All categories

2 years ago

If the angle of R and the angle of S are vertical angles and the measure of Angle R = 39 degrees, what is the measure of angle S

Mathematics

1 answer:

Marat540 [252]2 years ago

3 0

Answer:

Step-by-step explanation:

Verticle angles are formed when two lines intersect each other, the angles opposite each other are called verticle angles. Verticle angles are congruent, meaning their angle measures are the same. One can apply this knowledge here by stating the following,

You might be interested in

HELP PLEASE???!!!!!!!

Fiesta28 [93]

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}y=\dfrac{3}{4}x-12&(1)\\y=-4x-31&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\\dfrac{3}{4}x-12=-4x-31\qquad\text{multiply both sides by 4}\\\\3x-48=-16x-124\qquad\text{add 48 to both sides}\\\\3x=-16x-76\qquad\text{add}\ 16x\ \text{to both sides}\\\\19x=-76\qquad\text{divide both sides by 19}\\\\x=-4\\\\\text{Put it to (2):}\\\\y=-4(-4)-31\\y=16-31\\y=-15$

7 0

3 years ago

2. Find the 20th term of an arithmetic sequence if its 6th term is 14 and 14th term is 6.

Fudgin [204]

Answer:

$\sf t_{20}= 0$

Step-by-step explanation:

<h3>Arithmetic sequence:</h3>

$\sf \boxed{\bf n^{th} \ term = a + (n-1)d}\\\\\text{Here, a is the first term ; d is the common difference }$

6th term is 14 ⇒ $\sf t_6 = 14$

a + (6 - 1)d = 14

a + 5d = 14 --------------(I)

14th term is 6 ⇒ $\sf t_{14} = 6$

a + (14-1)d = 6

a + 13d = 6 ----------------(II)

Subtract equation (II) from equation(I)

(I) a + 5d = 14

(II) a + 13d = 6

-8d = 8

d = 8 ÷(-8)

$\sf \boxed{\bf d= (-1)}$

Plugin d = -1 in equation (I)

a + 5(-1) = 14

a -5 = 14

a = 14 + 5

$\sf \boxed{\bf a = 19}$

20th term:

$\sf t_{20}= 19 + 19*(-1)$

= 19 - 19

$\sf \boxed{\bf t_{20} = 0}$

8 0

1 year ago

Read 2 more answers

Confused on this one

jeka94

Answer:

2nd is the correct answer for your question

8 0

2 years ago

Read 2 more answers

Two addends

nataly862011 [7]

Answer:

Step-by-step explanation:

18+6+4=28

8 0

2 years ago

Please help. Could you explan your answer also? thanks

natulia [17]

Answer: Choice B) -4

The lower quartile, also known as Q1 or the first quartile, is the left edge of the box. In this case, that is at -4. We can drop a vertical line from the left edge of the box until we hit -4 on the number line.

Side Note: 25% of the data values are below Q1, while 75% of the data values are above Q1

4 0

3 years ago