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4 years ago

How do you decide whether a number is a solution of an inequality

Mathematics

1 answer:

disa [49]4 years ago

4 0

Answer:

We can solve inequalities to find all values of the variable that make the inequality true. The idea is to get the variable all by itself on one side of the inequality sign so we can easily see the solutions to the inequality.

Hence for any given inequality and for any given number if we put that number in that inequality and see that the given inequality sign holds true than that number will be a solution of the inequality otherwise it is not an solution of the inequality.

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HELP!

astraxan [27]

Answer:

Step-by-step explanation:

The two lines are parallel in the triangle if they satisfy the basic proportionality theorem that is:

$\frac{MX}{XL}=\frac{MY}{YN}$

Now, different segments lengths are given as:

(A) LX=2, XM=7, NY=4 and YM=14

Applying the basic proportionality theorem,

$\frac{7}{2}=\frac{14}{4}$

$\frac{7}{2}=\frac{7}{2}$

Hence, The line segment LN is parallel to XY.

(B) LX=2, XM=6, NY=3 and YM=9

Applying the basic proportionality theorem,

$\frac{6}{2}=\frac{9}{3}$

$\frac{3}{1}=\frac{3}{1}$

Hence, The line segment LN is parallel to XY.

Applying the basic proportionality theorem,

$\frac{3}{2}{\neq}\frac{7}{4}$

Hence, The line segment LN is not parallel to XY.

8 0

3 years ago

Read 2 more answers

Find angle a from geometry cahpter 10.4 inscribed angles and polygons

Gelneren [198K]

Answer:

∠ A = 42°

Step-by-step explanation:

The inscribed angle BAC is half the measure of its intercepted arc, that is

∠ A = $\frac{1}{2}$ × 84° = 42°

3 0

3 years ago

Roland was driving to campus but realized that his car is out of gas. He started driving around Syracuse looking for a gas stati

tester [92]

Answer:

Roland is right, he can be 95% sure that average gas prices have gone up since the same time last year.

Step-by-step explanation:

Let μ be average gas price around Syracuse.

Then hypotheses are:

$H_{0}:$ μ = $2.68

$H_{a}:$ μ > $2.68

Then test statistic can be calculated as:

z= $\frac{X-M}{\frac{s}{\sqrt{N} } }$ where

X is the Roland's calculated average gas prices of 50 gas stations ($2.74)

M is the average average gas prices in the entire of Syracuse last year

s is the standard deviation ($0.11)

N is the sample size(50)

Then z= $\frac{2.74-2.68}{\frac{0.11}{\sqrt{50} } }$ ≈ 3.86

Since P-value of test statistic ≈ 0.00006 <0.05 (significance level), we can reject the null hypothesis.

7 0

4 years ago

Lol i told my friend id help them with this but im doing a test and i have a time limit so help me lol

GarryVolchara [31]

Answer:

Question 1: Diameter of 14ft

Question 2: It has a radius of 6ft

Question 3: it has a diameter of 19ft

let me know if this helps!!

Step-by-step explanation:

5 0

3 years ago

Can someone find the equation that equals this in algebra tiles

Ronch [10]

Answer:

I am not entirely sure mi amor but my guess is this,

(x^2/1) + 2x

Step-by-step explanation:

As you can see,

Step 1: X^2 is located above x/x. when you divide something by itself for example 2/2 you get one. So x/x equals one, then multiplied by two x.

*DISCLAIMER*

I am not entirely sure if this is correct but given the information provided this is my best guess

I hope this helps!! If you need any more assistance, feel free to hmu!

♥,

Cedë

4 0

3 years ago