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3 years ago

Find the value of the variables in each figure. Explain your reasoning.

Mathematics

2 answers:

worty [1.4K]3 years ago

7 0

Answer: Number 7) x=14 and y=37

Number 8) x=28 and y=23

Step-by-step explanation: Number 7) Please see fig 1 in the attachment for naming of angle.

As per diagram line b||c and their transverse line a.

Using line and angle concepts.

{Corresponding angles of parallel line b||c}

{Supplementary angle of straight line}

Now combine the like term and solve for x and we get,

12x=180-12

x=14

For line a, 4y-10+3x=180 {Supplementary angle of straight line}

where, x=14

So, we get 4y-10+3(14)=180

4y=180-32

y=37

Number 8) Please see fig 2 in the attachment for naming of angles.

As per given diagram a||b||c and line d is transversal of all three line.

Using line and angle concepts.

{Corresponding angles of parallel line a||b}

{Supplementary angle of straight line}

3y+5y-4=180

8y=184

y=23

3y=2x+13 {Corresponding angles of parallel line b||c}

we calculated y=23 substitute into above equation and we get

3(23)=2x+13

2x=69-13

x=28

tiny-mole [99]3 years ago

5 0

Answer: ..................................................

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3 years ago

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What is the value of the expression? 8.5 - (-4.8) - 7

marysya [2.9K]

Answer:

6.3

Step-by-step explanation:

8.5 - (-4.8)

Let's focus on - (-4.8)

if a negative number is subtracted, it reverses itself

In other words, if a negative number is being subtracted, it is the same as being added as a positive number

So we change the equation to

8.5 + 4.8 = 13.3

Now we subtract 7 from 13.3

Since positive 7 is being subtracted, the rule for -4.8 does not apply to it

13.3 - 7 = 6.3

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3 years ago

How do you solve this can someone help me pls

horrorfan [7]

Answer:

x-8°+20°= 90°

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5 0

4 years ago

What is the value of y if 13/9 = y/18

Maslowich

Answer:

$y=26$

Step-by-step explanation:

1. Swap sides

$\frac{13}{9}=\frac{y}{18}$

Swap sides:

$\frac{y}{18}=\frac{13}{9}$

2. Isolate the y

$\frac{y}{18}=\frac{13}{9}$

Multiply to both sides by 18:

$\frac{y}{18}\cdot 18=\frac{13}{9}\cdot 18$

Group like terms:

$\frac{1}{18}\cdot 18y=\frac{13}{9}\cdot 18$

Simplify the fraction:

$y=\frac{13}{9}\cdot 18$

Multiply the fractions:

$y=\frac{13\cdot 18}{9}$

Simplify the arithmetic:

$y=26$

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Why learn this:

Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?
Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.

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Terms and topics

Linear equations with one unknown

The main application of linear equations is solving problems in which an unknown variable, usually (but not always) x, is dependent on a known constant.

We solve linear equations by isolating the unknown variable on one side of the equation and simplifying the rest of the equation. When simplifying, anything that is done to one side of the equation must also be done to the other.

An equation of:

$ax+b=0$

in which $a$ and $b$ are the constants and $x$ is the unknown variable, is a typical linear equation with one unknown. To solve for $x$ in this example, we would first isolate it by subtracting $b$ from both sides of the equation. We would then divide both sides of the equation by $a$ resulting in an answer of: