Find the third side in simplest
can anybody help ?

65

Step-by-step explanation:

right angle triangle so:

a=??, b=72 and c=97

a^2+b^2=c^2

a=√c^2-b^2

a=√97^2-72^2 =65

Pythagorean Theorem

Step-by-step explanation:

So, in a right triangle, which is what you are dealing with right now, the square of the hypotenuse is equal to the sum of the squares of the legs.

Essentially: (a and b are legs, while c is the hypotenuse, the side opposite to the 90 degree angle)

So, we can just plug our side lengths into this, and find our third side!

Hmmm. This is what I got. The thing is though, it says simplest radical form, implying that I was supposed to get a different answer. Oh well.

Hope this helps!

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

happy to

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