Subject:Mathematics ​

9514 1404 393

Answer:

  if and only if the rectangle is a square

Step-by-step explanation:

The angle bisectors of a rectangle will meet at a single point if, and only if, the rectangle is a square.

In general, a rectangle does not have an incenter.

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The incircle must be tangent to all sides of the polygon. That cannot be the case unless the rectangle has its length equal to its width. That is, it must be a square.

Answer:

y=2/3x+1

Step-by-step explanation:

because its slope is 2/3, and its y intercept is 1, (0,1)

Answer:

Monthly payment= $1,076.37

Step-by-step explanation:

Giving the following information:

$175,000 at 6.24% for 30 years.

First, we need to calculate the future value of the loan. We need to use the following formula:

FV= PV*(1+i)^n

PV= 175,000

n= 12*30= 360 months

i= 0.0624/12= 0.0052

FV= 175,000*(1.0052^360)

FV= $1,132,220

Total interest= 1,132,220 - 175,000= $957,220

Now, we can calculate the monthly payment:

Monthly payment= (FV*i)/{[(1+i)^n]-1}

Monthly payment= (1,132,220*0.0052) / [(1.0052^360) - 1]

Monthly payment= $1,076.37

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Answer:

The answer is 25.

Step-by-step explanation:

150/6 is 25

I think that is the correct answer sorry I didn't answer before didn't see the problem.

Answer:

It C

Step-by-step explanation:

Answer: 3.579 × 10^5

Step-by-step explanation:

Answer:

X(-4, 1)

I(-4,3)

E(-3,3)

Step-by-step explanation:

simply reflect across the x axis.

Answer:

B) 80°

Step-by-step explanation:

140-60= 80°

(exterior angle of triangle is equal to interior opposite angles)

Answer:

B) x= 80°        

Step by step explonation

140-60=80

9514 1404 393

Answer:

  6.  C  multiply the first equation by -7 ...

  7.  A  parallel lines

Step-by-step explanation:

6. The idea of elimination is to create equations that have opposite coefficients for one of the variables. In this set of equations, there are two simple ways to achieve that.

On is to multiply the second equation by -2 (so x-coefficients are 4 in the first equation and -4 in the second equation).

The other is to multiply the first equation by -7 (so y-coefficients are -7 in the first equation and +7 in the second equation).

This latter method is described in answer choice C.

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7. Equations are more easily compared if they are in the same form. Here, "standard form" is nice. To put the second equation in standard form, we must remove a factor of 3 from all of the numbers:

  3(2x) +3(y) = 3(4)

  2x +y = 4

We see that this differs from the first equation only in that it has a different right-side constant. That means it describes a parallel line.

Answer:

option 2] 7. 1

Step-by-step explanation:

Perimeter of square is 20.

therefore,

[tex]perimeter \: = 4 \times side \\ therefore \: 20 = 4 \times side \\ \: \: \: \: \: \: side = \frac{20}{4} \: = 5 [/tex]

the diagonal and the Two adjacent sides of the square form a right angle triangle, so,

By hypotenuse theorem,

[tex] {iagonal}^{2} \: = {side1}^{2} + {side2 }^{2} \\ \: \: \: \: \: \: \: \: = {5}^{2} + {5 }^{2} \\ = 25 + 25....(as \: suare \: has \: equal \: sides \: i.e \: 5) \\ = 50 \\diagonal = \sqrt{50} \\ = \sqrt{25 \times 2} \\ = 5 \sqrt{2 } \\ = 5 \times 1.414 \\ = 7.07 \\ = approx \: 7.1[/tex]

Answer:

14.6

Step-by-step explanation:

For this case we have the following trigonometric relationship:

sine (x) = C.O / h

Where,

x: angle

C.O: opposite leg

h: hypotenuse

Substituting values we have:

sine (20) = 5 / c

Clearing c:

c = 5 / sine (20)

c = 14.619022

Rounding:

c = 14.6 in

Answer:

c = 14.6 in

option 4

Answer:

A

Step-by-step explanation:

I plugged in the information on a graph and I got that the first equation is y=1x+3

Since the rate of change is 2 for the second equation function B has the greater rate of change.

Answer:

D. 41x + 11y

You add the like terms so the 23 and 18 to equal 41

Step-by-step explanation:

Answer:

x= 4, y= -2

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

i have made it in above picture

220 cm

hope it helps

Step-by-step explanation:

a/2-3=8

a-6 =8

2

a-6=16

a=16+6

a=22

hope it helps.

Answer:

D

Step-by-step explanation:

Just took it.

Answer: D. cos(kθ + θ) + i sin(kθ + θ)

Step-by-step explanation:

The screenshot pretty much speaks for itself, but you can see that the proof ends with cos[(k + 1)θ] + i sin[(k + 1)θ]. That means that addition is happening in Step D, and that the expressions in the cosine and sine parts are the same. So, the correct option is D. Hope that helps!

Answer:

y=-17

Step-by-step explanation:

y=mx

20.4=m×6

20.4÷6=m

3.4=m

y=3.4×-5

y=-17

The value of the variable 'y' at x = 5 will be 17. Then the correct option is A.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

If y varies directly with x. Then we have

y ∝ x

y = kx

At x = 6 and y = 20.4, then the value of the constant k is calculated as,

20.4 = k(6)

k = 20.4 / 6

k = 3.4

Then the equation is given as,

y = 3.4 x

The value of the variable 'y' at x = 5 will be calculated as,

y = 3.4 (5)

y = 17

The worth of the variable 'y' at x = 5 will be 17. Then, at that point, the right choice is A.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

Answer:

<A= 60 degrees

Step-by-step explanation:

Since cosA=0.5, we can take the inverse cos of 0.5 to get 60 degrees.

Hope this helped!

Answer:

12

Step-by-step explanation:

the range is the difference between the highest and lowest data value

the lowest data value is zero and the highest is twelve

Answer:

If a<b, x<2

If a>b, x>2

Step-by-step explanation:

ax-bx>2a-2b, (a-b)x>2(a-b)

If a>b, x>2(a-b)/(a-b)=2

If a<b, x<2(a-b)/(a-b)=2

Answer:

2.25 x 3 = 6.75

Step-by-step explanation:

Answer:

c = √(a² + b²)

Step-by-step explanation:

c=√a2+b2

Answer: so if you have a right triangle and only know the horizontal and vertical lines you would which equal 13 and 12 you would find those squared which are, 169 and 144. Add those together. 313. Then get the square root of 313. Which is rounded 17.7. So the answer to the hypotenuse is 17.7

Step-by-step explanation:

Answer:

A=a+b

2h=10+20

2·6=90

Step-by-step explanation:

HAVE A GREAT DAY

Answer:

36*sqrt(3)

Step-by-step explanation:

Remark

Use the Pythagorean theory to find the height. Use that height to find the area of the rectangle and the triangle Or

You can find the area of the trapezoid which requires only 1 step after you find the height.

Height

c = 8

b = 4

a = ?

a^2 + b^2  =  c^2

a^2 + 4^2 = 8^2

a^2 + 16 = 64

a^2 = 64 - 16

a^2 =  48

a^2 =  16 * 3

sqrt(a^2) = sqrt(16*3)

a = 4 * sqrt(3)

That's the height

Trapezoid

b1 = 7

b2 = 7 + 4 = 11

h = 4*sqrt(3)

Area = (b1 + b2)*h / 2

Area = (7 + 11)* 4*sqrt(3)/2

Area = 18 * 2 sqrt(3)

Area = 36* sqrt(3)