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Nastasia [14]
3 years ago
13

What is the value of x? 32 36 37 40

Mathematics
1 answer:
hammer [34]3 years ago
5 0
X+4x-20=180
5x-20=180
5x=200
x=40
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#2 is the one I need help with
sleet_krkn [62]

Step-by-step explanation:

By arc sum Postulate of a circle:

2 x + 3x + 4x = 360°

9x = 360°

x = 360°/9

x = 40°

3x = 3* 40° = 120°

By inscribed angle theorem:

m\angle 1= \frac {1}{2} \times 3x\\\\\therefore m\angle 1= \frac {1}{2} \times 120°\\\\\huge \red {\boxed {\therefore m\angle 1= 60°}}

By tangent secant theorem:

m\angle 2 = \frac {1}{2} \times 3x\\\\\therefore m\angle 2 = \frac {1}{2} \times 120°\\\\\huge \purple {\boxed {\therefore m\angle 2 = 60°}}

Since, measure of central angle is equal to the measure of its corresponding minor arc.

m\angle 3 = 3x\\\\\huge \pink {\boxed {\therefore m\angle 3 = 120°}}

By angle sum Postulate of a triangle:

m\angle 3 + 2 m\angle 4 = 180°\\\\120° + 2 m\angle 4 = 180° \\\\2 m\angle 4 = 180°- 120° \\\\2 m\angle 4 = 60° \\\\m\angle 4 = \frac {60°}{2} \\\\\huge \orange {\boxed {m\angle 4 =30°}}

3 0
3 years ago
Angelina wants to buy the same number of pens and pencils. Pens come in 8 packs and pencils come in packs of 9. What is the leas
andrew11 [14]

Answer:

Angelina should buy 9 packs of pens and 8 packs of pencils.

Step-by-step explanation:

Each pack of pens = 8 pens

Each pack of pencils = 9 pencils.

Also we know that, Commutative Property of Multiplication states that

a x b = b x a for any two numbers a and b.

So, 8 x 9 = 72 = 9 x 8

Hence, she should buy 9 packs of pens, so she will have 9 x 8 = 72 pens.

And she should buy 8 packs of pencils, she will have 8 x 9 = 72 pencils.

7 0
3 years ago
Someone helppppppppppppp
mihalych1998 [28]

Answer:

Answer is 18

Step-by-step explanation:

18x3=54

54+54=108

18+2=20

20+20=40

108+40=148

7 0
3 years ago
Read 2 more answers
8. Which number below is the least?
il63 [147K]

Answer: C

Step-by-step explanation:

Simplified: -1.4, -0.25, -0.2, 0

I hope this helps

             ~Princess <3

7 0
3 years ago
Solve for x <br><br> x/6= 16/9
Tju [1.3M]

Answer:

x = 32/3

Step-by-step explanation:

Step 1: Write equation

x/6 = 16/9

Step 2: Solve for <em>x</em>

  1. Cross multiply: 9x = 96
  2. Divide both sides by 9: x = 96/9
  3. Simplify: x = 32/3
8 0
3 years ago
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