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2 years ago

Solve the inequality.

Mathematics

1 answer:

xenn [34]2 years ago

8 0

Answer:

x < -24(option

Step-by-step explanation:

-¼x - 12 > -6

Add 12 to both sides

-¼x - 12+12 > -6+12

-¼x > 6

Divide both sides by -¼

x < 6 ÷ -¼

Please note that the inequality sign changes when divided by negative (minus). This is a rule in inequalities.

x < 6 × -4

x < -24

I hope this was helpful, please mark as brainliest

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Given: Angle 2 is 65 degrees. What is the angle measurement of Angle 4. Explain the angle relationship used and show your work.

lesya [120]

Answer:

$\angle 4 = 115^{\circ}$

$\angle 3 = 65^{\circ}$

$\angle 7 = 65^{\circ}$

Step-by-step explanation:

Given

$\angle 2 = 65^{\circ}$

See attachment

Solving (a): $\angle 4$

To solve for $\angle 4$ , we make use of:

$\angle 2 +\angle 4 = 180^{\circ}$

The relationship between both angles is that they are complementary angles

Make $\angle 4$ the subject

$\angle 4 = 180^{\circ} - \angle 2$

Substitute $65^{\circ}$ for $\angle 2$

$\angle 4 = 180^{\circ} - 65^{\circ}$

$\angle 4 = 115^{\circ}$

Solving (b): $\angle 3$

To solve for $\angle 3$ , we make use of:

$\angle 3 =\angle 2$

The relationship between both angles is that they are complementary angles

$\angle 3 = 65^{\circ}$

Solving (c): $\angle 7$

To solve for $\angle 7$ , we make use of:

$\angle 7 = \angle 3$

The relationship between both angles is that they are alternate exterior angles.

So:

$\angle 7 = 65^{\circ}$

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Brand X sells 21 oz. Bags of mixed nuts that contain 29% peanuts. To make their product they combine brand A mixed nuts which co

masha68 [24]

Answer:

Brand X has to mix 8.4 oz of brand A mixed nuts which contain 35% peanuts and 12.6 oz of brand B mixed nuts which contain 25%, to obtain 21 oz. Bags of mixed nuts that contain 29% peanuts.

Step-by-step explanation:

We define

$B_{A}=1oz @ 35\%$ , wich means Brand A has 1 oz containing 35% peanuts.

$B_{B}=1oz @ 25\%$ , wich means Brand b has 1 oz containing 25% peanuts.

So we can build an equiation system

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As we can use any method to solve the system, I used a calculator wich thrown the following results $B_{a}=8.4 \ oz$ and $B_{b}=12.6 \ oz$ .

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