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3 years ago

A and B are vertical angles. If mA = (8x – 12) and mB = (6x + 14) ,then find the value of x.

Mathematics

1 answer:

Novay_Z [31]3 years ago

8 0

Answer:

x = 14

Step-by-step explanation:

∠A = (8x – 12) and ∠B = (6x + 14)

∠A = ∠B because they are vertical angles

then:

(8x – 12) = (6x + 14)

reduce:

2x = 28

x = 14

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If t = 4 find the value of t+6 over 5 (fraction)

Liono4ka [1.6K]

$\frac{t+6}{5}$
Since t = 4, wherever you see t replace it with 4
$=\frac{4+6}{5}$
$\frac{10}{5} 
$
$=2
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8 0

3 years ago

Solve for x. 2(x + 14) + x = 70a. 11b. 12c. 14d. 17

Mariulka [41]

Hello!

To solve for the variable x, we need to follow the rules of SADMEP. SADMEP is ONLY used when solving algebraic equations. SADMEP is an acronym for subtraction, addition, division, multiplication, exponents, and parentheses. Also, when solving for x, our main goal is to isolate x to one side of the equation.

2(x + 14) + x = 70 (use the distributive property)

2x + 28 + x = 70 (simplify - add)

3x + 28 = 70 (subtract 28 from both sides)

3x = 42 (divide both sides by 3)

x = 14

When solving ANY algebraic equation, we need check our answer. To check your answer, you substitute the x-value, which is 14 in this case, into the original equation and solve using PEMDAS.

2(x + 14) + x = 70 (substitute x = 14)

2(14 + 14) + 14 = 70 (simplify the terms inside the parentheses)

2(28) + 14 = 70 (simplify - multiply)

56 + 14 = 70 (simplify - add alike term)

70 = 70 | This is correct!

Therefore, your final answer is x = 14, which is choice C.

6 0

3 years ago

Hurry Please!

blagie [28]

I believe the answer should be 4 and 2

3 0

3 years ago

Please help me on this I’m super stuck

erastova [34]

Answer:

Step-by-step explanation:

To solve this you need to know that cosine∅ = adjacent/hypotenuse. We already know that hypotenuse = 5 and that ∅ = 70*. By substituting these in you will get cosine 70* = adjacent/5. Evaluate cosine 70* on the calculator and get 0.633... Multiply both sides by 5 and get adjacent is about equal to 3.1666. Because BC is the adjacent side of the triangle, this is the length of BC.

6 0

4 years ago

4. The red graph (1) is the graph of f(x) = log(x). Describe the transformation of the blue function (2) and write the equation

sergey [27]

Answer:

Function $f(x)$ is shifted 1 unit left and 1 unit up.