Find the measures of the interior angles of the triangle.

Mathematics

1 answer:

raketka [301]2 years ago

7 0

Answer:

You can also demonstrate a proof of the sum of interior angles of triangles and apply a formula, a + b + c = 180° a + b + c = 180 ° , where a , b , and c are the interior angles of the triangle.

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One card is selected at random from a deck of cards. Determine the probability that the card selected is a 10. The probability t

Daniel [21]

Answer:

1:13

Step-by-step explanation:

A standard deck has 52 cards not including the joker. each suit has one 10. there are total four "10" in a deck of playing cards. 4/52 = 1/13 or 1:13

6 0

2 years ago

Read 2 more answers

WILL GIVE BRAINLIEST TO CORRECT ANSWER

Aliun [14]

Answer:

Total number of outcomes = 23

number of biology and art students = 2

number of biology students = 2

Since it is given that all the students study art,

number of possible outcomes = 2

probability = number of favorable outcomes/number of total outcomes.

= 2/23

Therefore probability that the selected student studies both art and biology is 2/23.

7 0

2 years ago

Break apart 35 into 30+5=

s344n2d4d5 [400]

30+5=5+30 with commutative property or 30+5=35

6 0

2 years ago

The sum of squares of two consecutive odd numbers is 514 find the numbers

amid [387]

Correct Question : The sum of squares of two consecutive positive odd numbers is 514. Find the numbers.

$\rule{130}1$

Solution :

Let the two consecutive positive odd numbers be x and (x + 2)

$\rule{130}1$

☯ $\underline{\boldsymbol{According\: to \:the\: Question\:now :}}$

$:\implies\sf x^2 + (x + 2)^{2} = 514 \\\\\\:\implies\sf x^2 + x^2 + 4x + 4 = 514\\\\\\:\implies\sf 2x^2 + 4x + 4 = 514 \\\\\\:\implies\sf 2x^2 + 4x = 514 - 4\\\\\\:\implies\sf 2x^2 + 4x = 510 \\\\\\:\implies\sf 2x^2 + 4x - 510 = 0\\\\\\:\implies\sf x^2 + 2x - 255 = 0 \:\:\:\:\:\Bigg\lgroup \bf{Dividing\:by\:2}\Bigg\rgroup\\\\\\:\implies\sf x^2 + 17x - 15x - 255 = 0\\\\\\:\implies\sf x(x + 17) - 15(x + 17) = 0\\\\\\:\implies\sf (x + 17) (x - 15)\\\\\\:\implies\sf x = - 17\:or\:x = 15\\\\\\:\implies\underline{\boxed {\sf x = 15}}\:\:\:\:\:\Bigg\lgroup \bf{Positive\:odd\: number}\Bigg\rgroup$