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mars1129 [50]
3 years ago
8

Onyango is now three times as old as his daughter and four times as old as his son. Eight years from now, Onyango's age will be

twelve years more than the sum of the ages of his son and daughter. Find their present ages.
Mathematics
1 answer:
Dahasolnce [82]3 years ago
8 0

Answer:

Onyango is 48, his daughter is 16 and his son is 12

Step-by-step explanation:

Let's call Onyango's age x, therefore his daughter and son's ages are 1/3 x and 1/4 x respectively. We can write:

x + 8 = 12 + (1/3x + 8 + 1/4x + 8)

x + 8 = 7/12x + 28

5/12x = 20

x = 48 → 1/3x = 48 / 3 = 16, 1/4x = 48 / 4 = 12

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Please identify the common angles and sides or if there are non. Explain all work please!
vova2212 [387]

Answers:

Common angles: ΔBGC and ΔGDC

Common sides: ΔGE and ΔAG

A common angle is a triangle that exists in two or both of the triangles.

Here, the common angles should be ΔBGC and ΔGDC.

These two angles are triangles, and they consist in both triangles.

A common side is when two angles have one vertex in the same area.

Here, we see that the common sides are ΔGE, because they intersect.

Another common side we see here is ΔAG, because they also intersect.

Hope this answer helps you!

8 0
3 years ago
Reflect the point (a) in the x-axis and (b) in the y-axis <br>(4,5)<br>and <br>(1 1/2, -1/4)
gulaghasi [49]

(4,5)

a) -4,5

b) 4,-5

(11/2 , -1/4)

a)-11/2,-1/4

b)11/2,1/4

6 0
2 years ago
A line, Z, has equation y = 5x + 3.<br> Write down an equation of a line parallel to line Z.
leva [86]

\huge\underline\color{purple}{Answer \: ☘}

y = 5x

Step-by-step explanation:

as \: the \: line \: is \: parallel \: to \: line \: z \\ hence , \\ set \:  the \: equation \: of \: the \:  line \: as \\ y = kx + b \\   \\given... \\ y = 5x + 3 \\ comparing \: the \: equations \: we \: get \:  \\ k = 5 \\  \\ hence \: the \: equation \: can \: be \: y = 5x

hope helpful~

7 0
2 years ago
Read 2 more answers
What is 18/27= help help help
padilas [110]
<span> the answer is 0.66666666666 </span>
6 0
3 years ago
The scores on a psychology exam were normally distributed with a mean of 57
olya-2409 [2.1K]

Answer:

Cutoff for a failing score is 49 and 2.28% students failed.

Step-by-step explanation:

We have been given that scores on a psychology exam were normally distributed with a mean of 57  and a standard deviation of 4.

2 standard deviation below mean would be,

57-2(4) =57-8= 49

Therefore,Cutoff far a failing score is 49.

Now let us find out the z-score for our given values,

z=\frac{x-\mu}{\sigma}

z=\frac{49-57}{4}=\frac{-8}{4} =-2

Now let us look up the probability from normal distribution table.

P(z

Therefore, percentage of students failed is 2.28%.



3 0
3 years ago
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