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drek231 [11]
3 years ago
12

20 POINTS! Please help, best answer will recessive brainliest answer points as well as 5 stars and a thank you. :)

Mathematics
1 answer:
Artyom0805 [142]3 years ago
7 0
<h3>Question: </h3><h3>In the diagram below of Δ ABC, side BC is extended to point D, m∠A = x , m∠B = 2x+15, and m∠ACD = 5x+5 , what is m∠B ?</h3>

Answer: 3) m∠B = 25º

Step-by-step explanation:

Since m∠C is supplementary to m∠ACD

m∠C = 180º - m∠ACD

m∠C = 180º -(5·x + 5)

m∠C = 180º -5 -5·x

m∠C = 175º - 5·x

The sum of the angles of a triangle = 180º

m∠A + m∠B + m∠C = 180º

x + 2·x + 15º + 175º - 5·x = 180º

3·x - 5·x +190º = 180º

-2·x = 180º - 190º

-2·x = -10º

x = -10º/-2 = 5º

Now we can substitute this value of x in m∠B

m∠B = 2x+15

m∠B = 2·x + 15º = 2·5º + 15º = 10º + 15º = 25º

Answer: 3) m∠B = 25º

<h2><em>Spymore</em></h2>
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Janelle went to the bank twice and withdrew a total of $40 from
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Step-by-step explanation

Divide 40 by 2 for her 2 visits to the bank

\frac{40}{2} = 20 \\

<em>Final Answer: </em>20

 

6 0
2 years ago
Given 14 – 2(x + 8) = 5x – (3x – 34), prove x = -9 what are the steps to be able to prove x=-9
Veronika [31]

Answer: x = -9

steps

Simplifying

14 + -2(x + 8) = 5x + -1(3x + -34)

Reorder the terms:

14 + -2(8 + x) = 5x + -1(3x + -34)

14 + (8 * -2 + x * -2) = 5x + -1(3x + -34)

14 + (-16 + -2x) = 5x + -1(3x + -34)

Combine like terms: 14 + -16 = -2

-2 + -2x = 5x + -1(3x + -34)

Reorder the terms:

-2 + -2x = 5x + -1(-34 + 3x)

-2 + -2x = 5x + (-34 * -1 + 3x * -1)

-2 + -2x = 5x + (34 + -3x)

Reorder the terms:

-2 + -2x = 34 + 5x + -3x

Combine like terms: 5x + -3x = 2x

-2 + -2x = 34 + 2x

Solving

-2 + -2x = 34 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-2 + -2x + -2x = 34 + 2x + -2x

Combine like terms: -2x + -2x = -4x

-2 + -4x = 34 + 2x + -2x

Combine like terms: 2x + -2x = 0

-2 + -4x = 34 + 0

-2 + -4x = 34

Add '2' to each side of the equation.

-2 + 2 + -4x = 34 + 2

Combine like terms: -2 + 2 = 0

0 + -4x = 34 + 2

-4x = 34 + 2

Combine like terms: 34 + 2 = 36

-4x = 36

Divide each side by '-4'.

x = -9

7 0
3 years ago
Please help! Brainliest to the first answer!
Helga [31]
She needs 4 more beads
3 0
3 years ago
What percentage of $25000 is $6000
ollegr [7]
Solution for 600 is what percent of 25000:

600:25000*100 =

(600*100):25000 =

60000:25000 = 2.4

Now we have: 600 is what percent of 25000 = 2.4
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3 years ago
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