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3 years ago

1. If AABD - AHGE and AC and HF are angle

Mathematics

1 answer:

Nikolay [14]3 years ago

6 0

Answer:

9.6

Step-by-step explanation:

Find the diagram attached. Using the similarity theorem of triangles

AC/AD = FH/EH

Given

AC = 24

AD = 35

FH = x

EH = 14

Substitute into the formula

24/35 = x/14

Cross multiply

35×x = 24×14

35x = 336

x = 336/35

x = 9.6

Hence the value of x is 9.6

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svlad2 [7]

Answer:

its rather B or C

Step-by-step explanation:

c(c)=y

so the slope is Y=2x+2

the reason why its rather B or C is because of the axis

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3 0

3 years ago

What is the determinant of the coefficient matrix of the system {4x+3y+2z=0 -3x+y+5z=0 -x-4y+3z=0

slava [35]

Answer:

130

Step-by-step explanation:

You want the determinant of the matrix ...

$\left[\begin{array}{ccc}4&3&2\\-3&1&5\\-1&-4&3\end{array}\right]$

One way to figure it is as the difference between the sum of products of the down-diagonals and the sum of products of the up-diagonals:

D = (4)(1)(3) +(3)(5)(-1) +(2)(-3)(-4) -(-1)(1)(2) -(-4)(5)(4) -(3)(-3)(3)

= 12 -15 +24 +2 +80 +27

D = 130

The determinant of the coefficient matrix is 130.

_____

Many scientific and graphing calculators and web sites can perform this calculation for you.

7 0

3 years ago

Find the number to add to x^2-18x

pentagon [3]

Answer:

A. add 81; $(x-9)^2$

Step-by-step explanation:

The perfect square formula

$(a-b)^2=a^2-2ab+b^2$

Rewrite expression $x^2-18x$ as follows:

$x^2-2\cdot 9\cdot x$

So, to form a perfect square, $+9^2$ is missed.

When we add $9^2=81,$ we will get

$x^2-2\cdot 9\cdot x+9^2=(x-9)^2$

4 0

3 years ago

On Call 3.5 hours: $10 Talk Time 1/2 hours: $1.25 What is the unit rate in dollars per hour for each company?

mafiozo [28]

On Call's unit rate is about $2.86 per hour, since $10/3.5 hours= $2.86/1 hour
Talk Time's unit rate is about $2.50 per hour, since $1.25/0.5 hours= $2.50/1 hour

3 0

3 years ago

Surface area and volume

Wittaler [7]

Triangular prism
length of slanted side:
sqrt(3^2 + 4^2) = 5
SA = 2(1/2)(8)(3) + 8(12) + 2(5)(12) =240
V = (1/2)(8)(3)(12) = 144

cuboid
SA = 2(7x6) + 2(7x5) + 2(6x5) = 214
V = 7x6x5 = 210

6 0

3 years ago