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2 years ago

I need to solve for x

Mathematics

2 answers:

emmainna [20.7K]2 years ago

8 0

Upper triangle: 12x +7x + angle of vertex = 180°
Lower triangle: 7x+6x+1 + angle vertex =180°
Notice than the angles at the vertex are equal

Then: 12x+7x+angle of vertex =7x+6x+1+angle of vertex
19x =13x+1
6x=1 & x=1/6

aalyn [17]2 years ago

6 0

6x+1 = 12x because the Z angles are the same

Solve this and you get:

1 = 12x - 6x => x = 1/6

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In a town election ,Azeem got 42 percent of the vote cast and Hamza get the remaining votes . If the total number of votes cast

sveta [45]

Answer:

23,200

Step-by-step explanation:

percentage of vote in favor of Azeem = 42

Since total percentage is 100

and Hamza got remaining percentage points

it can be calculated by subtracting Azeem's percentage of vote from total percentage

mathematically we have

percentage of vote in favor of Hamza = total percentage of vote - percentage of vote in favor of Azeem = 100 - 42 = 58

Therefore Hamza got 58% votes

Total no of votes cast as given in problem = 40,000

Vote for Hamza = 58% of total votes = 58% of 40000

=>Vote for Hamza = (58/100) * 40000 = 23,200.

Votes obtained by hamza is 23,200

8 0

2 years ago

You are at a family reunion and the cooler contains ten bottles of soda; four Sprite, three Dr. Pepper, and three Cherry Coke. T

natita [175]

Answer:

Probability of getting Dr. Pepper the fourth time = $\frac{1}7$

Probability of getting a cherry coke the fifth time = $\frac{1}{3}$

Combined probability = $\frac{1}{21}$

Step-by-step explanation:

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

It is given that first time a Cherry coke is chosen and it is not replaced.

So, number of cherry coke left = 2

Dr. Pepper is chosen twice and is not replaced, so

Number of Dr. Pepper left = 3 - 2 = 1

Total number of soda left = 10 - 3 = 7

So, probability of getting Dr. Pepper the fourth time = $\frac{1}7$

Now, total number of soda left = 7 - 1 = 6

Probability of getting a cherry coke the fifth time = $\frac{2}{6} = \frac{1}{3}$

The combined probability = probability of getting Dr. Pepper the fourth time multiplied with Probability of getting a cherry coke the fifth time

$\Rightarrow \dfrac{1}7 \times \dfrac{1}{3} = \dfrac{1}{21}$

6 0

3 years ago

A set of 6 number cards contain the numbers 2, 5, 7, 8, 9, and 11. Which ratio is less than the ratio of odd number cards to tot

Tamiku [17]

Answer:

$Ratio = 2:3$

Step-by-step explanation:

Given

$Cards = \{2,5,7,8,9,11\}$

Required

Ratio of odd numbers to total

First, list out the odd numbers

$Odd = \{5,7,9,11\}$

The card has 4 odd numbers out of a total of 6.

So, the ratio is:

$Ratio = Odd : Total$

$Ratio = 4:6$

Divide by 2

$Ratio = 2:3$

<em>Hence, the ratio of odd to total is 2 to 3</em>

3 0

2 years ago

If you do 12 minutes of a 45 minute workout how many calories is it? (the 45 minutes is 1000 calories in total)

velikii [3]

Answer:

266 $\frac{2}{3}$

Step-by-step explanation:

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2 years ago

The projected T. rex is about

dolphi86 [110]

Answer: $scale\ factor=230$

Step-by-step explanation:

You need to analize all the information given in the exercise.

You know that the actual height of the T-rex on the projector lens is the following:

$actual\ height=2\ cm$

The height of the projected T-rex is:

$projected\ height=4.6\ m$

Make the conversion from meters to centimeters:

$projected\ heigth=(4.6\ m)(\frac{100\ cm}{1\ m})\\\\projected\ heigth= 460\ cm$

Therefore, the scale factor will be:

$scale\ factor=\frac{projected\ heigth}{actual\ heigth}$

Finally, you must substitute values into the equation and then you must evaluate in order to find the scale factor of the projection. You get that this is:

$scale\ factor=\frac{460\ cm}{2\ cm}\\\\scale\ factor=230$

7 0

3 years ago