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3 years ago

What is the value of x?

Mathematics

1 answer:

Licemer1 [7]3 years ago

5 0

Answer:

D. 16

Step-by-step explanation:

1. Because these are vertical angles (opposite pair of angles that are formed by intersecting lines), these are congruent. That means (8x-8) = (7x+8).

2. (Solving)

Step 1: Subtract 7x from both sides.

$8x-8-7x=7x+8-7x$
$x-8=8$

Step 2: Add 8 to both sides.

$x - 8 + 8 = 8 + 8$
$x = 16$

Step 3: Check if solution is correct.

$8(16)-8=7(16)+8$
$128-8 = 112+8$
$120 = 120$

Therefore, the answer is D. 16.

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Which fractions are greater than 5/10 ? Choose exactly two answers that are correct.

lakkis [162]

6/10 or 3/5
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3 years ago

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Suppose that 1/2 of all cars sold at a Nissan dealer in a given year are Altimas, 1/3 are Maximas, and the rest are Sentras. Sup

IRINA_888 [86]

Answer:

(1) Not conditional, 5/8

(2) Not conditional, 1/12

(3) Conditional, 1/18

Step-by-step explanation:

Fraction of cars sold

Altima = 1/2

Maxima = 1/3

Sentra = 1 - (1/2 + 1/3) = 1 - 5/6 = (6 - 5)/6 = 1/6

Fraction of cars sold with moon roof

Altima = 3/4 × 1/2 = 3/8

Maxima = 1/2 × 1/3 = 1/6

Sentra = 1/2 × 1/6 = 1/12

(1) Probability (a randomly selected car has a moon roof) = 3/8 + 1/6 + 1/12 = (9+4+2)/24 = 15/24 = 5/8

(2) Probability (a randomly selected car has a moon roof given it is Sentra) = 1/12

(3) Probability (a randomly selected car is a Maxima if it has a moon roof) = 1/3 × 1/6 = 1/18

A conditional probability uses if (as a condition) in making statements or asking questions

An unconditional probability makes statement or ask question without the use of condition (if)

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3 years ago

What is 20/10 as a mixed number?

nadya68 [22]

Hello there!
the answer is 2

Hope this helps! :)
~zain

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3 years ago

Aiden knows the length of only one side of his garden. He says he will be able to find the area knowing only one aide. Explain h

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This is possible providing the garden is in the shape that has equal sides, such as a square or an equilateral triangle.

Area of a square is found by multiplying one side to the other, which would be the same as multiplying two same numbers.