MATHEMATICS MIDDLE SCHOOL

A polygon has the following coordinates: A(4,2), B(-3,2), C(-3,5), D(4,5). Find the length of DA.A.
4 units
B.
C.
2 units
3 units
D.
5 units
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Answers

Answer 1

Answer:

Option C: 3 units is the length of DA

Explanation:

The coordinates of a polygon ABCD are $A(4,2), B(-3,2), C(-3,5), D(4,5)$

We need to find the length of DA

The length of DA can be determined using the distance formula,

$d=√((x_2-x_1)^2+(y_2-y_1)^2)$

Let us substitute the coordinates $A(4,2)$ and $D(4,5)$ in the distance formula, we get,

$d=√((4-4)^2+(5-2)^2)$

Subtracting the terms within the bracket, we have,

$d=√((0)^2+(3)^2)$

Squaring the terms, we get,

$d=√(0+9)$

Adding the terms, we have,

$d=√(9)$

$d=3 \ units$

Thus, the length of DA is 3 units.

Hence, Option C is the correct answer.

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Find the the supplementary angle of 128.9

Answers

The supplementary angle is 51.1 degrees

Segment AB has endpoints A(–4, 6) and B(1, 4). After a dilation, centered at the origin, the image of A is (–6, 9). Without measuring the distance, explain how you could find the image of B.

Answers

Answer:

see the explanation

Step-by-step explanation:

step 1

Find the scale factor of the dilation

Divide the x-coordinate or the y-coordinate of the image by the the x-coordinate or the y-coordinate of the pre-image

$(-6)/(-4)=1.5$

$(9)/(6)=1.5$

step 2

Multiply the coordinates of point B by the scale factor to obtain the image B'

B'(1.5*1,1.5*4)

B'(1.5,6)

Answer:

To find the image of B, first find the scale factor for the dilation. The scale factor should be greater than 1 because the image of A is farther from the origin than A. Divide the coordinates of the image of A by the coordinates of A: –6/–4 = 3/2 and 9/6 = 3/2, so the scale factor is 3/2. Now, apply the dilation to B by multiplying the coordinates by 3/2 to get ((3/2)(1), (3/2)(4)), or (3/2, 6).

Step-by-step explanation: its the sample response

Someone plz explain!

Answers

Answer:

18° and 72°

Step-by-step explanation:

Complimentary angles form 90°

We have an angle (x) 4 times larger than the other (y).

Well actually, a system of equations isn't required, so forget about x and y, just divide 90 by 5. This gives you 18, one of the angle's measurements is 18°. Multiply 18 by 4 and get 72. The other angle's measurement is 72°.

Fred bought six dozen eggs at the grocery store to bake some cakes. How many eggs did Fred buy?

Answers

Answer:

72 eggs

Step-by-step explanation:

1 dozen=12

6 dozen=12*6=72

Answer:

Step-by-step explanation:(the answer is 12 dozens

Angela paints a wall that has an area of 42 2/3 square yards. She uses 1 1/3 gallons of paint. What is Angela's rate of paint coverage in square yards per gallon

Answers

yards= 42 2/3 yd=42 + 2/3 yd=(42*3 + 2)/3 yd=128/3 yd
Gallons=1 1/3 Gallons=1+1/3 gallons=(3*1+1)/3 gallons=4/3 gallons.

Rate=number of yards / number of gallons.
Rate=(128/3 yd) / (4/3 gallons)=32 yd/gallon.

Answer: Angela´s rate=32 yards / gallons

Answer:Angela´s rate=32 yards / gallons

Step-by-step explanation:

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