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3 years ago

AB, CD, and EF are straight lines intersecting at point O. Find x.

Mathematics

1 answer:

frutty [35]3 years ago

8 0

Answer:

Firstly, identify all the pairs of vertically opposite angles. Vertically opposite angles are equal.

In this case,

AOC & DOB are vertically opposite angles so both of them are 2x°

EOD & COF are vertically opposite angles so they are both 3x°.

FOB & EOA are vertically opposite angles so they are both x°.

Adding the values of all 6 angles, we get:

3x + 3x + 2x + 2x + x + x = 12x

We also know that

12x = 360°

x = 30°

You might be interested in

Which pair of numbers is the greatest common factor 15?

gavmur [86]

Answer:

The answer is 3 and 5

Step-by-step explanation:

3 and 5 is 15 (correct)

10 and 25 is 250 (not correct)

30 and 60 is 1800 (not correct)

60 and 75 is 450 (not correct)

5 0

3 years ago

Can y’all help me please ??

love history [14]

Answer:

77o

Step-by-step explanation:

3 0

3 years ago

Someone please help me I’m really struggling I will give brainliest

viktelen [127]

Answer:

SA ≈ 1134 cm²

General Formulas and Concepts:

Math

Pi π = 3.14...

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Radius: r = d/2
Surface Area of a Sphere: SA = 4πr²

Step-by-step explanation:

Step 1: Define

d = 19 cm

Step 2: Find SA

Substitute [R]: r = 19 cm/2
Divide: r = 9.5 cm
Substitute [SAS]: SA = 4π(9.5 cm)²
Exponents: SA = 4π(90.25 cm²)
Multiply: SA = 361π cm²
Multiply: SA = 1134.11 cm²
Round: SA ≈ 1134 cm²

8 0

3 years ago

Solve for x. Simplify completely. x^2+4x+4=8

velikii [3]

X^2+4x+4=8
-8 -8
subtract 8 from both sides

x^2+4x-4=0

now factor using quadratic formula
ax^2+bx+c=0

x= -b +-[ (sqrt (b^2-4ac))/2a ]

x=-2(1+sqrt(2))

x= 2(sqrt(2) -1)

hope that helps, hopefully you know how to plug and chug into quadratic formula. if not you can ask for help

5 0

3 years ago

14. A recipe calls for % cup brown sugar for

12345 [234]

Answer:

1 1/8 cup of brown sugar.

Step-by-step explanation:

Here is the correct question: A recipe calls for 3/4 cup brown sugar for each 2/3 cup white sugar. How many cups of brown sugar per cup of white sugar is this?

Given: 3/4 cup of brown sugar for each 2/3 cup of white sugar.

Finding requirement of brown sugar for 1 cup of white sugar.

∴ Each 2/3 cup of white sugar require 3/4 cup of brown sugar.

Now, 1 cup of white sugar require brown sugar = $\frac{\frac{3}{4} }{\frac{2}{3} } cups$

= $\frac{3}{4} \times \frac{3}{2} = \frac{9}{8} \ cup$

Thus, we can say $\frac{9}{8}$ = 1 1/8 cup of brown sugar is required per cup of white sugar.

5 0

3 years ago