The original number to the nearest tenth is 23.8
Answer:
( I am assuming that these are all fractions)
1. 14 
2. 8
3. 
4. 5 
Step-by-step explanation:
1. First you have to convert 15 into a fraction but it must have the same denominator causing the equation to look like 105/7 - 3/7= 102/7. But you cannot just leave the fraction like that it must be simplified 14 
2. Three-fifths of an hour is 36 minutes. You would next multiply 5 by 60 which would the hours into minutes 5 x 60 = 300. You would then divide 300 by 36 which would give you 8.3333333333, which I just simplified it to 8
3. In order for you to multiply a fraction you would first multiply the top then the bottom. 12 x 6= 72, 15 x 18= 270. The fraction would look like 72/270 which is simplified to
.
4. First I changed the fractions into improper fractions causing the fraction to look like 36/8 x 14/11 (I got these answers by 8 by 4 then adding 4, then for the next fraction I multiplied 11 by 1 then added 3.) 36 x 14= 1224, 11 x 8= 88 the fraction would look like 1,224/88 you would simplify to 5 
Hope this helps
Please tell me if I made any mistakes I enjoy learning from them.
Having drawn one king, there are 3 kings remaining and a total of 51 cards. Therefore the probability of drawing another king is 3/51 = 1/17.
Answer:
⠀
Step-by-step explanation:
The triangle having two sides equal along with one different side is called an isosceles triangle.
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- 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.
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We know that,
- The sum of all angles of a triangle is 180°
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So, According to the question :
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⠀

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⠀

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Therefore,
- The measure of the two other angles of the isosceles triangle are 71° and 71°.
Answer:
none of them
Step-by-step explanation:
Two lines are perpendicular when satisfy the next equation: m1*m2 = -1, where m1 and m2 are the slopes o the lines.
line 1:
y – 1 = (x+2)
y = x + 3
slope of line 1 = 1
line 2:
y + 2 = –3(x – 4)
y + 2 =
-3*x + 12
y = -3*x + 10
slope of line 2 = -3
m1*m2 = 1*(-3
) = -3
They are not perpendicular
line 3:
y − 5 = 3(x + 11)
y − 5 = 3*x + 33
y = 3*x + 38
slope of line 3 = 3
m1*m3 = 1*3 = 3
They are not perpendicular
line 4:
y = -3x –
slope of line 4 = -3
m1*m4 = 1*(-3
) = -3
They are not perpendicular
line 5:
y = x – 2
slope of line 5 = 1
m1*m5 = 1*1 = 1
They are not perpendicular
line 6:
3x + y = 7
y = -3x + 7
slope of line 6 = -3
m1*m6 = 1*(-3
) = -3
They are not perpendicular