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3 years ago

Does anyone minding helping me with exterior angles ? due in 2 days

Mathematics

2 answers:

Darya [45]3 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ CBD is an exterior angle of the triangle, then

6x = x + 40 + 3x + 10, that is

6x = 4x + 50 ( subtract 4x from both sides )

2x = 50 ( divide both sides by 2 )

x = 25

Thus

∠ CBD = 6x = 6 × 25 = 150°

∠ CBA and ∠ CBD are adjacent angles and supplementary, sum to 180°, then

150° + ∠ CBA = 180° ( subtract 150° from both sides )

∠ CBA = 30°

Goryan [66]3 years ago

5 0

Answer:

x=25

Step-by-step explanation:

(x+40)+(3x+10)=6x

4x+50=6x

50=2x

25=x

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One fifth of one number and one fourth of a number are added, the result is 29. What is the original number?

Morgarella [4.7K]

Answer:

$\dfrac{580}{9}$

Step-by-step explanation:

$\dfrac{1}{5}x + \dfrac{1}{4}x = 29$

$\dfrac{4}{20}x + \dfrac{5}{20}x = 29$

$\dfrac{9}{20}x = 29$

$x = 29 \times \dfrac{20}{9}$

$x = \dfrac{580}{9}$

Answer: $\dfrac{580}{9}$

5 0

3 years ago

Alexis bought a CD player. She does not remember the price, but she does know that the 5% sales tax came to $4.80. What was the

snow_lady [41]

Answer:

Price of CD player = $96

Step-by-step explanation:

Given:

Sales tax = 5%

Amount of sales tax = $4.80

Find:

Price of CD player

Computation:

Price of CD player = Amount of sales tax / Sales tax

Price of CD player = 4.8 / 5%

Price of CD player = $96

6 0

3 years ago

Need help with gem trip sequences <br> 36 points!!!!!!!!!

coldgirl [10]

Answer:

$a_{n}$ = 8 $(-3)^{n-1}$

Step-by-step explanation:

The n th term of a geometric sequence is

$a_{n}$ = a $(r)^{n-1}$

where a is the first term and r the common ratio

Here a = 8 and r = - 24 ÷ 8 = - 3, thus

$a_{n}$ = 8 $(-3)^{n-1}$

3 0

3 years ago

Solve and SHOW YOUR WORK for the equation 3(4x – 2) = 9 + 2x + 5

enot [183]

Remember
you can do anyting to an equaiton as long as you do it to both sidess

distributive property
a(b+c)=ab+ac
commutativ property
a+b=b+a

distribute
3(4x-2)=12x-6

12x-6=9+2x+5
add 6 both sides
12x+6-6=9+6+5+2x
12x+0=20+2x
minus 2x
10x=20
divide 10
x=2

3 0

4 years ago

Read 2 more answers

Going top to bottom label them as A, B, C, and D

Ket [755]

I hope this helps you

7 0

4 years ago