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3 years ago

If x is the midpoint of pq, write the relation between px and pq as an inequality

Mathematics

1 answer:

marysya [2.9K]3 years ago

5 0

Answer: Use a math calculator it should help. If not sorry. :/

Step-by-step explanation:

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Why are inverse relationships between operations used to solve two step inequalities?

zhenek [66]

Answer:

The goal in solving an equation is to get the variable by itself on one side of the equation and a number on the other side of the equation. To isolate the variable, we must reverse the operations acting on the variable. We do this by performing the inverse of each operation on both sides of the equation.

Reverse addition and subtraction (by subtracting and adding) outside parentheses. Reverse multiplication and division (by dividing and multiplying) outside parentheses. When multiplying or dividing by a negative number, flip the inequality sign. It does not matter if the number being divided is positive or negative

It's necessary to apply inverse operations on both sides of the equals signs so that you can solve for the variable and balance the equation.

Multi-step inequalities are solved using the same processes that work for solving equations with one exception. When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol. (Much like when you divide by a negative number, the sign of the inequality must flip! Here's why: When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side!)

4 0

3 years ago

- 4 x + 9 = 21 x=___ help

faust18 [17]

X=-3
because
-4x=21-9
-4x= 12 divide both sides
x=-3

4 0

3 years ago

Read 2 more answers

In the figure, AB║CD and ∠EIA is congruent to ∠GJB Complete the following statements to prove that ∠IKL is congruent to ∠DLH.

Finger [1]

Here it is given that AB || CD

< EIA = <GJB

Now

∠EIA ≅ ∠IKC and ∠GJB is ≅ ∠ JLD (Corresponding angles)

∠EIA ≅ ∠GJB then ∠IKC ≅ ∠ JLD (Substitution Property of Congruency)

∠IKL + ∠IKC 180° and ∠DLH + ∠JLD =180° (Linear Pair Theorem)

m∠IKL + m∠IKC = 180° ....(1)

But ∠IKC ≅ ∠JLD

m∠IKC = m∠JLD (SUBTRACTION PROPERTY OF CONGRUENCY)

So we have

m∠IKL + m∠JLD = 180°

∠IKL and ∠JLD are supplementary angles.

But ∠DLH and ∠JLD are supplementary angles.

∠IKL ≅ ∠DLH (CONGRUENT SUPPLEMENTS THEOREM)

7 0

3 years ago

Read 2 more answers

Can anyone answer this for me?

Sunny_sXe [5.5K]

Answer:

y = 2 - $x^{2}$

Step-by-step explanation:

$x^{2}$ results in a parabola (U-shape). Adding a negative in front of it flips the parabola to look like an upside-down U.

The 2 makes it shift up two decimal spots to (0,2).

8 0

3 years ago

Tina has been dieting for a total of 13 weeks she lost 3 pounds on the first week of her dad but gain back a pound on the second

natima [27]

So Tina has been dieting for 13 weeks

On week 1: She lost 3 pounds, so +3 pounds

On week 2: She gained a pound, so - 1 pound

On each remaining week, she lost 2 pounds, so,

On week 3: She lost 2 pounds, so +2 pounds

On week 4: She lost 2 pounds, so +2 pounds

On week 5: She lost 2 pounds, so +2 pounds

On week 6: She lost 2 pounds, so +2 pounds

And so on,,,

So losing 2 pounds each week for 11 weeks would equal, 2 pounds x 11 weeks = 22 pounds

So, add that all up: 3 pounds - 1 pound + (2 x 11 weeks) = 24 pounds total

4 0

3 years ago