. the shape has 52 sides

Step-by-step explanation:

1. the sum of interior angles of a nonagon is 1260. You add all the numbers that are shown. that comes out to 1102. 1260-1102 is 158.

2. the sum of interior angles of a 4 sided shape is 360. you add 2x+5+2x+7+x+x and you get 6x+12. then you make an equation, 6x+12=360. subtract 12 from both sides and you get 6x=348. Divide by 6 on both sides and you get x=58

3. the sum of interior angles of a pentagon is 540. you add x-8+3x-11+x+8+2x+7+x and you get 8x-4. then you make an equation, 8x-4=540. you add 4 to both sides and you get 8x=544. Divide by 8 on both sides and you get x=68

4. I don't know how to find it, but I know that a 20-gon has the sum of interior angles that equals up to 3240. sorry

5. I am sorry, i don't know how to do that

6. use (n-2)180. n is the number of sides. replace n with 52. (52-2)180. (50)180 = 9000

️What are all the common factors of 15 45 and 90?

Answers

common factors are numbers that all the numbers in question can be divided by and the result will be an integer.

Factors of 15 are 1,3,5 and 15
Factors of 45 are 1,3,5,9,15,45
Factors of 90 are 1,2,3,5,6,9,10,15,18, 30,45,90

So common factors (that they all have) are 1,3,5 and 15

Factors of 15: 1,3,5 and 15. Factors of 45: 1,3,5,9,15,45.
Factors of 90: 1,2,3,5,6,9,10,15,18, 30,45,90.

So common factors for all of them are 1,3,5 and 15

Divide long 3.2 : 82.0768

Answers

I got 0.0389875 hope its right

HOW TO FIND THE MISSING NUMERATOR IN ANY FRACTIONS LIKE 4/8= ?/4

Answers

Fractions are direct proportions.
So when you have $(4)/(8)$ you can simplify the fraction
$(2)/(4)$ and simplify even further to $(1)/(2)$ . This would be a fraction in simplest form

Closes benchmark for 99

Answers

It is most likely to be 100 bc its older and its closest to 99

The answer is 100 because 99 is exremely close to 100

Round each addend to the nearest whole number and estimate the sum
19.43+11.5+3.08

Answers

19+12+3=34

because 11.5 is right between 11 and 12 you always round up

2. Find the value of x to the nearest tenth.a. 4.5b. 5.4c. 6.3d. 7.23. Find the value of x.a. 7b. 7.5c. 8d. 8.54. FG ⊥ OP, RS ⊥ OQ. FG=40, RS=40, OP=15. Find x.a. 15b. 17c. 20d. 215. Find the value of x to the nearest tenth. a. 7.5b. 7.9c. 8.1d. 8.9

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2. Find the value of x to the nearest tenth.a. 4.5
b. 5.4
c. 6.3
d. 7.2

3. Find the value of x.
a. 7
b. 7.5
c. 8
d. 8.5

4. FG ⊥ OP, RS ⊥ OQ. FG=40, RS=40, OP=15. Find x.
a. 15
b. 17
c. 20
d. 21

5. Find the value of x to the nearest tenth.
a. 7.5
b. 7.9
c. 8.1
d. 8.9