What is the length of segment LP?

Answers

Answer 1

Answer: In the image, as denoted by similar sides OP and MN, we can conclude that the 2 triangles are similar triangles. To look for the value of x (which we can substitute later to find the length of segment LP), we relate the relations of segments LO and LP to segments LM and LN. This relation is shown below:

LO/LP = LM/LN

22 / x+12 = 30 / x+12 + 5
22 / x+12 = 30 / x+17

Cross-multiplying:
30x + 360 = 22x + 374

Isolating x to one side of the equation by subtracting 22x and 360 from both sides:

30x + 360 - 360 - 22x = 22x + 374 - 360 - 22x
8x = 14
x = 1.75

Since we now have the value of x, we substitute this to the equation of LP:
LP = x + 12
LP = 1.75 + 12
LP = 13.75

Therefore the value of LP is 13.75 in.

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What’s the answer for this question

Answers

Answer:

128

Step-by-step explanation:

you do 16 x 16 (256) and then divide it by 2

A plumber charges $50 to come to a house and $20 an hour for work time. If h represents the number of hours worked, which expression gives the total amount the plumber charges?
a.
50h + 20
b.
20h + 50
c.
20(h + 50)
d. + 50

Answers

Since the 50 remains the same every time, is has no letters next to it in the equation. The 20, however, is multiplied by the amount of hours, and will therefore have an h next to.

20h + 50- the answer is a.

When rolling two standard cubes (6-sided die), what is the probability that you roll sum of 11? Convert your answer to decimal form, then round to 3 decimal places

Answers

Answer:

Step-by-step explanation:

There are only two ways to roll a sum of 11 (5,6),(6,5) out of 36 possible outcomes so

P(11)=2/36=1/18

as a rounded decimal 0.056

Use the equation and type the ordered-pairs.y = 2 x

{(-1,
a0), (0,
a1), (1,
a2), (2,
a3), (3,
a4), (4,
a5)}
thanks in advance :)

Answers

$\begin{array}{c|c|c}\underline{\quad (x,y)\quad}&\underline{\quad y=2x\quad }&\underline{\quad Answer\quad }\n(-1, a_o)&a_o=2(-1)&a_o=-2\n(0, a_1)&a_1=2(0)&a_1=0\n(1, a_2)&a_2=2(1)&a_2=2\n(2, a_3)&a_3=2(2)&a_3=4\n(3, a_4)&a_4=2(3)&a_4=6\n(4, a_5)&a_5=2(4)&a_5=8\end{array}$

When is the estimation of products a useful tool?

Answers

The estimation of products are usefull so with you real answer, you can check back and fourth if you answer is reasonable

Please answer the question from the attachment.

Answers

so if you want to find x then all you have to do is follow this
(20x + 10)/2 = 16x - 1
10x + 5 = 16x - 1
6x = 6
x = 1

Angle at centre = 2 * Angle at circumference.

Angle at centre = 20x + 10

Angle at circumference = 17x - 2

20x + 10 = 2*(17x - 2)
20x + 10 = 2*17x - 2*2
20x + 10 = 34x - 4
20x - 34x = -4 - 10
-14x = -14

x = -14/-14
x = 1.

1st Option.

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