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4 years ago

If m∠O = 111, find the value of x in this figure.

Mathematics

2 answers:

uranmaximum [27]4 years ago

8 0

The answer to this rather easy question is 69.

quester [9]4 years ago

4 0

Answer:

Option 2. 69° is the right answer.

Step-by-step explanation:

In this question there are two tangents MN and MP drawn on a circle O and ∠PON = 111° and ∠PMN=x°

We have to find the vale of x.

As we know Radius of a circle is always perpendicular to the tangent drawn so ∠ ONM = ∠OPM = 90°

And sum of all angles of OPMN = 4×90°=360°

⇒∠ONM+∠NMP+∠MPO+∠PON = 360°

⇒ 90°+X°+90°+111°=360°

⇒ 291°+X°=360°

⇒ X° = 360°-291° = 69°

⇒ X° = 69°

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Anyone know? A. 99 B. 100 C. 121 D. Cannot be determined

Verizon [17]

Since, it is given that the pentagon ABCDE is congruent to pentagon FGHIJ.

By being congruent, the corresponding angles and sides are equal.

Therefore, $\angle A = \angle F$ , $\angle B = \angle G$ , $\angle C = \angle H$ , $\angle D= \angle I$ , $\angle E = \angle J$ .

By using $\angle A = \angle F$

So, $100^\circ = \angle 1$

Therefore, the measure of angle 1 is 100 degrees.

So, Option B is the correct answer.

6 0

4 years ago

List the single-digit divisors of 2100. I really need help

liberstina [14]

Answer:

1, 2, 3, 4, 5, 6, 7

Step-by-step explanation:

Prime factors of 2100 are:

2100 = 2*2*3*5*5*7

The single-digit divisors are:

1, 2, 3, 2*2= 4, 5, 2*3= 6, 7

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Another solution is you divide 2100 by all numbers 1 through 9 and list those divisible:

2100/1 = 2100, yes
2100/2 = 1050, yes
2100/3 = 700, yes
2100/4 = 525, yes
2100/5 = 420, yes
2100/6 = 350, yes
2100/7 = 300, yes
2100/8 = 262.5, no
2100/9 = 233.33, no

So all the numbers from 1 to 7

5 0

3 years ago

PLEASE HELP ASAP!!!!!!!

natita [175]

Answer:

142

Step-by-step explanation:

8 0

3 years ago

What is the measure of DA? 15 90 105 165

seraphim [82]

Answer:

D. 165

Step-by-step explanation:

if A+n=180

75+90+n=180

165+n=180

n=180-165

n=15

A+n=180

A+15=180

A=180-15

A=165 (D)

3 0

3 years ago

the mean height of a group of 500 nonsmoking college students is 74 inches and the standard deviation is 5 inches. what is the p

Novosadov [1.4K]

Based on the given description above, I have analyzed it and come up with a solution to get the probability if in a random sample of 25 students from this said group and the average height is between 73 and 75 inches. So if you calculate it, it will be like this:
2P(Z<2)−1 To find the probability of Z, use the normal distribution table.
The value for Z being less than 2 is 0.9772. The final result is then2(0.9772)−1=0.9544
Hope this is the answer that you are looking for.

3 0

3 years ago