Point-Slope Form of a Line

Answer:

a=210ft²

The area of the triangle is 210 square feet.

Step-by-step explanation:

This is a right triangle, as shown by the Pythagorean theorem:

[tex]20^{2} +21^{2} =29^{2} \\400+441=841\\841=841[/tex]

The 2 perpendicular legs of a right triangle are also the base and height of a rectangle of the same size. A right triangle is exactly half of that rectangle, and therefore the area of a right triangle is exactly half of the area of that rectangle.

The area of that rectangle is:

[tex]a=b*h\\a=20*21\\a=420[/tex]

And then the area of the triangle is:

[tex]a=\frac{420}{2}\\a=210[/tex]

a. Assume a is even, so a = 2k for some integer k. Now let a and b be integers such that a divides b and a + b is odd.

Since a divides b, b = an for integer n, and in turn b = 2nk, which means b is even and hence a + b is also even. But this contradicts our initial assumption, so a must be odd.

b. Let n be even, so that n = 2k for some integer k. Then

n² = (2k)² = 4k²

so that n² ≡ 0 (mod 4).

Now let n be odd, so n = 2k + 1 for integer k. Then

n² = (2k + 1)² = 4k² + 4k + 1

so that n² ≡ 1 (mod 4).

Therefore n² is never congruent to 2 (mod 4).

Answer: C

Step-by-step explanation:

16+9=25 so 25-4 is 21 and 7 times 3 is 21. This means that 7(3) + 4 is 25

Answer:

m∠3 = 2x - 10° and m∠6 = 3x + 20

m∠3 = 58°          ;    m ∠6 = 122°

Step-by-step explanation:

a ║ b

m∠2 = m∠6                     If ║ cut by a transversal, then corresponding angles

                                         are ≅ and =

m∠7 = m∠3                   If ║ cut by a transversal, then corresponding angles

                                       are ≅ and =

m∠2 = 3x + 20              Given

m∠7 = 2x - 10                 Given    

m∠6 + m∠3 = 180°         If ║ cut by a transversal, then each pair of same-side

                                       interior angles (also called consecutive interior angles

                                       are supplementary (sum = 180°) .    

3x + 20 + 2x - 10 = 180°

5x + 10 = 180°

5x = 170°

x = 34°

Answer:   m∠3 = 2x - 10° and m∠6 = 3x + 20

                m∠3 = 2(34) - 10  ;    m∠6 = 3(34) + 20

                 m∠3 = 58°          ;    m ∠6 = 122°

Answer:

  4/3

Step-by-step explanation:

Assuming your line is intended to be ...

  y = -3/4x +6

The slope is the coefficient of x: -3/4.

The slope of a line perpendicular to it is the opposite of the reciprocal of this, so is ...

  -1/(-3/4) = 4/3

The gradient of the perpendicular line is 4/3.

Answer:

$14

Step-by-step explanation:

We can make an equation

30%. . . . . .X

--------- = ---------

100. . . . . . .20

Now we cross multiply

100x = 600

x = 6

Now we subtract to find how much we will take home.

20 - 6 = $14 every hour will be made

Answer:

Answer:

685,000

Step-by-step explanation:

Answer:

685327.000

Step-by-step explanation:

Answer:

l and n

Step-by-step explanation:

Answer:

7 Decenas = 70 Unidades espero que te ayude

Step-by-step explanation:

Answer:

990- YES, YES, NO,YES, YES, NO, YES, YES, YES

1586- YES, NO, NO, NO, NO, NO, NO, NO, NO

275- NO, NO, NO, YES, NO, NO, NO, NO, YES

6686- YES, NO, NO, NO, NO, NO, NO, NO, NO

639210- YES, YES, NO, YES, YES, NO, NO, YES,YES

429714- YES, YES, NO, NO, YES, NO, YES, NO, NO

2856- YES, YES, YES, NO, YES, YES, NO, NO, NO

3060- YES, YES, YES, YES, YES, NO, YES, YES, NO

406839- NO, YES, NO, NO, NO, NO, NO, NO, NO

Step-by-step explanation:

hope this helped<3

Answer:

c=60

d=45

Step-by-step explanation:

3c=180

c=60

4d=180

d=45

Answer:

B

Step-by-step explanation:

Answer:

x= -y-z

y= -x-z

z= -x-y

i think this is it

Answer:

complete the question pls

Step-by-step explanation:

Answer:

a b d e

Step-by-step explanation:

i just took the test and got a hundred

Equations A, B, and E are true, i.e 66: 10 = 6.6, 660: 10° = 66, 6: 100 = 0.06​.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

Make sure your equation is correct by comparing the values on either side of the equals sign to create a true equation. A true equation must have the same numerical values on both sides of the "=" sign. One real equation is, for instance, 9 = 9. A valid equation is 5 + 4 = 9.

As a result, the true equations are,

66: 10 = 6.6

660: 10° = 66

6: 100 = 0.06​

Thus, equations A, B, and E are true, i.e 66: 10 = 6.6, 660: 10° = 66, 6: 100 = 0.06​.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ2

Check the picture below.

Step-by-step explanation:

let's say a is length, and b is width:

a = 10 + b

after this, we can write:

2(a + b) = 72

2(10 + b + b) = 72

2(10 + 2b) = 72

20 + 4b = 72

4b = 72 - 20

4b = 52

b = 52 ÷ 4

b = 13

if b = 13, then a = 10 + b = 10 + 13 = 23

so: a = 23 and b = 13

Answer:

It is impossible to convert in square form.

Answer:55 nail boxes

Step-by-step explanation: first we have to find out the total amount of nails in all the boxes so for this we do 38*8=304

when he gave all the nails to all his students he has 26 extra nails left. so we add this amount to the original which gives us 330 total nails.

to find out the number of nails in eadh box we divide 330/6=55

Answer:

3333

Step-by-step explanation:

3333

Answer:

8.12

Step-by-step explanation:

Because 0.20 is reduced after each number

8.72-0.20= 8.52

8.52-0.20=8.32

8.32-0.20=8.12

Answer: 1

Step-by-step explanation:

1 x 3 + 1=4

4/2=2

2/2=1

the same thing happens again,

1 x 3 +1=4

4/2=2

2/2=1

therefore the number is 1 when I first started

Answer: If this is a True or False Question the Answer is False

Step-by-step explanation:

Why? because if you pick -1 (negative one) the answer will always be negative.

Using the Central Limit Theorem, it is found that a sample size of 13 is needed.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

For this problem, using a calculator:

The sample size needed is n when [tex]s = 4[/tex], as by the Empirical Rule, 95% of the measures are within 2 standard errors of the mean, hence [tex]2s = 8 \rightarrow s = 4[/tex]

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

[tex]4 = \frac{14.07}{\sqrt{n}}[/tex]

[tex]4\sqrt{n} = 14.07[/tex]

[tex]\sqrt{n} = \frac{14.07}{4}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{14.07}{4}\right)^2[/tex]

[tex]n = 12.37[/tex]

Rounding up, a sample size of 13 is needed.

A similar problem is given at https://brainly.com/question/24663213

Answer:

8×+6×-5×{2}

8×+6×-10×

14×-10×

4×

calculation: 2x(4+3)-5x[4-(9-7)]

2x × 7-5x [4-(9-7)]

14x - 5x [4-(9-7)]

14x - 5x [2]

14x -5x × 2

14x - 10x

4x

Answer:

148

Step-by-step explanation:

sorry, im not sure how to solve it, but its 148

hope this kinda helped :)

mark me brainliest :D

Answer:

60

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer  is . (5xy² + 3x² - 7) + (3x²y² - xy² + 3y² + 4). hope this helps

Answer:

30 dinner rolls

Step-by-step explanation:

There are 5 dinner rolls per basket and there are 6 baskets

So there are 6 groups of 5:

5 + 5 + 5 + 5 + 5 + 5

In other words, multiply 5 and 6

5 dinner rolls x 6 = 30 dinner rolls

Answer:

9×y

Step-by-step explanation:

the

answer

of

the

given

is 9y

Answer:

Step-by-step explanation:

An acute triangle is a triangle in which all three angles measure less than 90 degrees. If any angle measures 90 or more degrees, we no longer have an acute triangle.

Answer:

1) first & last option

2) x=10

3) x=15

4) acute, acute, obtuse. right

5)

Step-by-step explanation:

(8)^2+(6)^2=(x)^2

64+36=x^2

square root of 100= square root of x^2

x= 10