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3 years ago

How do I do this?? TnT

Mathematics

1 answer:

Brums [2.3K]3 years ago

7 0

Answer:

x = 4

Step-by-step explanation:

Corresponding angles are congruent

4x + 44 = 6x + 36

44 = 2x + 36

8 = 2x

x = 4

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Quadrilateral ABCD is located at A(−2, 2), B(−2, 4), C(2, 4), and D(2, 2). The quadrilateral is then transformed using the rule

kap26 [50]

For each point, add 7 to the x coordinate and take away 1 from the y-coordinate.

I am using a "tick-mark" to show the corresponding point, after "translation" (movement in a straight line). 

A(-2, 2) becomes A'(5, 1) 

Because all points have been translated in a straight line, in the same direction (the direction [7 -1]) by the same distance, the new figure A'B'C'D' will have the same shape, same size and same orientation as the original image. 

It will simply be in a different location on the graph. 

If you were to join A with A', B with B', and so on, you would see that all 4 vectors are parallel and are of equal length. 

If you were to compare the segment AB (side AB of the original quadrilateral) with the segment A'B' (in the new quadrilateral), you would see that they are parallel (same slope) and have the same length. 
Same with the other sides. 

Tow figures that are identical (except for their location) are said to be "congruent". 

--- 

The new rectangle will be far to the right (7 units in x) and a bit below (-1 in y) from the old one. 

You should draw the two figures on a graph, and you will see a lot of this very clearly.

8 0

3 years ago

Read 2 more answers

How to find the volume of the cone

gavmur [86]

Answer:

The closest measurement to the volume of hat is 84.82 in.³.

Step-by-step explanation:

Given:

The dimensions of hat are height(h) 9 inches and diameter(d) 6 inches.

Now, to find the volume of cone:

Putting the formula $\frac{1}{3}\pi r^{2}h$ .

Radius(r) is not given, finding the radius:

Radius(r)=half of the diameter(d)

$r=\frac{d}{2}$

$r=\frac{6}{2}$

$r=3$ .

Then, $\frac{1}{3}\pi r^{2}h$

= $\frac{1}{3}\times\pi \times3^{2}\times9$

= $\frac{1}{3}\times3.14\times9\times9$ ( $\pi =3.14$ )

= $\frac{1}{3} \times254.34$

= $\frac{254.34}{3}$

= $84.78$ in.³

So, the volume is 84.78 in.³ .

Therefore, the closest measurement to the volume of hat is 84.82 in.³.

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3 years ago

Heron’s formula: Area = An equilateral triangle has a semiperimeter of 6 meters. What is the area of the triangle? Round to the

nordsb [41]

Answer:

7 m^2

Step-by-step explanation:

$s = \dfrac{a + b + c}{2}$

$A = \sqrt{s(s - a)(s - b)(s - c)}$

$s = 6$

$\dfrac{a + b + c}{2} = 6$

$a = b = c$

$\dfrac{a + a + a}{2} = 6$

$3a = 12$

$a = b = c = 4$

$A = \sqrt{6(6 - 4)(6 - 4)(6 - 4)}$

$A = \sqrt{6(2)^3$

$A = \sqrt{48}$

$A = 6.92820...$

$A = 7~m^2$

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3 years ago

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Round 54.36 to the nearest tenth

Basile [38]

Answer:

Step-by-step explanation:

54.3

4 0

3 years ago

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viva [34]

Please read "Step-by-step" if you're having trouble

Answer:

x²(1- $\frac{1}{4}$ $\pi$ )

Step-by-step explanation:

Each side of the cookie dough is x long, since there is no given number, the diameter of the plate is also x, its as long as the square is wide, making the radius 1/2x.

The area of the cookie dough is x², the area of the plate is 1/4 $\pi$ x².

You have the equation x²- $\frac{1}{4}$ $\pi$ x²the equation has a Greatest Common Factor of x² so your factored equation is x²(1- $\frac{1}{4}$ $\pi$ )

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3 years ago