Need help with these proofs asap i have a 58 in geometry cuz of proofs ;c

Working alone, Jack can do a puzzle in 5 hours. With his brother's help, the two can do the same puzzle in 2 hours. How long wou

Ulleksa [173]

Answer:

3 hours

Step-by-step explanation:

5 - 2 = 3

8 0

3 years ago

Read 2 more answers

Which is the best estimate for the diagonal of a rectangle with a width of x and a length of 2x, if x is 1.33?

german

The best estimate for the diagonal of the rectangle is 3 ⇒ B

Step-by-step explanation:

In a rectangle:

The length and the width are perpendicular
The length of its diagonal = $\sqrt{(length)^{2}+(width)^{2}}$ (the diagonal is the hypotenuse of a right triangle whose legs are the length and the width of the rectangle)

∵ The width of a rectangle = x

∵ The length of the rectangle = 2x

∵ The diagonal = $\sqrt{(length)^{2}+(width)^{2}}$

- Substitute the length by 2x and the width by x

∴ The diagonal = $\sqrt{(2x)^{2}+(x)^{2}}$

∴ The diagonal = $\sqrt{4x^{2}+x^{2}}$

∴ The diagonal = $\sqrt{5x^{2}}$

∵ x = 1.33

- Substitute the value of x by 1.33 to find the diagonal

∴ The diagonal = $\sqrt{5(1.33)^{2}}$

∴ The diagonal = 2.973

∴ The diagonal ≅ 3

The best estimate for the diagonal of the rectangle is 3

Learn more:

You can learn more about the rectangles in brainly.com/question/13084321

#LearnwithBrainly

6 0

3 years ago

The diameter of a circle has length 12. The center is at*(-5, 2). Give the equation

labwork [276]

Answer:

Equation of the circle is : $x^{2} + 10x + y^{2} -4y -7 =0$

Step-by-step explanation:

Let us consider the image attached in the answer area.

The center O has the co-ordinates i.e. (-5,2) and the diameter given is 12 units.

We know that radius is half of diameter.

$\text{Radius = }\dfrac{\text{Diameter}}{2}$

$\text{Radius = }\dfrac{12}{2}\\\Rightarrow \text{Radius = 6units}$

The equation for circle given the center and radius, can be represented as:

$(x-a)^{2}+ (y-b)^{2} = r^{2}$

Where (a,b) is the co-ordinate of center and r is the radius.

Let us consider the following formula:

$(p+q)^2 = p^{2}+ q^{2} +2pq\\(p-q)^2 = p^{2}+ q^{2} -2pq$

$(x-(-5))^{2}+ (y-2)^{2} = 6^{2}\\\Rightarrow (x+5)^{2}+ (y-2)^{2} = 36\\\Rightarrow x^{2} + 25 + 10x +y^{2} + 4-4y=36\\\Rightarrow x^{2} + 10x +y^{2} -4y-7=0$

Hence, Equation of the circle is : $x^{2} + 10x + y^{2} -4y -7 =0$

4 0

3 years ago

MN =7. Find AB. 3.5 10.5 14

Luda [366]

The length of line segment AB by observation if the diagram in the task content is; 14.

<h3>What is the length of line segment AB?</h3>

It follows from the task content that the line segment MN can be considered as parallel to line segment AB. This follows from the fact that the vertices of triangle MNO are midpoints of the line segments of triangle ABC.

Consequently, it can be concluded that line segment AB is twice the length of line segment MN and hence, BC = 2 × 7 = 14.

Read more on triangle line segments;

brainly.com/question/3573606

#SPJ1

8 0

2 years ago

Write the number in standard notation.

viva [34]

1.14×10^3 = 1.14 x 1,000 = 1, 140

answer
1,140

7 0

3 years ago