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ololo11 [35]
1 year ago
9

Find the value of x in the diagram below. x =

Mathematics
2 answers:
padilas [110]1 year ago
7 0

Answer:

x = 79°

Step-by-step explanation:

The arrows on the line segments indicate that the lines are <u>parallel</u>.

As the parallel line segments are the <u>same length</u>, the other pair of opposite line segments are also parallel and the same length.  Therefore, we can apply the Alternate Interior Angles Theorem.

<u>Alternate Interior Angles Theorem</u>

If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.

Therefore, the missing angle in the triangle including angle x is 28°.

Interior angles of a triangle sum to 180°

⇒ 73° + 28° + x = 180°

⇒ x = 180° - 73° - 28°

⇒ x = 79°

zepelin [54]1 year ago
3 0

Answer:

x=101

Step-by-step explanation:

Fun angles......................

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Cindy has 2 boxes of pencils. Patrice has 5 boxes of pencils. Each box has the same number of pencils in it.
Murljashka [212]

Answer:

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8 0
2 years ago
The anithistamine Benadryl is often prescribed for allergies. A typical dose for a 100-pound person is 25 mg every six hours. Fo
Firdavs [7]

Answer:

56 chewable tablets

280mL liquid Benadryl

Step-by-step explanation:

For the first part:

First we need to find out how many tablets of 12.5mg would we need per dose.

1 dose is 25 mg and the tablets are in 12.5 mg form.

1 dose = \dfrac{25mg}{12.5mg} = 2

That would mean you would need 2 tablets per dose.

Next you need to calculate how many times a day it needs to be taken. A day has 24 hours and it needs to be taken every 6 hours.  Just divide 24 hours by 6 hours. So that would mean that it needs to be taken 4 times a day.

Next we need to see how many times a week it should be taken and you can get that by multiplying the number of times a day by the number of days a week.

4 x 7 = 28 times

Lastly, you multiply the number of times a week by the number of tablets per dose.

28 times a week x 2 tablets = 56 tablets.

For the second part:

12.5 mg/5mL

The needed dose is 25 mg so we need to find how many mL is needed for 25 mg. 12.5mg is only have of 25 mg we need to double it to attain the correct dosage.

\dfrac{12.5mg}{5mL} x \dfrac{2}{2} = \dfrac{25mg}{10mL}

This means that for every 25 mg, you will need to give 10mL.

Again we do the same procedure as the first to decide how much liquid Benadryl you need to give in a week. We know that based on the previous that we need to administer this 28 times a week, so just multiply the number of mL per dose by the number of times per week.

10mL x 28 = 280mL

4 0
3 years ago
If 8x = 48, then x = ___. (Only input whole number) Numerical Answers Expected! Answer for Blank 1:
Leno4ka [110]

Answer:

x = 6

Step-by-step explanation:

8x = 48,

Divide each side by 8 to isolate x

8x/8 = 48/8

x = 6

5 0
3 years ago
I just need the last 2 questions :)
Molodets [167]

Answer:

c

Step-by-step explanation:

7 0
2 years ago
Which line has the greatest rate of change? A line passing through (-1, 4) and (1, 7). A line passing through (1, 3) and (5, 11)
Juliette [100K]

Answer:

A line passing through (1, 3) and (5, 11)

Rate of change = 2

Step-by-step explanation:

  • <em>Rate of change = change in y / change in x</em>
  • <em>r = Δy/Δx</em>

<u>Let's get the rate of change for each line:</u>

A line passing through (-1, 4) and (1, 7).

  • r = (7 - 4) / (1 -(-1)) = 3/2

A line passing through (1, 3) and (5, 11).

  • r =  (11 - 3) / (5 - 1) = 8/4 = 2

A line passing through (1, 1) and (4, -3).

  • r = (- 3 - 1) / (4 - 1) = -4/3

A line passing through (0, 6) and (12, 9)

  • r = (9 - 6) / (12 - 0) = 3/12 = 1/4

<u>Comparing the values of r, we can see the greatest one is</u> 2 for the line passing through (1, 3) and (5, 11)

6 0
3 years ago
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