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Dima020 [189]
2 years ago
3

The ages of mark and adam add up to 28 years total. mark is 20 years older than adam. how many years old is adam

Mathematics
1 answer:
AnnZ [28]2 years ago
4 0
Let x be the age of Mark, and y be the age of Adam. From the relationships given, we can formulate the following equations:

Eqn 1: x + y = 28
Eqn 2: x = 20 + y

Subsituting Eqn 2 to Eqn 1,
20 + y + y = 28
2y = 28 - 20 = 8
y = 8/2 = 4

Therefore, Adam is 4 years old.
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Use Pythagorean identities to prove whether ΔLMN is a right, acute, or obtuse triangle. Show all work for full credit.
diamong [38]

Answer:  The given triangle LMN is an obtuse-angled triangle.

Step-by-step explanation:  We are given to use Pythagorean identities to prove whether ΔLMN is a right, acute, or obtuse triangle.

From the figure, we note that

in ΔLMN, LM = 5 units, MN = 13 units  and  LN = 14 units.

We know that a triangle with sides a units, b units and c units (a  > b, c) is said to be

(i) Right-angled triangle if b^2+c^2=a^2,

(ii) Acute-angled triangle if b^2+c^2>a^2,

(iii) Obtuse-angled triangle if b^2+c^2

For the given triangle LMN, we have

a = 14, b = 13 and c = 5.

So,

b^2+c^2=13^2+5^2=169+25=194,\\\\a^2=14^2=196.

Therefore,  b^2+c^2

Thus, the given triangle LMN is an obtuse-angled triangle.

5 0
2 years ago
Find the amount of time.<br> I=$450, P=$2400, r=7.5%<br> Help!
faust18 [17]
I = PRT.....rearrange = I / PR = T
I = 450
R = 7.5%...turn to decimal = 0.075
P = 2400

I / (PR) = T
450 / (2400 * 0.075) = T
450 / 180 = T
2.5 = T...so time is 2.5 years, or 2 1/2 years
8 0
2 years ago
The equation shown has a missing value. -2(2x-?)+1=17-4x. For what missing value(s), if any, does the equation have exactly one
faust18 [17]

Answer:

(4x-16)+1

Step-by-step explanation:

ABOVE^

8 0
2 years ago
Yesterday's World Cup final had viewing figures of 138,695,157.<br><br> What is the value of the 3?
crimeas [40]

Answer:

The value of the 3 is 30,000,000.

Step-by-step explanation:

From the digit at the right, you go multiplying each element by 10 powered to a counter that starts at zero and increases at every digit. So:

Our counter is i

i = 0;

v(7) is the value of the 7

v(7) = 7*10^{0} = 7

i = 1;

v(5) is the value of the 5

v(5) = 5*10^{1} = 50

i = 2;

v(1) is the value of the 1

v(1) = 1*10^{2} = 100

i = 3;

v(5) is the value of the 5

v(5) = 5*10^{3} = 5,000

i = 4;

v(9) is the value of the 9

v(9) = 9*10^{4} = 90,000

i = 5;

v(6) is the value of the 6

v(6) = 6*10^{5} = 600,000

i = 6;

v(8) is the value of the 8

v(8) = 8*10^{6} = 8,000,000

i = 7;

v(3) is the value of the 3

v(3) = 3*10^{7} = 30,000,000

The value of the 3 is 30,000,000.

8 0
2 years ago
An individual is hosting a cookout for the kick ball team. The individual wants to have two hot dogs for each guest, and 6 extra
hoa [83]

Answer:

Option 2) y = 26    

Step-by-step explanation:

We are given the following in the question:

The individual wants to have two hot dogs for each guest, and 6 extra hot logs in case some teammates bring friends.

Thus, the dependent variable is the number of hot dogs.

\text{y: Number of hot dogs}

The independent variable is the number of teammates.

\text{x: Number of teammates}}

Thus, the linear relation between the dependent and the independent variable is given as:

y(x) = 2x + 6

We have to find the value of dependent variable when independent variable is 10

For x = 10

y(10) = 2(10) + 6 = 26

Thus, the correct answer is

Option 2) y = 26

3 0
2 years ago
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