Supplementary angles
A
always add up to 180 degrees.

B
always add up to 90 degrees.

C
are across from each other.

D
are congruent.

Answer:

Step-by-step explanation:

Coordinates of the vertices of the triangle are,

M(-2, 5), N(3, 2) and L(-2, 1)

Rule for the rotation of a point (x, y) 90° counterclockwise about the origin ,

(x, y) → (-y, x)

That means coordinates of a point (x, y) becomes (-y, x) after the rotation of 90° counterclockwise about the origin.

Following this rule,

M(-2, 5) → M'(-5, -2)

N(3, 2) → N'(-2, 3)

L(-2, 1) → L'(-1, -2)

Now we can draw the image triangle M'N'L' with the help of these image points.

Answer: Section A holds 27500 , Section B has 14100 and SEction C has 13400.

Step-by-step explanation:

Let x= Number of seats in section A.

y = Number of seats in section B.

z= NUmber of seats in sectionC.

As per given , we have

x+y+z=55000           (i)

x= y+z                (ii)

28x+16y+12z=1156400          (iii)

Substitute value of x from (ii) in (i), we get

[tex]x+x=55000\\\\\Rightarrow\ 2x=55000\\\\\Rightarrow\ x=27500[/tex]

From (i)

[tex]27500+y+z=55000\\\\\Rightarrow\ y+z=55000-27500\\\\\Rightarrow\ y+z=27500 \ \ \ (iv)[/tex]

From (iii), we get

[tex]28(27500)+16y+12z=1156400 \\\\\Rightarrow\ 770000+16y+12z=1156400\\\\\Rightarrow\ 16y+12z=386400\\\\\Rightarrow\ 4y+3z=96600 \ \ \ \ (v)[/tex]

Multiply 3 to (iv), we get

[tex]3y+3z=82500\ \ \ \ (vi)[/tex]

Eliminate (v) from (iv), we get

[tex]y=14100[/tex]

from (iv)

[tex]14100+z=27500\\\\\Rightarrow\ z=13400[/tex]

Hence, Section A holds 27500 , Section B has 14100 and SEction C has 13400.

Answer:

3 minutes

Step-by-step explanation:

To find how many minutes it will take to play the whole song, multiply 1/5 by 15

15(1/5)

= 3

So, it will take 3 minutes to play the whole song

Answer:

Time taken to complete whole song

Let the time taken be x

Now,

x = 1/5 of 15

x = 15/5

x = 3 min

Step-by-step explanation:

[tex] \\ [/tex]

Answer:

Interest wil be 10% of 100  which is 10

So,

interest will be Rs.10

and total amount to be payed will be 100+10 which is Rs.110

Answer:

Interest is Rs.10

Step-by-step explanation:

Interest of Rs.100 on 10 p.c.p.a is 10% of 100

i.e., 100*10/100 = 10

Thus we have 10 as the interest

Answer:

x=20

Step-by-step explanation:

The two angles added together make 180

3x-10 +5x+30 = 180

8x +20 = 180

8x = 160

x=20

Answer:

DE = 4cm.

Step-by-step explanation:

The Isoscles Triangle Theorem says that:

"If two sides of a triangle are congruent, then angles opposite those sides are congruent."

The converse of this theorem is

"If angles opposite those sides are congruent, then two sides of a triangle are congruent."

Therefore, since ∠F is congruent to ∠D and are opposite sides ED and EF

while EF = 4 cm and DF = 5 cm.

DE = 4cm.

Answer:

what are we soposed to do?

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

Discount = (new price - initial price) / initial price

= (20 - 25) / 25 = -5 = -0.2 = -20%

Answer:

m = -4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

8 - 3(1 - m) = -7

Step 2: Solve for m

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

125x125

125=5x5x5

125x125=5x5x5x5x5x5=5 to the power of 6

108* tomato

72*green bean plants

36*pepper

86.4*zucchini

57.6*cucumber

Answer:

y=-4x-2

Step-by-step explanation:

With the equation provided, you can plug in the 3 or -4 into the x-value, and will get the corresponding y-value.

Hope this helps!

Answer:

the first choice

Step-by-step explanation:

[tex] - 5 {x}^{2} + 7x + 3[/tex]

Step-by-step explanation:

make a pen house for the dogs, at your friend place feed them this night

Answer:

80 in^2 or 80 square inches

Step-by-step explanation:

Area of the top triangle=

1/2*4*4

8 square inches,

Area of the square=

4*4

16 square inches

Area of the rectangle=

4*8

32 square inches

Area of both bottom triangles=

2(1/2*3*8)

24 square inches

add them up and you get

Answer:

8 out of 50 students will walk.

Step-by-step explanation:

8 + 30 + 9 + 3 = 50

8 students will walk.

8/50

Brainlist pls!

Answer:

About 16%

Step-by-step explanation:

Out of the first 50 students surveyed, 8 of them walk to school. 8/50 is equal to 0.16 or 16% of the students asked. Based off of that sample size, that would be the probability of the next student walking to school.

Answer:

0.4

Step-by-step explanation:

You need to divide the 6 by 15 in order to get 0.4.

Ratios, fractions, decimals, and percentages are all pretty much each other, as ratios are just fractions but sideways with the colon in between the numbers. Ratios are to show a relationship, as well as the others. Fractions and ratios are decimals, as you can just simplify them into decimals. Percentages are just decimals but with the decimal moved over to the left twice. So 0.43 becomes 43%.

1.49 becomes 149%

0.00432 becomes 0.432%

Answer:

D

Step-by-step explanation:

The slope always comes before the x, and the y-intercept comes last when in slope intercept form. In this case, you would get y=5x-1/2.

3x-12y=216

-3x. -3x

-12y=216-3x

÷-12. ÷-12

Y= -18+1/4x

I think

Answer:

4th one probs

Answer: 44 dollars

Step-by-step explanation:

Answer:

Step-by-step explanation:

T = $3b

Answer:

[tex]10 \sqrt{3} [/tex]

Answer:

Angle Bisector Construction

Step-by-step explanation:

The line in the center of the angle is bisecting said angle.

Answer: 2x + 3y = 35

Step-by-step explanation:

Let x = number of daisies

Let y = number of tulips

Since one sister likes daises which costs $2.00 per stem and the other likes tulips which costs $3.00 per stem, the inequality that could be use to determine how many of each flower he could buy if he only has $35.00 to spend will be:

2x + 3y = 35

Answer:

x = -9

Step-by-step explanation:

2x + 8( x + 3 ) = 3( x - 13 )

Dstribute;

2x + 8 ( x + 3 ) = 3 ( x - 13 )

2x + ((8)(x)) + ((8)(3)) = ((3)(x)) - ((13)(3))

2x + 8x + 24 = 3x - 39

Combine like terms;

2x + 8x + 24 = 3x - 39

10x + 24 = 3x - 39

Inverse operations;

10x + 24 = 3x - 39

-3x            -3x

7x + 24 = -39

     -24     -24

7x = - 63

/7       /7

x = -9

Answer: $3.49

Step-by-step explanation:

Earnings per share shows how much of the profit of the company every share will get.

You can use it to calcutae the P/E ratio through the following formula:

P/E ratio = Share price / Earnings per share

15.17 = 52.93 / EPS

EPS * 15.17 = 52.93

EPS = 52.93 / 15.17

= $3.49