$200 at 15.5% for 2 years

Angles theorem and Reflexive property of congurence

The solution is

Each diagonal of a parallelogram separates it into two congruent triangles

So , ΔABC ≅ ΔCDA

Opposite angles are congruent

So , ∠B ≅ ∠D

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be ABCD

Now , AC is a diagonal of the parallelogram

According to the postulates of parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

And ,

From the figure , we can deduct that ΔABC ≅ ΔCDA by

Angle A is congruent to angle C, and angle D is congruent to angle B

So , from congruent triangle theorem ΔABC ≅ ΔCDA

And ,

∠B ≅ ∠D

Because Opposite angles are congruent of a parallelogram

Hence , Each diagonal of a parallelogram separates it into two congruent triangles

So , ΔABC ≅ ΔCDA

Opposite angles are congruent

So , ∠B ≅ ∠D

To learn more about parallelogram click :

https://brainly.com/question/23488153

#SPJ2

Answer:

The answer is 27%, 6/22, and 3/11.

Pls mark brainliest. :D

Answer:

1

Step-by-step explanation: i am not sure

Answer:

5:6

Step-by-step explanation:

175/210

Divide both sides by 5

175/5 : 210/5

35 : 42

Divide both sides by 7

35/7 : 42/7

5 : 6

The ratio of 175 and 210 in its simplest form is; 5:6

What Is a ratio

A ratio is the simplest form to which the quotient of two numbers can be represented.

The ratio of 175 and 210 can be evaluated by considering their HCF, highest common factor.

Hence, the ratio of 175 and 210 is ; 5:6

Read more on ratios;

https://brainly.com/question/13513438

Therefore, the class will need 8 yards.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Answer:

Length = 16 inches and width = 12inches

Step-by-step explanation:

A = 192 in² . The width is 4 + 1/2x.  therefore let x = length

Area = LW

192 =  x(4 + 1/2 x)

192 = 4x + 1/2x²      

384 = 8x  + x²                            Multiply each term by 2 to make a  

384 + 16 =  x² + 8x + 16              Complete the square

400 = (x  + 4)²        

[tex]\sqrt{400} = \sqrt{(x + 4)^2}[/tex]

± 20 = x + 4

20 = x + 4  or  -20 = x + 4

20 - 4 = x     or  -20 - 4 = x

    16 = x   or   -24 = x   reject the negative amount

   Length = 16

   width = 4 + 1/2(16);   4 + 8 = 12

131° is the right answer

Step-by-step explanation:

the supplementary angle to 139° (left of that angle, still under the red l line) is 180 - 139 = 41°.

therefore,

A = 180 - 90 - 41 = 49°.

B is the supplementary angle to A.

B = 180 - 49 = 131°

remember, the sum of all angles around one point on one side of a line is 180° (that is called supplementary angles).

and the sum of all angles in a triangle is always 180° too.

Answer:

parallelogram is the answer

Answer:

Step-by-step explanation:

The quadrilateral is a parallelogram ( more precisely is the rhombus )

Answer:

c and e

Step-by-step explanation:

[tex]-7-(-12) = -7 +12 = 12 +(-7)[/tex]

Answer:

y=4/9x-5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-(-5))/(9-0)

m=(-1+5)/9

m=4/9

y-y1=m(x-x1)

y-(-5)=4/9(x-0)

y+5=4/9(x)

y+5=4/9x

y=4/9x-5

Answer:

The chance of anding on A for one spin is 90+45360=38. So the probability of that happening twice in a row is 38×38=964.

Step-by-step explanation:

hope this helps you mark me brinilylist

45

since x=9 plug in 9 into the equation to get

4(9)+9

multiply 4(9) to get

36

Then add 9

which then equals 45

Answer:

answer is 45

Step-by-step explanation:

4×9=36

36+9=45

Answer:

The answer is B

Step-by-step explanation:

You need to find the derivitive of the equation and ,ultiply by B!!!

Answer:

a=7

b=11

Step-by-step explanation:

4a=3a+7

-3a -3a

a=7

2b=b+11

-b -b

b=11

sides parallel from eachother in a parallelogram are equal to eachother.

Answer:

$6.5 dollars

Step-by-step explanation:

We can make an equation to find out the original total.

2y+4=17

(subtract 4 from both sides)

2y=13

(divide by 2)

y=6.5

Hope this helped :D

1 ,3, 1

The first one is 1 the second is 3 and the last one is 1

Answer:

1) 32/7

2) 7/5

3) 13/4

4) 32/15

5) 19/2

6) 57/14

Step-by-step explanation:

Use a calculator and/or multiple the coefficients with the value of the denominator then add it to the numerator and multiply.

Answer:

4k+11

Step-by-step explanation:

There you go. Happy to help.

Answer:

{x| -2 ≤ x < 5}

Step-by-step explanation:

The domain is the x value in a graph, function e.t.c. From the farthest point to the left of the x-axis, we see -2. And from the farthest point to the right of the x-axis, we see 5. Therefore, the domain is {x| -2 ≤ x < 5}, Option C

Look here for visuals:

The domain of the step function g(x) is (c) {x I -2 <= x <5 }

The domain of a function is the set of input values the function can take.

From the graph, the x-values begin as -2 with a closed circle, and it ends at 5 with an open circle

The open circle means that -5 is not part of the domain, while the closed circle means that -2 is inclusive of the x-values

Hence, the domain of the step function g(x) is (c) {x I -2 <= x <5 }

Read more about domain at:

https://brainly.com/question/1770447

Answer:

Step-by-step explanation:

Let the number of notes is x.

20% of notes is:

40% of the remainder is:

Remaining notes are:

Total of the notes:

Answer:

Step-by-step explanation:

X + Y =  28500 (Equation 1).

1.11X + .9Y = 29010 (Equation 2).

Answer:

... ................................

Step-by-step explanation:

I cannot draw here, but I can show and tell you how to find 2 points of the individual lines that you can then mark on the chart and draw the line through them.

1)

y = 7/2 x - 2

so, the first and easiest point is the y-intercept (where x = 0).

x = 0, therefore, y = -2

so, the first point is (0, -2)

for the second point : what value of x would eliminate the fraction and make this whole integer number calculations ?

well, x = 2 !

so,

y = 7/2 × 2 - 2 = 7 - 2 = 5

and our second point is (2, 5)

2)

y = -6x + 3

the same principles. first x = 0, therefore y = 3

the first point is (0, 3)

for the second point we can choose any integer x, as all the other terms are integer too.

let's pick x = 1

y = -6×1 + 3 = -6 + 3 = -3

so, the second point is (1, -3)

3)

y = -5

this just means that for every possible value of x the resulting y value is -5.

that means it is a horizontal line through y = -5 or (0, -5)

4)

y = 6/5 x + 1

the same principles. x = 0, therefore y = 1

the first point is (0, 1)

for the second point, again, what x eliminates the fraction and makes all an integer operation ?

well, x = 5.

y = 6/5 × 5 + 1 = 6 + 1 = 7

ok, 7 is off the chart, so let's use x = -5 instead.

y = 6/5 × -5 + 1 = -6 + 1 = -5

so, the second point on the chart is (-5, -5)

Answer:

32 degrees

a triangle is = to 180 degrees

Answer:

4 times because they will have the common number of 15 and since there is 60 seconds in a minute you would divide 60 by 15, and that equals 4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It has a negative slope and it crosses the y axis at -1

Answer:

8 1/3 liters

Step-by-step explanation:

create a proportion from water : yard

let 'y' = water for entire yard

5/3 ÷ 1/5 = y ÷ 5/5

5/3 · 5/1 = y/1

25/3 = y/1

3y = 25

y = 8 1/3