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IgorC [24]
3 years ago
14

if the ratio of matts age to carlys age is 2/3, in ten years the ratio will be 4/5. how old is matthew?

Mathematics
1 answer:
Dima020 [189]3 years ago
7 0
Matthew should be 14 yrs old
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Help....................................DDDDDDDDDDDDDDDDDDDDDDDDDDD
m_a_m_a [10]

Answer:

Step-by-step explanation:

a). Since, ΔABC ~ ΔWYZ

Their corresponding sides will be proportional.

\frac{AB}{WY}=\frac{BC}{YZ}= \frac{AC}{WZ}

\frac{194}{WY}=\frac{BC}{1}= \frac{130}{WZ}  --------(1)

By applying Pythagoras theorem in ΔABC,

AB² = AC² + BC²

BC² = AB² - AC²

BC² = (194)² - (130)²

BC² = 20736

BC = 144

From equation (1)

\frac{194}{WY}=\frac{144}{1}= \frac{130}{WZ}

\frac{194}{WY}=\frac{144}{1}

WY = \frac{194}{144}

WY = \frac{97}{72} = 1.35

\frac{144}{1}= \frac{130}{WZ}

WZ = \frac{130}{144}

WZ = \frac{65}{72} = 0.90

b). tan(A) = \frac{\text{Opposite side}}{\text{Adjacent side}}

               = \frac{144}{130}

               = \frac{72}{65}

Since, ΔABC ~ ΔWYZ,

∠A ≅ ∠W

Therefore, tangent of angle A and angle W will measure \frac{72}{65}.

8 0
2 years ago
18 2by5-4 1by10 find the difference
luda_lava [24]

Given:

The expression is:

18\dfrac{2}{5}-4\dfrac{1}{10}

To find:

The difference.

Solution:

We have,

18\dfrac{2}{5}-4\dfrac{1}{10}

It can be rewritten as:

=\dfrac{90+2}{5}-\dfrac{40+1}{10}

=\dfrac{92}{5}-\dfrac{41}{10}

Taking LCM, we get

=\dfrac{184-41}{10}

=\dfrac{143}{10}

=\dfrac{140+3}{10}

=14\dfrac{3}{10}

Therefore, the value of the difference is 14\dfrac{3}{10}.

3 0
3 years ago
5. A real-estate agent is trying to determine the relationship between the distance a 3-bedroom home is
pshichka [43]
Hi bro I am going out of the way for the first class and then I’ll be back to work and I 6565567665666 and I can send you the email address so you please send me a text message me when I can see it
8 0
3 years ago
Population density is a measure of how crowded an area is. The population density of Australia is approximately 7.6 people per s
nasty-shy [4]

Answer:

  2957.3 people per square mile

Step-by-step explanation:

2949.7 more than 7.6 is ...

  7.6 +2949.7 = 2957.3 . . . . people per square mile in Bangladesh

4 0
3 years ago
Read 2 more answers
Find the slope of the line y = 1/8x - 1.
konstantin123 [22]
The slope of the line is 1/8.

The slope is always attached to the x.

Hope this helps!!
6 0
2 years ago
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