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kykrilka [37]
2 years ago
13

How do you solve -4+3x</= -12 +5x? inequalities

Mathematics
1 answer:
navik [9.2K]2 years ago
6 0
You were trying to write -4+3x≤12+5x

remember, you can do anything to an equaiton as long as you do it to both sides

-4+3x≤-12+5x
minus 3x both sides
-4≤-12+2x
add 12 to both sides
8≤2x
divide both sides by 2
4≤x
x≥4
x≥7.5
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Heya! ツ
fiasKO [112]

Answer:

See Below.

Step-by-step explanation:

In the given figure, O is the center of the circle. Two equal chords AB and CD intersect each other at E.

We want to prove that I) AE = CE and II) BE = DE

First, we will construct two triangles by constructing segments AD and CB. This is shown in Figure 1.

Recall that congruent chords have congruent arcs. Since chords AB ≅ CD, their respective arcs are also congruent:

\stackrel{\frown}{AB }\, \cong\, \stackrel{\frown}{CD}

Arc AB is the sum of Arcs AD and DB:

\stackrel{\frown}{AB}=\stackrel{\frown}{AD}+\stackrel{\frown}{DB}

Likewise, Arc CD is the sum of Arcs CB and DB. So:

\stackrel{\frown}{CD}=\stackrel{\frown}{CB}+\stackrel{\frown}{DB}

Since Arc AB ≅ Arc CD:

\stackrel{\frown}{AD}+\stackrel{\frown}{DB}=\stackrel{\frown}{CB}+\stackrel{\frown}{DB}

Solve:

\stackrel{\frown}{AD}\, \cong\,\stackrel{\frown}{CB}

The converse tells us that congruent arcs have congruent chords. Thus:

AD\cong CB

Note that both ∠ADC and ∠CBA intercept the same arc Arc AC. Therefore:

\angle ADC\cong \angle CBA

Additionally:

\angle AED\cong \angle CEB

Since they are vertical angles.

Thus:

\Delta AED\cong \Delta CEB

By AAS.

Then by CPCTC:

AE\cong CE\text{ and } BE\cong DE

5 0
2 years ago
Read 2 more answers
Can someone please help fr.​
alex41 [277]

Answer:

IM LOOKING FOR THE ANSWER TO LOL

Step-by-step explanation:

6 0
3 years ago
Plz help will make brainlyist
siniylev [52]

Answer:

A. 6

B. 143

C. The words "less than", "equal to", and "no more than"

Step-by-step explanation:

For a, we would want to first make an equation to represent the problem. It appears you've already figured that out though, so lets solve it!

Subtract 56 on both sides.

-6m=-36

Now divide -36 by -6 to isolate m.

m=6

It will take her 6 minutes.

For B, we need to make another equation.

2.95b<450-28

First, we can subtract 28 from the total, because she has already spent $28.

Now our equation is 2.95b<422

Lastly, just divide both sides by 2.95 to isolate b.

Our solution is 143. So she can buy 143 batteries.

Lastly, for 13, we can say that the words "less than", "equal to" and "no more than" can indicate an inequality in a real word problem.

Hope this helps!

3 0
3 years ago
Hey! Can someone help me?
bazaltina [42]

Answer:

I believe the answer is B

5 0
2 years ago
What is the area of the trapezoid shown below?
andrew-mc [135]
Ok so the triangle part is 10 but I don’t know what the rectangle part is but the formula for a rectangle is A=base x high
5 0
3 years ago
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