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3 years ago

The figure shows two parallel lines intersected by a transversal. What is the measure of ANSWER ASAP PLS!!!! (;

Mathematics

1 answer:

Nina [5.8K]3 years ago

6 0

7x - 72 = 3x + 40
4x = 112
x = 28

3(28) + 40
= 124

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Balu had a collection of coins. 1/2 of the coins are from asian countries, 1/3 of them from european countries, 36 are from amer

Georgia [21]

The total number of coins Balu had in his collection was 216 coins, computed using the linear equation in one variable, x = x/2 + x/3 + 36.

Asian coins were 1/2 a fraction of this, that is, (1/2)*216 = 108 coins.

We assume the total coins with Balu to be x.

The fraction of coins from Asian countries = 1/2.

Thus, the number of coins from the Asian countries = 1/2 of x = x/2.

The fraction of coins from European countries = 1/3.

Thus, the number of coins from the European countries = 1/3 of x = x/3.

The number of coins from America = 36.

Thus, the total number of coins = x/2 + x/3 + 36.

But, we assumed that the total number of coins is x.

Thus, we get a linear equation in one variable as follows:

x = x/2 + x/3 + 36.

We solve this equation as follows:

x = x/2 + x/3 + 36,

or, x - x/2 - x/3 = 36,

or, (6x - 3x - 2x)/6 = 36,

or, x/6 = 36,

or, x = 36*6 = 216.

Thus, the total number of coins Balu had in his collection was 216 coins, computed using the linear equation in one variable, x = x/2 + x/3 + 36.

Asian coins were 1/2 a fraction of this, that is, (1/2)*216 = 108 coins.

Learn more about fractions at

brainly.com/question/2929160

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2 years ago

How to write 8/15 as a decimal?

Murrr4er [49]

Answer:

0.53

Step-by-step explanation:

Basically just go to your calculator and put in 8 divded by 15

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3 years ago

Find the distance between the points (0,-2) and (6,-6)

goldenfox [79]

Answer:

Formular:

$length = \sqrt{ {(x_{1} - x_{2} )}^{2} + {(y_{1} - y_{2} ) }^{2} }$

x1 » 0

x2 » 6

y1 » -2

y2 » -6

$l = \sqrt{ {(0 - 6)}^{2} + {( - 2 - 6)}^{2} } \\ \\ l = \sqrt{ {( - 6)}^{2} + {( - 8)}^{2} } \\ \\ l = \sqrt{36 + 64} \\ \\ l = \sqrt{100}$

for the √100 in surds:

$l = \sqrt{10 \times 10} = \sqrt{ {10}^{2} } = ( {10}^{2} ) {}^{ \frac{1}{2} } \\ \\ { \boxed{ \boxed{distance = 10 \: \: units}}}$

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3 years ago

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A fair number cube is rolled. What is the probability that a number less than 4 is rolled?

patriot [66]

Answer: B) 1/2

There are six sides labeled 1,2,3,4,5,6. We want values that are less than 4, so we want values from the set {1,2,3} which represents half of the list. In other words, we have 3 ways of getting what we want (1 or 2 or 3) out of 6 ways total (1,2,3,4,5,6) to have 3/6 = 1/2

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3 years ago

There are 3 boxes of tangerines. Each box has 93 tangerines. The tangerines will be divided equally among 9 classroms. How many

soldi70 [24.7K]

There are 3 boxes, each box has 93 tangerines.

$3 \times 93=279$

There are 279 tangerines. They will be divided equally among 9 classrooms.

$279 \div 9=31$

Each classroom will get 31 tangerines.

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3 years ago

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