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grandymaker [24]
3 years ago
10

What is the value of the fourth term in a geometric sequence for which ay =

Mathematics
1 answer:
enot [183]3 years ago
5 0

Answer:

a₄ = 1.25

Step-by-step explanation:

Given that,

First term of GP, a₁ = 10

The common ration of GP, r = 0.5

The nth term of the GP is given by :

a_4=a_1r^{n-1}\\\\a_4=a_1r^3\\\\a_4=10\times (0.5)^3\\\\a_4=10\times 0.125\\\\a_4=1.25

So, the fourth term of the GP is 1.25.

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Step-by-step explanation:

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3 years ago
The triangles are congruent. Find the length of each hypotenuse.
Zina [86]
If the triangles are congruents:
1) AC must be congruent with FE→AC=FE→y+3=2y+1→
y+3-y-1=2y+1-y-1→
2=y→y=2

2) CB must be congruent with ED→CB=ED→5x+7=6x+2y→
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Replacing y=2 in the equation above:
x+2y=7→x+2(2)=7→x+4=7→x+4-4=7-4→x=3

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6 0
3 years ago
Solve for the exterior angle NEEDD HELP FAST
Sauron [17]

Answer:

x=76 degrees

Step-by-step explanation:

x+59=135

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6 0
3 years ago
What is the equation of the line that passes through the given point and is perpendicular to the given line?
skad [1K]

Step-by-step explanation:

Hey there!

The equation of a line which passes through the point (1,1) is <em>(y-1) = m1 (x-1)...............(i)</em> {using one point formula}

Also, another equation which is perpendicular to the line is <em>y = 1/5 x + 4/5..........(ii)</em>

Comparing equation (ii) with y= mx+c, we get;

Slope (m2) = 1/5.

Now, As per the condition of perpendicular lines,

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Therefore, m1 = -2.

Keeping the value of m1 in equation (i) we get;

y-1 = -2(x-1)

y-1 = -2x+1

or, y+2x-2= 0

Therefore, the required equation is 2x+y-2= 0.

Hope it helps!

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3 years ago
What is 4 fifths the same as
dimaraw [331]
It is the same as 8 tenths
8 0
3 years ago
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