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pishuonlain [190]
3 years ago
7

Find the value of x A)30 B)60 C)90 D)120

Mathematics
2 answers:
oksian1 [2.3K]3 years ago
4 0
The value of x is 30

2×30=60°
90-30=60°
90+30=120°
Bingel [31]3 years ago
3 0

Answer:  The correct option is (A) 30.

Step-by-step explanation:  We are given to find the value of x from the figure shown with two intersecting lines.

As noted from the figure, since the measures of two vertically opposite angles are equal, so

2x^\circ=(y-x)^\circ\\\\\Rightarrow 2x=y-x\\\\\Rightarrow 2x+x=y\\\\\Rightarrow y=3x~~~~~~~~~~~~~~~~~~~~~~~~~(i)

And, from the measure of a straight angle, we can write

2x^\circ+(y+x)^\circ=180^\circ\\\\\Rightarrow 2x+(y+x)=180\\\\\Rightarrow 3x+y=180\\\\\Rightarrow 3x+3x=180~~~~~~~~~~~~\textup{[putting the value of y from equation (i)]}\\\\\Rightarrow 6x=180\\\\\Rightarrow x=30.

Thus, the required value of x is 30.

Option (A) is CORRECT.

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The recommended dosage for ceclor (cefaclor) is 30mg/kg to be given P.O. for a child weighing 32 lbs. Available: 125mg/5ml. How
andreyandreev [35.5K]

The child's weight in kilogram (kg) is equal to 14.5 kilogram. 2. The safe 24-hour dosage range for this child is 290 mg to 580 mg.

Given that the recommended dosage for ceclor is 30mg/kg to be given P.O. for a child weighing 32 lbs.

In order to determine the weight of the child, we would convert the value of the child's weight in pounds (lbs) to kilogram (kg) as follows:

1 pound = 0.4536 kilogram

32 pound = x kilogram

Cross-multiplying, we have: X = 32 × 0.4536 Child's weight, x = 14.5 kilogram.

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Maximum range = 125 × 14.5 = 580 mg

Therefore, the safe 24-hour dosage range for this child is 290 mg to 580 mg.

Hence based on the calculations, we can infer and logically deduce that yes the dosage ordered safe because the safe single dose range is from 97 mg to 193 mg.

learn more about safe dosage at brainly.com/question/13186642

#SPJ9

Complete Question:

Ceclor (cefaclor) 100 mg p.oh is ordered for a child weighing 32 lbs.

1. What is the child's weight in kilograms (round to tenths)

2. What is safe 24-hour dosage range for this child?

3. Is the dosage ordered safe?

A. Yes

B. No, below the recommended dosage

C. No, it is for above the recommended dosage

D. More information is needed

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The Law of large numbers states that if we observe more and more reptitiions of any chance process, the proportion of times that a specific outcome occurs approaches a single value.

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Which formula is correct in computing 50% of the volume of the shape below?
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Answer:

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Step-by-step explanation:

volume of a cylinder:  V=πr^2h

so for 1/2 volume we can just multiply by 1/2

so

V = 1/2 (πr^2h)

plug in values r = 4.6 and h = 12.4

V= 1/2 π (4.6)^2 (12.4)

so the answer is D

8 0
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