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3 years ago

PRETTY PLEASE HELP MEE Use the figures to write a good definition of linear pair.

Mathematics

2 answers:

pashok25 [27]3 years ago

7 0

A linear pair are 2 angles, when added, form a line. They're supplementary angles that add up to 180 degrees.

Sophie [7]3 years ago

4 0

Answer:

B. Two angles are a linear pair if and only if they share a side and a vertex and are supplementary.

Step-by-step explanation:

We are given that the figures representing linear pair.

From the figure, we see that,

Both the angles in a linear pair share the same vertex.

Both the angles in a linear pair share the same side.

Also, The sum of the angles in a linear pair is 180° i.e. they are supplementary angles.

That is, the correct definition for the linear pair is given by,

<h3>B. Two angles are a linear pair if and only if they share a side and a vertex and are supplementary.</h3>

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Write each rational number as a decimal. A)17/40 B)11/24

scZoUnD [109]

A)17/40 = 0.425

B)11/24 = 0.458

4 0

4 years ago

Read 2 more answers

) 10 counters in a bag. 4 red, 3 green, 2 pink and 1 blue. Ella picks a counter at random from the bag, notes the colour and the

Fofino [41]

Answer:

a) i) The probability depends on the total number of counters not on the number of colors.

ii) There are 10 number of counters not 4

b) $\dfrac{3}{10}$

Step-by-step explanation:

Given that:

Total number of counters in a bag = 10

Number of red counters = 4

Number of green counters = 3

Number of pink counters = 2

Number of blue counters = 1

a) Ella writes: "There are four colors, so the probability of selecting a green is $\frac{1}4 + \frac{1}4 = \frac{2}4$ , so the probability is $\frac{1}2$ "

Ella has considered the total type of counters here, which is 4.

But Ella must have considered total number of counters which is 10.

i) The probability depends on the total number of counters not on the number of colors.

ii) There are 10 number of counters not 4

b) There are 4 colors in the bag.

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

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

To select 2 counters of the same color:

$P(2\ red) = \dfrac{4}{10}\times \dfrac{4}{10} = \dfrac{16}{100}$

$P(2\ green) = \dfrac{3}{10}\times \dfrac{3}{10} = \dfrac{9}{100}$

$P(2\ pink) = \dfrac{2}{10}\times \dfrac{2}{10} = \dfrac{4}{100}$

$P(2\ blue) = \dfrac{1}{10}\times \dfrac{1}{10} = \dfrac{1}{100}$

The required probability will be the sum of all 4 above probabilities:

$P(2\ of\ same\ color) = \dfrac{30}{100} = \bold{\dfrac{3}{10} }$

6 0

3 years ago

X+4+3(x)=x-8 Answer this for me

Grace [21]

Step-by-step explanation:

3x= (-8) -4

x=(-12)/3

x= -4

3 0

3 years ago

Read 2 more answers

What value of x is in the solution set of 3(x – 4) ≥ 5x + 2?

alisha [4.7K]

Hey!

To start solving equation, we should first distribute the parenthesis. We do this so that we can get rid of the parenthesis.

Original Equation :
3 ( x - 4 ) ≥ 5x + 2

New Equation {Changed by Distribution} :
3x - 12 ≥ 5x + 2

Next, we'd add 12 to both sides of the equation to get rid of the 12 on the left side of the equation.

Old Equation :
3x - 12 ≥ 5x + 2

New Equation {Changed by Adding 12 to Both Sides} :
3x ≥ 5x + 14

Now we subtract 5x from both sides of the equation to get rid of the 5x from the right side.

Old Equation :
3x ≥ 5x + 14

New Equation {Changed by Subtracting 5x From Both Sides} :
-2x ≥ 14

Now we must inverse the inequality. To do that we multiply both sides by -1.

Old Equation :
-2x ≥ 14

New Equation {Changed by Inverse} :
2x ≤ -14

Just by looking at the equation, you can easily tell that it needs to be simplified. So, that's what we'll do next.

Old Equation :
2x ≤ -14

New Equation {Changed by Dividing Both Sides by Two} :
x ≤ -7

Seeing as the equation cannot be simplified any further, we have our answer.
The value of x in the inequality of 3 ( x – 4 ) ≥ 5x + 2, is x ≤ -7.

Hope this helps!

- Lindsey Frazier ♥

7 0

3 years ago

Read 2 more answers

Father is 20 years older than to win. if the aim of their age is 40 years . find the answer

Elena L [17]

Answer:

we make 20&40 to be add.

Step-by-step explanation:

if we add 20&40

mean 20+40=60

so the answer is 60.

7 0

3 years ago