MATHEMATICS HIGH SCHOOL

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What is the value of x?

Answers

Answer 1

Answer:

Answer:

x = 21

Step-by-step explanation:

We know: The sum of the triangle angle measures is 180°.

Therefore we have the equation:

$100+3x+x-4=180\qquad\text{combine like terms}\n\n(3x+x)+(100-4)=180\n\n4x+96=180\qquad\text{subtract 96 from both sides}\n\n4x=84\qquad\text{divide both sides by 4}\n\nx=21$

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12, 6, 7, 11, 11, 9, 13, 16, 10. What is the interquartile range of the data set?

Answers

first put the numbers in order
6,7,9,10,11,11,12,13,16

Q1 = (7 + 9) / 2 = 16/2 = 8
Q2 (median) = 11
Q3 = (12 + 13) / 2 = 25/2 = 12.50

Interquartile range (IQR) = Q3 - Q1 = 12.50 - 8.00 = 4.5

$5876 are distributed equally among 26 people how much money will a person get

Answers

Answer:

$226.00

Step-by-step explanation:

$5876 / 26 = $226.00 per person

The number( √5 +2)(√5 - 2) is a. an irrational number b. a rational number c. not a natural number d. none of these

Answers

Answer:

The number (√5 + 2)(√5 - 2) can be simplified using the difference of squares formula, which states that (a + b)(a - b) = a² - b². In this case:

(√5 + 2)(√5 - 2) = (√5)² - 2² = 5 - 4 = 1

So, the number (√5 + 2)(√5 - 2) is equal to 1, which is a rational number because it can be expressed as a ratio of two integers (1/1). Therefore, the correct answer is:

b. a rational number

Final answer:

The expression ( √5 +2)(√5 - 2) can be simplified using the difference of squares formula. The result is a rationalnumber, making option b. a rational number the correct answer.

Explanation:

The expression ( √5 +2)(√5 - 2) can be simplified using the difference of squares formula. The difference of squares formula states that a^2 - b^2 = (a + b)(a - b). In this case, a = √5 and b = 2. Plugging these values into the formula, we have (√5)^2 - 2^2 = ( √5 +2)(√5 - 2) = 5 - 4 = 1.

Since 1 is a rational number (it can be expressed as a fraction), the correct answer is b. a rational number.

Learn more about Simplifying algebraic expressions here:

brainly.com/question/35412911

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The ratio of boys to girls in a school is 5:4. if there are 180 students, how many girls are there?

Answers

Salutations!

The ratio of boys to girls in a school is 5:4. if there are 180 students, how many girls are there?

Let the number of girls and boys be 'x'.

$5x + 4x = 180$

Add 5 and 4

$9x = 180$

$x = 20$

Now, multiply the ratios by 20.

Boys = 20 × 5 = 100

Girls = 20 × 4 = 80.

There were 80 girls.

Hope I helped (:

Have a great day!

A) Draw a number line from 0 to 2. Then draw and label the points 2 and 0.2. B) use the number line to explain why 2 is 10 times the value of 0.2

Answers

Answer:

See attachment

Step-by-step explanation:

A) We draw the number line as shown in the attachment with intervals of 0.2 from 0 to 2.

B) Observe that, from 0 to 0.2 you move one units to get to 0.2.

From 0 to 2, on the number line with intervals of 0.2, you move 10 units from 0.

This means that:

$2 = 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2$

This gives us:

$2 = 0.2(1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1)$

Then finally we have:

$2 = 0.2(10)$

By the commutative property of multiplication:

$2 = 10 * 0.2$

Find the constant of proportionality and unit rate for the data in the table. Then write the equation to represent the relationship between time t and distance d Time Distance
2 hrs 90 miles
3 hrs 135 miles
5 hrs 225 miles
6 hrs 270 miles
I dont understand how to do this kind of math.Please help

Answers

You should set up an X and Y table. Make time X and Distance Y. (the table is like a cross: on the left top put x and left top put y. Then under the line list the x and y numbers given in order.) Then find the "slope" which is y/x (rise over run) then you get the increase rate of 45 mph. The relation between them would be D=45t

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