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BARSIC [14]
2 years ago
7

Find the value of x so that L||M

Mathematics
1 answer:
expeople1 [14]2 years ago
5 0

9514 1404 393

Answer:

  x = 19

Step-by-step explanation:

The marked (consecutive interior) angles will be supplementary when the lines are parallel.

  (3x +10)° +(5x +18)° = 180°

  8x = 152 . . . . . . . . . . . . . . . divide by °, subtract 28

  x = 19 . . . . . . . . . . . divide by 8

You might be interested in
What is a21 of the arithmetic sequence for which a7=−19 and a10=−28? A. -35 B. 35 C. -58 D. -61
shepuryov [24]

Answer:

a21 = -61

Step-by-step explanation:

a_{n}=a_{1}+(n-1)d

-19=a_{1}+(7-1)d

-28=a_{1}+(10-1)d (subtract to eliminate a₁)

9 = -3d

d = -3

-19 = a₁ + (6)(-3)

-1 = a

a21 = -1 + (21 - 1)(-3)

= -61

8 0
2 years ago
Read 2 more answers
Help I have to turn this is tomorrow and I don’t know how to do it
jenyasd209 [6]

Step-by-step explanation:

The area of the triangular base is: 19

square units

How to calculate the base area

The given parameters are:

Volume = 27.36 cubic units

Height = 2.88 unit

The volume of a triangular prism is:

V = 0.5 * B *h

Where B represents the base area.

So, we have:

27.36 = 0.5 * B * 2.88

27.36 B * 1.44 -

Solve for B

B = 19

Hence, the area of the triangular base is: 19 square units

6 0
2 years ago
The circumference of the base of a cone is 24 inches. The slant height of the cone is 20 inches.
loris [4]

The surface area of a cone with circumference base of 24π inches and slant height of 20 inches is 384π inches² in terms of π.

<h3>Surface area of a cone</h3>

surface area = πr(r + l)

where

  • r = radius
  • l = slant height

Therefore,

l = 20 inches

24π = 2πr

r = 12

Therefore,

surface area  = π(12)(12 + 20)

surface area = 12π(12 + 20)

surface area = 12π × 32

surface area = 384π inches²

learn more on surface area here: brainly.com/question/2847956

6 0
1 year ago
Read 2 more answers
?
ExtremeBDS [4]

Answer:

C) Area of Triangle is 102 Square Units

3 0
2 years ago
PLZZ HELP ME!!! I DONT UNDERSTAND!
maw [93]

Answer:

the third slot should be 5x+4-9+x

then the last one should be    6x-5

5 0
2 years ago
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