A blouse that regularly sells for 28.50 is on sale for one third what is the sale prices

To find the area of parallelogram RSTU, Juan starts by drawing a rectangle around it. Each vertex of parallelogram RSTU is on a

STatiana [176]

Answer:

The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085

Step-by-step explanation:

The given parameters are;

The coordinates of parallelogram RSTU are;

R(-4, -3), S(-5, 1), T(4, 3), U(5, -1)

The lengths of the sides are (using an online length calculator);

RS = 4.1231

RT = 10

ST = 9.2195

SU = 10.198

TU = 4.1231

UR = 9.2195

Therefore, by definition of a parallelogram, we have;

RS║TU and ST║UR

The slope of RS = (1 - (-3))/(-5 - (-4)) = -4

The slope of ST = (3 - 1)/(4 - (-5)) = 2/9

The equation of the line perpendicular to ST is therefore;

y - 1 = -9/2×(x - (-5))

y = -9x/2 - 43/2

The equation of RS = y - (-3) = 1/4×(x - (-4)) = x/4 + 1

y = x/4 - 2

The point where the two lines meet is therefore;

-9x/2 - 43/2 = x/4 - 2

x = -78/19

y = -115/38

The length of the side of the rectangle = 4.1245

The excess width of the rectangle = 0.1085

The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085.

6 0

1 year ago

Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.

Margaret [11]

Answer:

The correct option is 3.

Step-by-step explanation:

Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.

J = 90°, J' = 90°

K = 65°, K' = 65°

L = 25°, L' = 25°

In a rigid transformation the image and pre-image are congruent. Reflection, translation and rotation are rigid transformation.

In a non rigid transformation the image and pre-image are similar. Dilation is a non rigid transformation.

In a rigid or a nonrigid transformation, the corresponding angles are same. If the corresponding sides are same, then it is a rigid transformation and if the corresponding sides are proportional, then it is a non rigid transformation.

It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.

Therefore option 3 is correct.

6 0

2 years ago

Read 2 more answers

Daisy measured the heights of 20 plants.

sergiy2304 [10]

Answer:

30.5 cm

Step-by-step explanation:

<em>Refer to attached</em>

Height of plants (h) >> Frequency >> Midpoint >> Frequency x midpoint
0 <h < 10 >> 1 >> 5 >> 5
10 <h < 20 >> 4 >> 15 >> 60
20 <h < 30 >> 7 >> 25 >> 175
30 <h < 40 >> 2 >> 35 >> 70
40 <h < 50 >> 3 >> 45 >> 135
50 <h < 60 >> 3 >> 55 >> 165

Sum of frequencies = 20

Sum of frequency x midpoint product = 610

<u>Mean height </u>

610/20 = 30.5 cm

5 0

2 years ago

To help answer this question, Diego wrote the equation 3/4 divided by 2/5. Explain why this equation does not represent the situ

marissa [1.9K]

<h3>Number of minutes in 3/4 of an hour is : </h3>

<h3>n = 3/4 × 60 = 45 minutes. </h3>

<h3>Now, If it continues to rain at that rate for 15 more minutes : </h3><h3> </h3><h3>So, time taken = 45 + 15 min = 1 hour. </h3><h3> </h3><h3>Let, rain gauge is filled x fraction in 1 hour. </h3>

<h3>Hence, this is the required solution.</h3>

4 0

2 years ago

Find the volume of a regular tetrahedron whose altitude measures 10cm.

Marina CMI [18]

H = 10 cm, a - edge;
V = 1/3 a²√3 / 4 * h
h² = ( 2/3 * a√3 / 2 )² + a²
100 = a²/3 + a²
100 = 4 a² / 3
a² = 75
a = √75
a = 5 √3 cm
V = 1/2 * 75√3 / 4 * 10 = 250√3 / 4 = 62.5√3 cm³ ≈ 108.25 cm³

5 0

2 years ago