I need help on all besides a

If Ill m, solve for x. (8x - 71) (5x + 7) x =

horsena [70]

Answer:

x=26

Step-by-step explanation:

by definition of alternate exterior angle rule 8x -71 = 5x +7

What you want to do is get your X's on one side I recommend subtracting 5x so that you don't have to deal with negative values.

8x-5x-71=5x-5x+7

3x-71=7

add 71 to both sides the goal now is trying to get by itself

3x-71+71=7+71

3x=78

now divide both sides by 3

3x/3=78/3

x=26

8 0

3 years ago

Read 2 more answers

Evaluate: 6-(2/3)^2 A. 17/3 B. 52/3 C. 49/9 D. 50/9

Komok [63]

Answer:

The correct answer is: "Option [D]".

Step-by-step explanation:

Hi student, let me help you out!

....................................................................................................................................

Let's use the acronym PEMDAS. With the help of this little acronym, we will not make mistakes in the Order of Operations! :)

$\dag\textsf{Acronym \: PEMDAS}$

P=Parentheses,

E=Exponents,

M=Multiplication,

D=Division,

A=Addition,

S=Subtraction.

Now let's start evaluating our expression, which is $\mathsf{6-(\cfrac{2}{3})^2}$

According to PEMDAS, the operation that we should perform is "E-Exponents".

Notice that we have a fraction raised to a power. When this happens, we raise both the numerator (2 in this case) and the denominator (3 in this case) to that power, which is 2. After this we obtain $\mathsf{6-\cfrac{4}{9}}$ .

See, we raised both the numerator and the denominator to the power of 2.

Now what we should do is subtract fractions.

Note that 6 and -4/9 have unlike denominators. First, let's write 6 as a fraction: $\mathrm{\cfrac{6}{1}-\cfrac{4}{9}}$ . Now let's multiply the denominator and the numerator of the first fraction times 9: $\mathrm{\cfrac{54}{9}-\cfrac{4}{9}}$ .

See, now the fractions have the same denominator. All we should do now is subtract the numerators: $\mathrm{\cfrac{50}{9}}$ .

∴, the answer is Option D.

Hope this helped you out, ask in comments if any queries arise.

Best Wishes!

$\star\bigstar\underline{\overline{\overline{\underline{\textsf{Reach \: far. Aim \: high. Dream \: big.}}}}}\bigstar\star$

$\underline{\rule{300}{5}}$

5 0

2 years ago

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Practice: Subtract Three-Digit Num 480 - 371 =

BigorU [14]

It is 109
Hope it helps !!

4 0

3 years ago

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ABCD is a Rhombus with side length 10 cm. Angle ADC = 40. DAC is a sector of a circle with center D. BAC is a sector of a circle

Natasha_Volkova [10]

The value of the shaded area is approximately 34.907 square centimeters.

<h3>How to calculate the area between a rhombus and a circle</h3>

According to the description in statement we prepared a representation of the figure in the image attached below. The shaded area is equal to the area of the circle sector ( $A$ ), in square centimeters: