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Sliva [168]
2 years ago
11

Read the following statement. It is cloudy outside. What is the first step of indirectly proving this statement?

Mathematics
2 answers:
EleoNora [17]2 years ago
5 0
Assume if it is cloudy, then you are outside.
Tpy6a [65]2 years ago
4 0

Answer with explanation:

The Given statement is :  It is cloudy outside.

To prove it indirectly , we will take negation or contradiction of this statement.

We will start by writing this statement

that it is not cloudy outside.

The first step of indirectly proving this statement?

Option 1: Assume it is not cloudy outside.

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An isosceles triangle has an angle that measures 38degrees. What measures are possible for the other two angles? Choose all that
Sphinxa [80]

Answer:

  • 71° and 71°.

⠀

Step-by-step explanation:

The triangle having two sides equal along with one different side is called an isosceles triangle.

⠀

  • So, Let us assume the other sides (two equal sides) of the isosceles triangle as x. As the different side is already given in the question.

⠀

We know that,

  • The sum of all angles of a triangle is 180°

⠀

So, According to the question :

⠀

{\longrightarrow \it\qquad { \ { {  38 \: }^{ \circ}   + x + x  =  180{}^{ \circ} }}}

⠀

{\longrightarrow \it\qquad { \ { {  38 \: }^{ \circ}   + 2x   =  180{}^{ \circ} }}}

⠀

{\longrightarrow \it\qquad { \ {   2x   =  180{}^{ \circ} - {  38 \: }^{ \circ}}}}

⠀

{\longrightarrow \it\qquad { \ {   2x   =  142{}^{ \circ}  }}}

⠀

{\longrightarrow \it\qquad { \ {   x   =    \dfrac{142{}^{ \circ}}{2}   }}}

⠀

{\longrightarrow \it\qquad { \pmb {   x   =  71^{ \circ}  }}}

⠀

Therefore,

  • The measure of the two other angles of the isosceles triangle are 71° and 71°.
3 0
2 years ago
HELPPP
Bingel [31]

I'm not sure if it only wants you to find Equation 1 or go further and solve:

x = the number of 5c coins

y = the number of 10c coins

Equation 1: the total number of coins is 65

x + y = 65

total value of $3.80

0.05x + 0.1y = 3.8

<u>Simultaneous Equations</u>

Make one coefficient the same

10 * (0.05x + 0.1y = 3.80 = 0.5x + y = 38

x + y = 65

0.5x + y = 38

Subtract the equations

(x + y) - (0.5x + y)= 65 - 38

(x - 0.5x) + (y - y) = 65 - 38

0.5x = 27

x = 54

Substitute it into the original equation to find y.

x + y = 65

54 + y = 56

y = 65 - 54 = 11

Substitute it into the other equation to check it's right.

0.05x + 0.1y = 3.8

0.05(54) + 0.1(65) = 3.8

x = 54 5c coins

y = 11 10c coins

8 0
3 years ago
Amy has 3 children, and she is expecting another baby soon. Her first three children are girls. What is the probability that the
Anton [14]
Obliviously 1/2.
If you roll a die and you get two times 3 the probability to get another 3 is always 1/6
6 0
3 years ago
Read 2 more answers
What is the probability that there is at most one purple marble? 0.100 0.301 0.770 0.971
andriy [413]

The probability that there is at most one purple marble is 0.9701.

<h3>What is the probability  about?</h3>

Probability is a term that connote the possibility of an event or something occurring or not.

Note that it is one that is  based on the level of occurrence that can be seen in a random event.

Based on the fact that there is a  bag that has  eight yellow marbles, nine green marbles, three purple marbles, and five red marbles, the  probability that there is at most one purple marble is 0.9701.

Learn more about This probability case from

brainly.com/question/3729438

#SPJ4

3 0
2 years ago
PLEASE HELP 11 POINTS
Free_Kalibri [48]

Answer:

It should be 87.92

Step-by-step explanation:

4 0
3 years ago
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