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Gnoma [55]
2 years ago
6

}{2}" alt="\frac{9}{2} +\frac{1}{2}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
3 0

Hello,

Numbers found by the ratio of a real number to a real number are called "Rational Numbers". As it is clearly seen in this question, the sum of two different rational numbers, the ratio of 9 to 2 and the ratio of 1 to 2, is asked.

Before we begin, let's examine the concepts of numerator and denominator.

Numerator: the part of a fraction that is above the line and signifies the number to be divided by the denominator.

Denominator: the part of a fraction that is below the line and that functions as the divisor of the numerator.

<u>Example:</u>

\frac{a}{b}

In the above expression, the variable "a" represents the numerator and the variable "b" represents the denominator.

Now we can solve the question. Let's get the result by adding the two given rational numbers.

\frac{9}{2}+\frac{1}{2}  =\frac{9+1}{2} =\frac{10}{2}=5

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Write to show how you make a ten.then add
storchak [24]
You can write it like this 5+5
3 0
3 years ago
A trapezoid has an area of 60 square inches. The height of the trapezoid is 5 inches. What is the length of the longer base if t
Vinil7 [7]

Answer:

Step-by-step explanation:

Remark

Let the shorter base = x

Let the longer base = 3x

h = 5

Area = 60

Formula

Area = (b1 + b2)*h /2

Solution

60 = (x + 3x)*5 / 2                Multiply both sides by 2

2*60 = (x + 3x)*5                  Combine like terms

120 = 4x *5

120 = 20x                             Divide by 20

120/20 = x

x = 6

Therefore the two bases are

x = 6

3x = 18

5 0
3 years ago
Read 2 more answers
Write the equation in y=mx+b form please????
Solnce55 [7]

ANSWER

y =  - 2x - 5

EXPLANATION

We can use any two points to determine the slope.

The line passes through;

(-3,1) and (-5,5).

The slope is given by

m =  \frac{y_2-y_1}{x_2-x_1}

This implies that;

m =  \frac{5 - 1}{ - 5 -  - 3}

m =  \frac{4}{ - 2}  =  - 2

We can now find the equation using the formula;

y-y_1=m(x-x_1)

y   - 1 =  - 2(x  + 3)

Expand:

y =  - 2x -6 + 1

y =  - 2x - 5

6 0
3 years ago
diagrams are not drawn to scale. do numbers 10 and 12. i only care about the answers &amp; the steps to get the answers. pls don
Stella [2.4K]

10. from the question; the circle theorem obeyed is "angled formed by semi-circle"

The angle formed in a semicircle is 90 degrees, hence

m\angle XYZ=90^{\circ}

This gives

m\angle YXZ\text{ + m}\angle YZX\text{ = 90}

But

\begin{gathered} m\angle YXZ\text{ = 2x + 8} \\ m\angle YZX\text{ = 5X - 2} \end{gathered}

Substituting values we get

\begin{gathered} 2x\text{ + 8 + 5x - 2 = 90} \\ 2x\text{ + 5x + 8 - 2 = 90} \\ 7x\text{ + 6 = 90} \\ 7x\text{ = 90 -6} \\ 7x\text{ = 84} \\ \text{divide both sides by 7} \\ x\text{ = }\frac{84}{7} \\ x\text{ = 12} \end{gathered}

hence, x =12

3 0
1 year ago
An angle measures 111.4° more than the measure of its supplementary angle. What is the measure of each angle?
fomenos

The measure of the supplementary angles are 34.3 and 145.7 degrees.

<h3>What are supplementary angles?</h3>

Supplementary angles are those angles that sum up to 180 degrees.

In other words, two angles are Supplementary when they add up to 180 degrees.

Therefore, the angles measures 111.4° more than the measure of it's supplementary angle.

Hence,

let

x = measure of the other angle

x + x + 111.4 = 180

2x + 111.4 = 180

subtract 111.4 from both sides

2x + 111.4 - 111.4 = 180 - 111.4

2x = 68.6

divide both sides by 2

x = 68.6 / 2

x = 34.3

Other angle  = 34.3 + 111.4 = 145.7°

Therefore, the measure of the supplementary angles are 34.3 and 145.7 degrees.

learn more on supplementary angles here: brainly.com/question/15966137

#SPJ1

6 0
1 year ago
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