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stira [4]
4 years ago
7

Find the value of X and y from the figure​

Mathematics
2 answers:
Shalnov [3]4 years ago
8 0

Answer:

180° = x + (2x -15)

180°=3x-15

3x = 195

x =65°

x + y = 180°

65+ y= 180°

y = 115°

Karo-lina-s [1.5K]4 years ago
5 0

Answer:

x = 65, y = 115

Step-by-step explanation:

x and 2x - 15 are adjacent angles and supplementary, thus

2x - 15 + x = 180

3x - 15 = 180 ( add 15 to both sides )

3x = 195 ( divide both sides by 3 )

x = 65

y and 2x - 15 are congruent ( alternate angles ), thus

y = 2x - 15 = 2(65) - 15 = 130 - 15 = 115

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The Johnson twins were born nine years after their older sister. This year, the product of the three siblings ages is exactly 18
KATRIN_1 [288]

Answer: The age of the twins is 10 years.

Step-by-step explanation:

Suppose the age of older sister be x

Let the age of twins sister be x-9, as they are born after 9 years.

Product of their ages be

x(x-9)(x-9)\\\\=x(x^2-18x+81)\\\\=x^3-18x^2+81x

Sum of their ages will be

x+x-9+x-9\\\\=3x-18

According to question,

1861+3x-18=x^3-18x^2+81x\\\\x^3-18x^2+81x-3x+18-1861=0\\\\x^3-18x^2+78x-1843=0\\\\x=19

So, Age of older sister will be 19 years.

Age of the twins will be

19-9=10\ years

Hence, the age of the twins is 10 years.

3 0
3 years ago
Alicia's brother is three years younger than twice her age. The sum of their ages is 24. How old is Alicia?
Alborosie
9 because 24 divided by 2 is 12 and 12 subtracted by 3 is 9
5 0
3 years ago
Ann and ben had some apples. The ratio of the number of Ann's apples to the ratio of Ben's apple is 2:3. Ann gave 6 apples to be
aleksklad [387]

Answer:

There are 12 apples in total.

Step-by-step explanation:

If Anne gave Ben 6 apples then heres how:

2:3 subrtact 6 apples = 1:3

6 apples x 2 = 12 apples =

2 ÷ 2 = 1

Hence, your answer is double 6 which is 12 apples.

Hope this helps :)

3 0
3 years ago
What is the cube root of 27 in radical notation ​
vitfil [10]

Answer: hi im mongraal

Step-by-step explanation:

In mathematics, a cube root of a number x is a number y such that y³ = x. All nonzero real numbers, have exactly one real cube root and a pair of complex conjugate cube roots, and all nonzero complex numbers have three distinct complex cube roots. For example, the real cube root of 8, denoted ³√8, is 2, because 2³ = 8, while the other cube roots of 8 are −1 + √3i and −1 − √3i. The three cube roots of −27i are 3i, 3√(3)/2-3/2i, and -3√(3)/2-3/2i.

3 0
4 years ago
Read 2 more answers
Reggie surveyed several classmates at his school asking them how many hours they spend doing homework each week. The results of
Neko [114]
Total students 5+16+42+22+5 = 90
0-1's probability is 5 / 90 = 5.5% about
2-3's probability is 16 / 90 = 17.7% about
4-5's probability is 42 / 60 = 46.6% about
6-7's probability is 22 / 90 = 24.4% about
8+'s probability is 5 / 90 = 5.5% about
(percentages not rounded, just cut off at the first decimal)
3 0
4 years ago
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