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Anuta_ua [19.1K]
3 years ago
12

In the image shown, line n is a transversal cutting parallel lines l and m.

Mathematics
2 answers:
hram777 [196]3 years ago
8 0

Answer:

it is 70 on usatestprep.

Step-by-step explanation:

x + 40 = 2x + 10

x = 30

So, ∠5 = 2x + 10 = 2(30) + 10 = 70

Sunny_sXe [5.5K]3 years ago
7 0

Answer:

The answer is C.) 70

Step-by-step explanation:

Corresponding angles are congruent. So, set the angles equal to each other and solve for x.

x + 40 = 2x + 10

x = 30

So, ∠5 = 2x + 10 = 2(30) + 10 = 70°

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Find out what number times it's self equals the number you need to find the square root of and that's the square root
5 0
3 years ago
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The point (5, -1) is a solution of the equation: y = 2x − 11 question 28 options: true false
kkurt [141]
True
This is because on replacing for x=5;
y=2x-11
y=2(5)-11
y=10-11
y=-1

8 0
4 years ago
two terms of an arithmetic sequence are a6= 40 and a20= -16. write and explicit rule for the nth term
Lana71 [14]

Answer:

Tn = 64-4n

Step-by-step explanation:

The nth term of an AP is expressed as:

Tn = a+(n-1)d

a is the common difference

n is the number of terms

d is the common difference

Given the 6th term a6 = 40

T6 = a+(6-1)d

T6 = a+5d

40 = a+5d ... (1)

Given the 20th term a20 = -16

T20 = a+(20-1)d

T20 = a+19d

-16 = a+19d... (2)

Solving both equation simultaneously

40 = a+5d

-16 = a+19d

Subtracting both equation

40-(-16) = 5d-19d

56 = -14d

d = 56/-14

d = -4

Substituting d = -4 into equation

a+5d = 40

a+5(-4) = 40

a-20 = 40

a = 20+40

a = 60

Given a = 60, d = -4, to get the nth term of the sequence:

Tn = a+(n-1)d

Tn = 60+(n-1)(-4)

Tn = 60+(-4n+4)

Tn = 60-4n+4

Tn = 64-4n

7 0
4 years ago
A ski patrol unit has nine members available for duty, and two of them are to be sent to rescue an injured skier. In how many wa
alexgriva [62]

Answer:

36

Step-by-step explanation:

The number of two of the nine members of ski patrol unit can be chosen is equal to the combinations of 9 taken 2. This can be calculated using the formula:

\frac{9!}{2!*(9-2)!}  

= \frac{9!}{2!*7!}, where

9! =9×8×7×6×5×4×3×2×1 and

7!=7×6×5×4×3×2×1

2!=2×1   then the equation becomes:

=\frac{9*8}{2} =36

4 0
3 years ago
Factorise 12u-uv please help lol
max2010maxim [7]

Answer:

u(12-v)

Step-by-step explanation:

12u and -uv both have a factor of <em>u </em>in common, so we can pull it out to give us the factored expression u(12-v).

<em>Note on factoring:</em>

<em>Remember, it's just using the distributive property in reverse! We can get our original expression back by distributing the u to the 12 and the -v.</em>

6 0
3 years ago
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