Lucas wants to prove that the base angles of any isosceles triangle are
congruent. He has drawn ADEF as shown. Which choice shows a segment
that does NOT subdivide ADEF into two congruent triangles?

Answer:

Given that Naomi and Hudson work at a dry cleaners ironing shirts, and Naomi can iron 35 shirts per hour, while Hudson can iron 20 shirts per hour, knowing that Naomi and Hudson worked a combined 13 hours and ironed 395 shirts, to write a system of equations that could be used to determine the number of hours Naomi worked and the number of hours Hudson worked, the following logical reasoning should be performed:

Naomi, working 13 hours, can iron up to 455 shirts (13 x 35), with which, every hour that Hudson has worked and she does not imply a decrease of 15 ironed shirts. Since 455 - 395 equals 60, and 60/20 equals 3, it is determined that Hudson worked 3 hours, while Naomi worked 10 hours.

Thus, the proposed inequality would be the following:

35Y + 20X = 395

Answer:

Step-by-step explanation:

Circle Standard Form

The standard form of a circle's equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius. To convert an equation to standard form, you can always complete the square separately in x and y.

Answer:

$79.20

Step-by-step explanation:

to find markup just multiply 72 by 110%. Conver 110% to a decimal, which is 1.1 Then multiply 72 by 1.1 = 79.2

So the markup amount is $79.20

Answer:

this is your answer..

OK hope this is k

helpful for you.

Answer:

380

Step-by-step explanation:

10%->38

100%-> 38÷10×100=380

Answer:

4:5

Step-by-step explanation:

You are doing ratios

Answer:

an isosceles triangle

Step-by-step explanation:

it has two equal sides so this is isosceles triangle

Answer:

176 cm2

Step-by-step explanation:

la formula es b×a/2, entonces multiplica 22×16= 352 y los divides entre 2= 176 centímetros cuadrados

Answer:

16[tex]t^{2}[/tex] + 2t - 6

Step-by-step explanation:

[tex](12t^{2} + 5t -y) - (-4t^{2} + 3t -1)[/tex]

simplify

[tex]12t^{2} + 5t -7 +4t^{2} -3t +1[/tex]

combine like terms

16[tex]t^{2}[/tex] + 2t - 6

Answer:

The width of Dana's living room is 16 feet.

Explanation:

Because Dana's living room is rectangular and we are given the length of one side and the length of the diagonal we can use the Pythagorean Theorem to solve this problem.

For a right triangle which the length, width and diagonal make up the Pythagorean Theorem states:

a

2

+

b

2

=

c

2

Let the length of 12 be

a

and because the diagonal is the hypotenuse of the triangle (the side opposite the right angle) we let

c

be 20. Substituting and solving gives:

12

2

+

b

2

=

20

2

144

+

b

2

=

400

144

−

144

+

b

2

=

400

−

144

0

+

b

2

=

256

b

2

=

256

√

b

2

=

√

256

b

=

16

Answer:  4 1/2 - 1 11/12 = 2 1/3 but in decimal form 2.3

Answer:

Step-by-step explanation:

2ft

Answer:

Step-by-step explanation:

Area of base = πr² = 25π sq cm

Volume = πr²h = 300π cu cm

Answer:

the top answer

Step-by-step explanation:

Answer:

8.5

Step-by-step explanation:

Given the equation :

3.2(x - 6.7) = 5.76

x - 6.7 = 5.76 / 3.2

x - 6.7 = 1.8

x = 1.8 + 6.7

x = 8.5

Answer:

8.5

Step-by-step explanation:

Answer:

6 batches

Step-by-step explanation:

Answer:

the answer is 8/3  u have to mutplay

Step-by-step explanation:

Answer: like math equations that equal twenty?

Step-by-step explanation:

.5 times 40

4 times 5

2 times 10

3 times 6.2/3

Just to name a few

Answer:

4 times 5

the square root of 400

10 plus 10

2 to the 2nd power plus 4

30 minus 10

40 minus 20

50 minus 30

the absolent value of -20

5 to the 2nd power minus 5.

Step-by-step explanation:

Hope it Helps?

Answer:

Start by plotting the y-intercept which is (0, b).

Find another point using the slope (m) with the y-intercept at the reference point.

Connect the two points with a ruler.

Step-by-step explanation:

Answer:

assuming ABCD is a parallelogram angleB+angleA=180°

Step-by-step explanation:

118°+2x+7+9x-33=180

125+11x-33=180

92+11x=180

11x=180-92

11x=88

x=88/11

x=8

✌

B 5 1/2

Hope it helped!!!

Complete Question:

The deck that Amos is building is in the shape of a parallelogram, DGRY.  The measure of D is five-halves the measure of Y. Find the measure of  each angle of the deck.

Answer:

[tex]\angle G = \angle Y = 51.43 ^{\circ}[/tex]

[tex]\angle D = \angle R = 128.57 ^{\circ}[/tex]

Step-by-step explanation:

Given

Shape: Parallelogram DGRY

Dimension: [tex]\angle D = \frac{5}{2}\angle Y[/tex]

Required

Find the measure of each angle

D and R are opposite sides & G and Y are also opposite sides.

So, we have:

[tex]\angle D = \angle R = \frac{5}{2}\angle Y[/tex]

and

[tex]\angle G = \angle Y[/tex]

The sum of angles is given as:

[tex]\angle D + \angle G + \angle R + \angle Y=360^{\circ}[/tex]

Substitute values for [tex]\angle D, \angle G \ \& \angle R[/tex]

[tex]\frac{5}{2}\angle Y + \frac{5}{2}\angle Y + \angle Y + \angle Y = 360^{\circ}[/tex]

Take LCM

[tex]\frac{5\angle Y + 5\angle Y + 2\angle Y+ 2\angle Y}{2}= 360^{\circ}[/tex]

[tex]\frac{14\angle Y}{2}= 360^{\circ}[/tex]

Multiply both sides by [tex]\frac{2}{14}[/tex]

[tex]\frac{2}{14} * \frac{14\angle Y}{2}= 360^{\circ} * \frac{2}{14}[/tex]

[tex]\angle Y= 360^{\circ} * \frac{2}{14}[/tex]

[tex]\angle Y= \frac{ 360^{\circ} *2}{14}[/tex]

[tex]\angle Y= \frac{720^{\circ}}{14}[/tex]

[tex]\angle Y= 51.43 ^{\circ}[/tex]

So:

[tex]\angle G = \angle Y = 51.43 ^{\circ}[/tex]

[tex]\angle D = \frac{5}{2}\angle Y[/tex]

[tex]\angle D = \frac{5}{2} * 51.43^{\circ}[/tex]

[tex]\angle D = \frac{5* 51.43^{\circ}}{2}[/tex]

[tex]\angle D = \frac{257.15^{\circ}}{2}[/tex]

[tex]\angle D = 128.57 ^{\circ}[/tex]

Hence:

[tex]\angle D = \angle R = 128.57 ^{\circ}[/tex]

Answer:

Step-by-step explanation:

1 yard is equal to 3 foot

10¢= 1 foot

30¢= 1 yard

30¢ x 258 yards= $77.40

Answer:

5.5 ft ^2

Step-by-step explanation:

1.5 * 5= 5.5

Answer:

x=6

Step-by-step explanation:

The first thing you do is combine all the equations.

[tex](x-3)+(x-3)+(5x-2)=34\\7x-8=34\\7x=42\\x=6\\[/tex]

Now, with some quick algebra, you got it!

Answer:

Step-by-step explanation:

You will need to subtract the amount paid from the total amount

100 - 46.23

= 53.77

Ricardo will receive $53.77 in change. :)