The figure shows a line graph and two shaded triangles that are similar:Which statement about the slope of the line is true?

It is 1/2 throughout the line

It is 2 throught the line

The slope from point O to point A is 1/2 time the slope of the line from point A to point B

The slope from point O to pint A is two times the slope of the line from point A to point B

Answers

Answer 1

Answer: Let's find the slope!

Point A is (4,2)
Point B is (6,3)

$\sf{Slope = (y_2-y_1)/(x_2-x_1) }\n\n=(2-3)/(4-6) =(-1)/(-2)=\boxed{\bf{(1)/(2)}}$

The slope is 1/2 throughout the line.

All three points are on the same line so they will all have the same slope.

Your answer is A. It is 1/2 throughout the line.

Answer 2

Answer: Point O, Point A, and Point B are all on the same line.

That means that if you find the slope from point O to point A, or point A to point B, or point O to point B, they will all have the same slope.

That eliminates answer choices C and D.

Point A (4,2)
Point B (6,3)

$Slope = (y_2-y_1)/(x_2-x_1) = (3-2)/(6-4) =(1)/(2)$

Your final answer is A. It is 1/2 throughout the line

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What total length of ribbon is needed to Line the two long sides of the hat?

Answers

Answer:

Total length of ribbon to line the long sides will be 22 in

Step-by-step explanation:

In the given figure of kite if we draw a line "h" vertically will form two right angle triangles.

Then by applying Pythagoras theorem in both the triangles.

h²= (3x + 5)² + (2x + 1)² ------(1)

h²= (5x + 1)² + 5² ------(2)

By equating both the equations

(3x + 5)² + (2x + 1)² = (5x + 1)² + 25

9x² + 25 + 30x + 4x² + 4x + 1 = 25x² + 10x + 1 + 25

13x² + 34x + 26 = 25x² + 10x + 26

13x² - 25x² + 34x - 10x + 26 - 26 = 0

- 12x² + 24x = 0

12x² - 24x = 0

x² - 2x = 0

x(x - 2) = 0

x = 2

Now we will put x = 2 in the measure of sides of the kite.

Side 1 = (3x + 5)

= 3×2 + 5

= 11

Side 2 = (5x + 1)

= 5×2 + 1

= 11

Side 3 = (2x + 1)

= 2×2 + 1

= 5

Therefore, Total length of ribbon to line the long sides will be = 11 + 11

= 22 in.

Your answer will be D-22.

I do not get please help!!

Answers

Dominic: $2(3)/(4)$
Rachel : $1 (1)/(3)$ as long
How long Rachel worked:

$2(3)/(4) = (11)/(4)$
$1 (1)/(3)$ = $(4)/(3)$

$(11)/(4)$ × $(4)/(3)$
$(44)/(12)$ = $3 (2)/(3)$

The answer is C. $3(2)/(3)$

What is the ratio of ounces to pounds in the weight of an object

Answers

Answer:

1 : 0.0625

Step-by-step explanation:

We are asked to find the ratio of ounces to pounds in the weight of an object.

We know that 1 pound equals 16.

Ratio of pound to ounce= 1 : 16

To find the ratio of ounces to pounds, we will divide 1 by 16.

$(1)/(16)=0.0625$

Ratio of ounce to pound= 1 : 0.0625

Therefore, our required ratio is 1 : 0.0625.

1 Pound = 16 Ounces
1 Ounce = 0.0625 Pounds

When two angles areadded together, they
form a 90° angle. One
of the angles is 1/2 the
other. How large Is the
smaller angle?

Answers

Answer:

30 degrees

Step-by-step explanation:

this can be expressed by x+y=90.

1/2y=x

multiply both sides by two to isolate y

y=2x

now sub in 2x for y in the first equation

x+2x=90, 3x=90, divide both sides by 3 to isolate x,

x=90/3=30

now subtract the value of x from 90 to find y

90-x=y, 90-30=y, 60=y

the smaller angle is 30 degrees.

the length of a rectangle is 2 cm more than the width. if the area of the rectangle is 24 cm2 what is the length of the rectangle?

Answers

Answer: The length is 6 and thw wodth is 4

Step-by-step explanation:

If you find two numbers that multiply to 24, you have three sets of numbers, but 6 and 4 are the only numbers that are two centimeters apart

Final answer:

The question is about finding the length of a rectangle. By creating and solving a quadratic equation with provided information, the width and length of the rectangle are 4 cm and 6 cm respectively.

Explanation:

The problem involves finding the length of a rectangle. To solve this, we need to consider the fact that we know information about the dimensions and area of the rectangle. The area of a rectangle is obtained by performing the multiplication of the length and the width. In this specific problem, it's stated that the length is 2 cm more than the width, and we also know that the area of the rectangle is 24 cm2.

Let's represent the width by x. Therefore, the length would be x+2. Since the area is the length multiplied by the width, we create the equation x*(x+2) = 24, which simplifies to x2+2x=24. Subtracting 24 from both sides, we get x2+2x-24 = 0.

This a quadratic equation and we'll solve for x using the quadratic formula, which results in x = 4 or x = -6. Since the width cannot be negative, x = 4 cm. After this, substitute the width (x) into the length equation. The length (x + 2) is 4 cm + 2 cm = 6 cm.

Learn more about Solving Quadratic Equations here:

brainly.com/question/32403169

#SPJ2

What is the answer and what are the steps to solving it?

Answers

Let's solve your equation step-by-step.
7=−16t+16t+3
Step 1: Simplify both sides of the equation
.7=−16t+16t+3
Simplify: (Show steps)7=3
Step 2: Subtract 7 from both sides.
7−7=3−7

0=−4(no answer)

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