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3 years ago

-5(x-2) - 2x + 6 help me answer this!

Mathematics

1 answer:

ehidna [41]3 years ago

8 0

Answer:

x=2.2 this is nice question

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BD is the angle bisector of

AlexFokin [52]

Note: Let us consider, we need to find the $m\angle ABC$ and $m\angle DBC$ .

Given:

In the given figure, BD is the angle bisector of ABC.

To find:

The $m\angle ABC$ and $m\angle DBC$ .

Solution:

BD is the angle bisector of ABC. So,

$m\angle ABD=m\angle DBC$

$3x=x+20$

$3x-x=20$

$2x=20$

Divide both sides by 2.

$x=\dfrac{20}{2}$

$x=10$

Now,

$m\angle DBC=(x+20)^\circ$

$m\angle DBC=(10+20)^\circ$

$m\angle DBC=30^\circ$

And,

$m\angle ABC=(3x)^\circ+(x+20)^\circ$

$m\angle ABC=(4x+20)^\circ$

$m\angle ABC=(4(10)+20)^\circ$

$m\angle ABC=(40+20)^\circ$

$m\angle ABC=60^\circ$

Therefore, $m\angle DBC=30^\circ,m\angle ABD=30^\circ$ and $m\angle ABC=60^\circ$ .

8 0

1 year ago

Find sin D sin E cos D and cos E

Andrew [12]

9514 1404 393

Answer:

sin(D) = cos(E) = (√3)/2

cos(D) = sin(E) = 1/2

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationships between trig functions and right triangle sides.

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

For this diagram, this means ...

sin(D) = cos(E) = (13√3)/26 = (√3)/2

cos(D) = sin(E) = 13/26 = 1/2

5 0

2 years ago

Write the number name for 485,002,000

Sav [38]

Four hundred eighty five million and two thousand

Please mark brainliest and good luck :P

3 0

2 years ago

Read 2 more answers

Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (–

madam [21]

The first step of simplifying the expression would be summing up the "i"s. They are separate ("+i" and "+5i") but you can still sum them up though they are apart. This is thanks to the commutative property of addition which allows summing the terms of an expression with several additions in whatever order it is prefered. Commutative means that the terms can be interchangeable.

4 0

2 years ago

If angle 1 and angle 2 are vertical angles, and the m<1 = 10x - 9 and m<2 = 4x + 15. Find the value for x.

weeeeeb [17]

Answer:

x = 4

Step-by-step explanation:

Vertical angles are equal.

m∠1 = m∠2

10x - 9 = 4x + 15

Add 9 to both sides

10x = 4x + 15 + 9

10x = 4x + 24

Subtract 4x from both sides

10x -4x = 24

6x = 24

Divide both sides by 6

x = 24/6

x = 4

6 0

2 years ago