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pickupchik [31]
1 year ago
10

Big ideas math 1.2 Practice A number 19

Mathematics
1 answer:
slega [8]1 year ago
4 0

By applying Segment Addition Postulate, segment FH is equal to 24 units.

<h3>What is a point?</h3>

A point can be defined as a zero dimensional geometric object and it is generally represented by a dot.

<h3>What is a line segment?</h3>

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

<u>Given the following data:</u>

  • Line segment FG = 37.
  • Segment HG = 13.

Since point H lies on line segment FG, we would apply Segment Addition Postulate to determine segment FH as follows:

FG = HG + FH

37 = 13 + FH

FH = 37 - 13

FH = 24 units.

Read more on line segment here: brainly.com/question/17617628

#SPJ1

Complete Question:

Given that line segment FG = 37 and segment HG = 13, find segment FH.

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Which of the following points lies on the circle whose center is at the origin and whose radius is 13?
Alexxandr [17]

any point that is on the circle will  have a distance of "radius" units, namely 13 units, since the radius is just that.

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8 0
3 years ago
PLEASE ANSWER QUICKLY
Olegator [25]

Answer:

x=3

Step-by-step explanation:

Set equations equal to each other:

x^3-3x^2+2=x^2-6x+11

Subtract two from both sides

x^3-3x^2=x^2-6x+9
Factor out x^2 from the left side

x^2(x-3)=x^2-6x+9

Factor the right side, look for two factors of 9, which add to -6, which is just -3 and-3

x^2(x-3) = (x-3)(x-3)

So as you can see here, we have both sides in factored form, and both have a factor of (x-3) on both sides, and if one of the factors is zero, then the entire thing becomes zero, since 0 * anything= zero.

this means a solution would be at x=3, since it makes the right side 0 * 0 = 0, and the left side (3)^2 * 0 = 0

It's important to notice this, since had we divided by x-3 to make the equation a quadratic, we would've excluded this real solution, because when dividing by x-3 the solution x=3 makes it 0, so we would've been dividing by zero.

So one of the real solutions is at x=3

6 0
1 year ago
What is the simplified form of each expression? 4(20 + 12) ÷ (4 - 3)
kodGreya [7K]

Hi!

<h3>Let's solve this using PEMDAS.</h3><h3>Parentheses - Addition</h3>

4 * 32 ÷ (4 - 3)

<h3>Parentheses - Subtraction</h3>

4 * 32 ÷ 1

<h3>Multiplication</h3>

128 ÷ 1

<h3>Division</h3>

<u>128</u>

<h2>The answer is 128.</h2>

Hope this helps! :)

-Peredhel

7 0
3 years ago
A shipping container in the shape of a rectangular solid must have a volume of 84 cubic meters. The client tells the manufacture
Zolol [24]

Answer:

The Length , width and height of solid are 4 feet , 3 feet and 7 feet respectively.

Step-by-step explanation:

Let the width of rectangular solid be x

We are given that the length of the container must be one meter longer than the width

So, Length of solid = x+1

We are also given that height must be one meter greater than twice the width

So, Height of solid = 2x+1

So, Volume of solid = Length \times Width \times height

Volume of solid = (x+1) \times x \times (2x+1)

Volume of solid =(x^2+x)(2x+1)

Volume of solid =2x^3+x^2+2x^2+x=2x^3+3x^2+x

We are given that  a rectangular solid must have a volume of 84 cubic meters

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On equating

x-3=0

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Height of solid = 2x+1 =2(3)+1=7 feet

Width of solid = 3 feet

Hence The Length , width and height of solid are 4 feet , 3 feet and 7 feet respectively.

8 0
3 years ago
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