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2 years ago

Please help me find the value of x with all the work

Mathematics

2 answers:

lutik1710 [3]2 years ago

7 0

X=21 lmk if you need the work shown

iVinArrow [24]2 years ago

4 0

Answer:

x = 21

Step-by-step explanation:

the angles 5x - 35 and 3x + 7 are vertical angles and congruent, thus

5x - 35 = 3x + 7 ( subtract 3x from both sides )

2x - 35 = 7 ( add 35 to both sides )

2x = 42 ( divide both sides by 2 )

x = 21

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2 years ago

which two beverages have a sum of 5/8 of the students votes favorite beverages iced tea 3/8 fruit juice 2/8 water 1/8 soda 2/8 _

ki77a [65]

Answer:

The two beverages can be (iced tea,fruit juice) or (iced tea,soda).

Step-by-step explanation:

Given : Beverages iced tea $\frac{3}{8}$ , fruit juice $\frac{2}{8}$ , water $\frac{1}{8}$ , soda $\frac{2}{8}$ .

To find : Which two beverages have a sum of $\frac{5}{8}$ of the students votes ?

Solution :

We have to get the two beverages whose sum became $\frac{5}{8}$ .

The possible ways are

1) Iced tea + Fruit juice = $\frac{3}{8}+\frac{2}{8}$

Iced tea + Fruit juice = $\frac{5}{8}$

2) Iced tea + Soda = $\frac{3}{8}+\frac{2}{8}$

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3 years ago

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2 years ago

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3 years ago

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navik [9.2K]

The answer is the option d, which is: d) $\frac{-77+21i}{130}$

The explanation for this problem is shown below:

1. Smplify the denominator and rewrite the numerator in this form:

$\frac{7i}{7-2i-4-9i} \\\frac{7i}{3-11i}$

2. Multiply the denominator and the numerator by the conjugated $(3+11i)$ and simplify the expression, as following:

$\frac{7i(3+11i)}{(3-11i)(3+11i)} \\ \frac{21i+77i^{2}}{121+9} \\ \frac{-77+21i}{130}$

3. As you can see, you obtain the expression shown in the option mentioned above.

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3 years ago