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3 years ago

2. What is the value of x? Show your work.

Mathematics

1 answer:

Setler79 [48]3 years ago

6 0

Answer:

Step-by-step explanation:

Comparing the two similar triangles

JK/MN = JL/MP

25/30 = 20/(4X - 4)

CROSS MULTIPLY

25(4X - 4) = 30 × 20

100X - 100 = 600

COLLECTING LIKE TERMS

100X = 600 + 100

100X = 700

DIVIDING THROUGH BY 100

X = 700/100

X = 7

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adelina 88 [10]

Answer:

875

Step-by-step explanation:

20x5=100

10x30=300

15x30=450

5x5x2=50/2

7 0

2 years ago

Read 2 more answers

I’m stuck can some one help me

abruzzese [7]

Answer:

3) Midpoint is (-4,0.5)

Option A is correct.

4) Midpoint is (2.5,0)

Option B is correct.

5) The factors are (x+4)(x-7)

Option C is correct.

6) The factors are (x+4)(x+2)

Option A is correct.

Step-by-step explanation:

Question 3

Find midpoint of the following:

(2,-7), (-10,8)

The formula used to find midpoint is: $Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )$

We have $x_1=2, y_1=-7, x_2=-10,y_2=8$

Putting values and finding midpoint

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\Midpoint=(\frac{2-10}{2},\frac{-7+8}{2} )\\Midpoint=(\frac{-8}{2},\frac{1}{2} )\\Midpoint=(-4,0.5 )$

So, Midpoint is (-4,0.5)

Option A is correct.

Question 4

Find midpoint of the following:

(2,-10), (3,10)

The formula used to find midpoint is: $Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )$

We have $x_1=2, y_1=-10, x_2=3,y_2=10$

Putting values and finding midpoint

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\Midpoint=(\frac{2+3}{2},\frac{-10+10}{2} )\\Midpoint=(\frac{5}{2},\frac{0}{2} )\\Midpoint=(2.5,0 )$

So, Midpoint is (2.5,0)

Option B is correct.

Question 5

Factor each completely

$x^2-3x-28$

We will break the middle term and find factors

$x^2-3x-28\\=x^2-7x+4x-28\\Taking\:common\\=x(x-7)+4(x-7)\\=(x+4)(x-7)$

So, the factors are (x+4)(x-7)

Option C is correct.

Question 6

Factor each completely

$x^2+6x+8$

We will break the middle term and find factors

$x^2+6x+8\\=x^2+4x+2x+8\\=x(x+4)+2(x+4)\\=(x+4)(x+2)$

So, the factors are (x+4)(x+2)

Option A is correct.

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2 years ago

What is the difference graphing sin(x)/cos(x) and sec(x)/csc(x)?

cupoosta [38]

Step-by-step explanation:

1. secx / cscx

2. sinx /cosx

7 0

2 years ago

The boy the apartment building is filling a pool 30 ft long 20 feet wide and 5 feet deep it has been filled 4 ft deep how many m

inn [45]

Capacity of the pool = 30 x 20 x 5 = 3000 ft³

Amount of water already filled = 30 x 20 x 4 = 2400 ft²

Amount of water needed to full the pool = 3000 - 2400 = 600 ft²

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Answer: 600 ft² of water is needed to fill up the pool.
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4 0

3 years ago

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Find equations of the line that is parallel to the z-axis and passes through the midpoint between the two points (0, −4, 9) and

Lorico [155]

Answer: x = -4, y = 0.5, z = 5 +t

Hi!

The line L whose direction is parallel to vector V a passes through point A

is parametrized

$P_L = Vt + A$