Thirty-seven is twice a number increased by five.

Answer:

5)42º

6)112º

7)112º

8)38º

Step-by-step explanation:

m<6         180-68=112

m<5         180=26+112+x            42=x

m<7 is congruent to m<6

m<8         180=30+112+x            38=x

Answer:

That's all

Step-by-step explanation:

you need to replace the values then solve

Answer:

27.      1^-8  =  1/1^8  =  1

28.       2^-5  =  1/2^5  =  1/32

29.       -3^-3  =  - 1/3^3  =  -  1/27

30.       2^-1   =    1/2  = 1/2

31.       -3^-4  =  -  1/3^4  =  -  1/81

32.       5^-3  =   1/5^3  =  1/125

33.       1^-99  =  1/1^99  =  1

34.       1^-3  =  1/1^3   =  1

35.       4^-3  =  1/4^3  = 1/64

36.       2^-3  =    1/2^3   =   1/8

Step-by-step explanation:

Rewrite the expression using the negative exponent rule b^−n=1/b^n

1/2^3

Raise 2 to the power of 3

1/8

The result can be shown in multiple forms, but this is fraction form.

1/8

I hope it helps!!

Answer

with

Step-by-step explanation:

Statement      Reasons

1.∠1 ≅ 4             Given

2.∠1 = ∠2           Being Vertically opposite angles.

3.∠4 = ∠3          Being Vertically opposite angles.  

4.∠2 = 3             From Statement no 2 & 3, Transitive property.

5.∠2 ≅ 3            From Statement 4

Proved.

Answer:

The answer is in the included image

The question is an illustration of permutation and combinations.

The given parameters are:

[tex]\mathbf{n = 7}[/tex]

[tex]\mathbf{r = 4}[/tex]

(a) Choose 4 of 7 paintings

Choosing 4 of 7 paintings implies combination.

So, we have:

[tex]\mathbf{^nC_r = \frac{n!}{(n - r)!r!}}[/tex]

Substitute values for n and r

[tex]\mathbf{^7C_4 = \frac{7!}{(7 - 4)!4!}}[/tex]

[tex]\mathbf{^7C_4 = \frac{7!}{3!4!}}[/tex]

Expand

[tex]\mathbf{^7C_4 = \frac{7 \times 6 \times 5 \times 4!}{3 \times 2 \times 1 \times 4 !}}[/tex]

[tex]\mathbf{^7C_4 = 35}[/tex]

Hence, the number of ways she can choose 4 out of the 7 paintings is 35

(b) Arrange 4 of 7 paintings

Arranging 4 of 7 paintings implies permutation.

So, we have:

[tex]\mathbf{^nP_r = \frac{n!}{(n - r)!}}[/tex]

Substitute values for n and r

[tex]\mathbf{^7P_4 = \frac{7!}{(7 - 4)!}}[/tex]

[tex]\mathbf{^7P_4 = \frac{7!}{3!}}[/tex]

Expand

[tex]\mathbf{^7P_4 = \frac{7 \times 6 \times 5 \times 4 \times 3!}{3!}}[/tex]

[tex]\mathbf{^7P_4 = 840}[/tex]

Hence, the number of ways she can arrange 4 out of the 7 paintings is 840

Read more about permutation and combinations at:

https://brainly.com/question/15301090

Answer:

1) How does "Abe" relate to the merry-go-round? (The problem doesn't seem to say.)

2) How many people did each person provide for? So how many dozens were brought? How many are in a dozen? So how many cookies were brought?

Step-by-step explanation:

nm the top

There are n seats on a merry- go-round. A boy takes n rides. Between each ride, he moves clockwise a certain number of places to a new horse. Each time he moves a different number of places. Find all n for which the boy ends up riding each horse.

2) So if there are n horses, first the boy could move by one place then he could move by n+1 places then by 2n+1 so on and so forth, until he moves (n−2)n+1 places, in which case he'd would have been ridden each horse only one time and taken unique number of steps, which implies that all n's satisfy given condition.

1) I don't know how to cancer this let me resheerch and ill get back to you

P>S let this be help only if you need to annotate or reword thx

The real numbers have the following important subsets: rational numbers, irrational numbers, integers, whole numbers, and natural numbers.

8 is an a integer, a whole number and a rational number.

Hope this helps,

if so mark brainliest...

Amount of tax paid = 43-40 = 3

Tax rate = 3/40 = 0.75

0.75 x 100 = 7.5%

Tax rate = 7.5%

Answer:

-3, -

Step-by-step explanation:

 I took the test

cancelout the v^-6

21/-7

-3

Answer:

Step-by-step explanation:

[tex]\dfrac{21y^{-6}}{-7y^{-6}}= (-3) *y^{-6 -[-6]} = (-3)*y^{6+6}=-3*y^{0} = -3*1 = -3[/tex]