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3 years ago

Someone please help :) will mark brainliest :)

Mathematics

2 answers:

Nitella [24]3 years ago

7 0

Answer:

a+b

Step-by-step explanation:

ale4655 [162]3 years ago

4 0

Answer:

option b

Step-by-step explanation:

side of larger square = a + b

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Two endpoints of the diagonal of a parallelogram are k(0,3) and l(4,1). what is the length of the diagonal

posledela

Distance = sqrt (x2 - x1)^2 + (y2 - y1)^2
(0,3).....x1 = 0 and y1 = 3
(4,1)....x2 = 4 and y2 = 1
now we sub and solve
d = sqrt (4 - 0)^2 + 1 - 3)^2
d = sqrt (4^2) + (-2^2)
d = sqrt (16 + 4)
d = sqrt 20
d = 4.472 <==

7 0

3 years ago

PLEASE HELP!!! Trapezoid ABCD was dilated to create trapezoid A'B'C'D'. Which statements are true about the trapezoids? Check al

hichkok12 [17]

Answer:

Option A , B and D are true.

The statement which are true:

The length of side AD is 4 units

The length of side A'D' is 8 units.

The scale factor is, $\frac{1}{2}$

Step-by-step explanation:

Given in figure trapezoid ABCD;

The coordinates of ABCD are:

A= (-4, 0)

B = (-2, 4)

C = (2,4)

D = (4, 0)

Since, trapezoid ABCD was dilated to create trapezoid A'B'C'D' as shown in figure;

The coordinates of A'B'C'D' are;

A' =(-2, 0)

B'=(-1, 2)

C' = (1, 2)

D' = (2, 0)

First calculate the length of AD

Using Distance formula for any two points i.e,

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Since, A = (-4, 0) and D = (4, 0)

then;

Length of AD = $\sqrt{(4-(-4))^2+(0-0)^2} = \sqrt{(4+4)^2} =\sqrt{64}=8$ units

Therefore, the length of side AD is, 8 units.

Similarly find the length of A'D'.

Where A' = (-2, 0) and D' =(2,0)

Using distance formula:

Length of A'D' = $\sqrt{(2-(-2))^2+(0-0)^2} =\sqrt{(2+2)^2}= \sqrt{4^2} = 4$

Therefore, the length of side A'D' is, 4 units.

Now, find the slope of CD and C'D'

where C =(2, 4) , D = (4, 0) , C' = (1, 2) and D' =(2,0)

using slope formula for any two points is given by:

$Slope = \frac{y_2-y_1}{x_2-x_1}$

$Slope of CD = \frac{0-4}{4-2} = \frac{-4}{2} = -2$

Similarly,

$Slope of C'D' = \frac{0-2}{2-1} = \frac{-4}{2} = -2$

Since, Sides CD and C'D' have same slope i.e, -2

Scale factor(k) states that every coordinate of the original figure has been multiplied by the scale factor.

If k > 1, then the image is an enlargement.

if 0<k< 1, then the image is a reduction.

If k = 1, then the figure and the image are congruent.

The rule for dilation with scale factor(k) is;

$(x, y) \rightarrow (kx , ky)$

To find the scale factor:

A = (-4, 0) and A' = (-2, 0)

$(-2, 0) \rightarrow (-4k , 0)$

On comparing we ghet;

-4k = -2

Divide -4 both sides we get;

$k = \frac{1}{2}$

∴ The Scale factor is, $k = \frac{1}{2}$

Since, k < 1 which implies the image is a reduction.

Therefore, the statements which are true regarding about trapezoids are;

The length of side AD is 4 units

The length of side A'D' is 8 units.

The scale factor is, $\frac{1}{2}$

6 0

3 years ago

Sal and Jen went to the store together, and each bought the same car stereo.

scZoUnD [109]

Answer: Sal used a debit card and paid a total of $324.80 for the stereo. (I took the test too)

Step-by-step explanation: Multiply $21.30 by 18 months. Then subtract the interest, $58.60, from the product because Sal paid immediately with a card which implies using a debit card. You get $324.80.

8 0

3 years ago

Please help !!!!!!!!!!! Find the value of x

viktelen [127]

Answer:

Step-by-step explanation:

7 0

3 years ago

Pedro said, "On summer vacation, I spent 3 1/2 weeks with my uncle and two weeks more with my friend than with my uncle." How ma

ladessa [460]

Answer:

Pedro spent 9 weeks with his uncle and his friend.

Step-by-step explanation:

First, you need to find the amount of weeks Pedro spent with his friend. The statement indicates that he spent two weeks more with his friend than with his uncle which means that you have to add the number of weeks he spent with his uncle plus 2, which you can show in a number line:

$3\frac{1}{2}$ 2