Please help me asap please and ty

What is the solution to the inequality -6+|2p+3|>7

andrezito [222]

Answer:

p >5 or p <-8

Step-by-step explanation:

-6+|2p+3|>7

Add 6 to each side

-6+6+|2p+3|>7+6

|2p+3|>13

We get a positive and negative solution

2p +3 > 13 and 2p +3 < -13

Subtract 3 from each side

2p +3 -3> 13-3 or 2p +3-3 < -13-3

2p > 10 2p < -16

Divide by 2

2p/2 > 10/2 2p/2 <-16/2

p >5 or p <-8

5 0

3 years ago

Read 2 more answers

Help me jim! geometry homework

Maksim231197 [3]

Question 1

The angles 52 degrees match up. So if the sides are in proportion, then the triangles are similar.

Notice how 8/12 = 18/27 is a true equation. So the sides are in proportion to one another.

Therefore, the triangles are similar. I used the SAS similarity theorem.

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Question 2

Let's find the missing angle of the triangle on the right. For now, make that missing angle to be x.

Rule: For any triangle, the three angles always add up to 180

x+70+32 = 180

x+102 = 180

x = 180-102

x = 78

The missing angle of the triangle on the left is 78 degrees

Repeat for the other triangle as well

y+78+32 = 180

y+110 = 180

y = 180-110

y = 70

Both triangles have the angles 32, 70, 78 in whatever order you wish.

Since the angles match up like this, the triangles are similar because of the AA Similarity theorem

Technically, we only need 2 pairs of congruent angles at minimum. But having 3 congruent pairs doesn't hurt either.

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Question 3

We have a pair of congruent 54 degree angles shown. There's another pair of angles at the very top that overlap (aka shared angles).

Since we have two pairs of congruent angles, the two triangles are similar.

This time we use the AA Similarity theorem

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Question 4

Let's divide the longest side of the bottom triangle by the longest side of the triangle on top

48/32 = 1.5

Now let's divide the shortest sides of each triangle in the same order

36/24 = 1.5

Repeat for the middle-most sides

45/30 = 1.5

We get the same linear scale factor 1.5 each time. Therefore, the triangles are similar due to the SSS Similarity theorem

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Question 5

Any angle is equal to itself due to the reflexive property. So that will go for reason number 2.

Reason 3 is SAS similarity because we have the sides in proportion (statement 1) and the angles are congruent (statement 2).

3 0

2 years ago

Which pair of triangles can be proven congruent by SAS? AA

GalinKa [24]

The second one. There is a side, an angle, and another side.

7 0

3 years ago

Karla's jewelry box is shaped like a rectangular prism. The bottom surface of the box has an area of 65 square inches. The heigh

koban [17]

Answer:

780 cubic inches

Step-by-step explanation:

Step one:

Given data

The bottom surface of the box has an area of 65 square inches.

Already given an area and a height of 12 in

we proceed to find the volume by multiplying Area and height

Required

The volume of the box

Volume= Area* height

Step two:

Volume= 65*12

Volume = 780 cubic inches

6 0

2 years ago

A coin which is tossed straight up into the air. After it is released it moves upward, reaches its highest point and falls back

Helen [10]

Answer:

Answers G, and A

Step-by-step explanation:

the motion of a body is as a result of the various forces acting on it.

As the coin is tossed upwards an upwards force acts on it and this force decreases up to the highest point the coin reaches. at the highest point the force of gravity applies. This force is downwards and constant (9.8m/ $s^{2}$ ).

4 0

3 years ago