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3 years ago

Consider that lines a and b are parallel. What is the measurement of ∠12?

Mathematics

1 answer:

tia_tia [17]3 years ago

5 0

76 degrees

∠4 + 42 + 62 = 180

∠4 = 76 degrees; therefore,∠12 also equals 76 degrees

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Factor 3x + 9<br><br> Please explain how you got the answer

eimsori [14]

To factor 3x + 9 you should know that 3 is a common factor of both 3 and 9, so you can factor 3 out in both numbers like this.

3x + 9

3(x + 3)

When you factor out 3 on both numbers you should know that 3 X 3 = 9 and since you factored out 3 there would be another 3 left so you would have the answer: 3(x + 3)

Here is another equation that might help:

24x + 36

Since 12 is a common factor of both numbers, factor 12 out of the equation:

12 (2x + 3)

You know that 12 x 2 = 24 and that 12 x 3 = 36

And since you can't factor out anymore numbers because 2 and 3 doesn't have any common factors with each other you get the answer:

12 (2x + 3)

3 0

3 years ago

IB QUESTIONS:

enyata [817]

Step-by-step explanation:

Using SOHCAHTOA

$\tan = \frac{opposite}{adjacent} \\ \tan {31}^{0} = \frac{450}{x} \\ \tan {31}^{0} = 0.6009 \\ 0.6009 = \frac{450}{x} \\ cross \: multiply \\ 0.6009x = 450 \\ divide \: both \: sides \: by \: 0.6009 \\ x = \frac{450}{0.6009}x \\ = 748.9$

Second Question Explanation:

a. The base angles of an isosceles triangle are equal so angle ABC is also 32°

but the sum of angles in a triangle = 180° therefore

let angle CAB be x

${32}^{0} + {32}^{0} + {x}^{0} = {180}^{0} \\ 64 + x = 180 \\ {x}^{0} = 180 - 64 \\ {x}^{0} = {116}^{0}$

b. If you share a triangle in half you get 2 right angles so I'll use SOHCAHTOA to find the length AB

First the base of the right angled triangle will be 20/2 = 10

$\cos = \frac{adjacent}{hypotenuse} \\ \cos {32}^{0} = \frac{10}{ab} \\ \cos32 = 0.8480 \\ 0.8480 = \frac{10}{ab} \\ ab = \frac{10}{0.8480} \\ line \: ab = 11.8$

c. To find the are we'll need to get the height first

using the right angled triangle With base 10cm and hypotenuse 11. 8 to find the height we'll use the Pythagorean theorem

${(11.8)}^{2} = {x}^{2} + {10}^{2} \\ 1324.24 = {x}^{2} + 100 \\ {x}^{2} = 139.24 - 100 \\ {x}^{2} = 39.24 \\ \sqrt{ {x}^{2} } = \sqrt{39.24} \\ x = \sqrt{39.24 } \\ x = 6.3$

now to find the area

$area \: of \: triangle = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 20 \times 6.3 \\ \frac{20 \times 6.3}{2} \\ = \frac{126}{2} \\ 63 {cm}^{2}$

4 0

2 years ago

Solve (2x + 3) - (9x - 3)

Diano4ka-milaya [45]

Answer:

-7x + 6

Step-by-step explanation:

3 0

3 years ago

Perpendicular lines AB and CD Intersect at point E. If m<AED=×+20, wha is the value of x

vladimir1956 [14]

Answer:

x = 70°

Step-by-step explanation:

Itz given that AB & CD are perpendicular to each other and intersect at E . So , angle(AED) = 90°

But here the value of angle(AED) = 90°

So,

x + 20 = 90°

=> x = 90° - 20°

= 70°

3 0

2 years ago

Im working with FOIL distribution system, and the distribution says that x times 2x= 2x^2. Why does it make it squared equation?

jek_recluse [69]

Answer:

No, let me explain

Step-by-step explanation:

The definition of squared is a value multiplied by itself, and in this case, 2x(x) x is being multiplied by itself. Keep in mind that x is a value, so it could be any number. We can't say that x times 2x equals 2x, because you are multiplying 2x by the value of x.

5 0

3 years ago