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2 years ago

The triangles are similar. Write a similarity statement for the triangles.

Mathematics

1 answer:

baherus [9]2 years ago

4 0

Answer:

Option (2)

Step-by-step explanation:

In the two triangles ΔWVZ and ΔYXZ,

If the sides WV and XY are parallel and the segments WY and VX are the transverse.

∠X ≅ ∠V [Alternate angles]

∠W ≅ ∠Y [Alternate angles]

Therefore, ΔWVZ ~ ΔYXZ [By AA postulate of the similarity]

Option (2) will be the answer.

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Write and solve a word problem that can be modeled by addition of two negative numbers integers

777dan777 [17]

A word problem that can be modeled by addition of two negative numbers integers is given as followed.

Evans and Irvin are standing at the same spot. Evans took 7 steps backwards and another 7 steps backward, what is the current position of Evans relative to where Irvin is standing?

To solve the above, we note that Evans took 7 steps backwards and another 7 steps backward, thus his current position relative to Irvin is given by (-7) + (-7) = -7 - 7 = -14.

Therefore, Evans is 14 steps backwards relative to where Irvin is standing.

7 0

2 years ago

An ounce of milk contains 20 milligrams of calcium and 60 micrograms of vitamin A.

vova2212 [387]

Answer:

10 ounces of milk and 50 ounces of orange juice

Step-by-step explanation:

Let the amount of milk be x ounces and the amount of orange juice be y ounces.

1. An ounce of milk contains 20 milligrams of calcium and 60 micrograms of vitamin A. Then x ounces of milk contain 20x milligrams of calcium and 60x micrograms of vitamin A.

2. An ounce of orange juice contains 40 milligrams of calcium and 10 micrograms of vitamin A. Then y ounces of orange juice contain 40y milligrams of calcium and 10y micrograms of vitamin A.

Calcium:

20x milligrams in milk

40y milligrams in orange juice

2,200 milligrams in total

Hence,

$20x+40y=2,200$

Vitamin A:

60x micrograms in milk

10y micrograms in orange juice

1,100 micrograms in total

Hence,

$60x+10y=1,100$

Solve the system of two equations:

$\left\{\begin{array}{l}20x+40y=2,200\\ \\60x+10y=1,100\end{array}\right.$

Divide each equation by 10:

$\left\{\begin{array}{l}2x+4y=220\\ \\6x+y=110\end{array}\right.$

From the second equation:

$y=110-6x$

Substitute it into the first equation:

$2x+4(110-6x)=220\\ \\2x+440-24x=220\\ \\2x-24x=220-440\\ \\-22x=-220\\ \\22x=220\\ \\x=10\\ \\y=110-6\cdot 10=110-60=50$

6 0

3 years ago

What is the equation in point-slope form for the line parallel to y=-8x - 5 that contains j(-2, 9)

Julli [10]

Answer:

y - 9 = -8(x + 2)

Step-by-step explanation:

What is the equation in point-slope form for the line parallel to y=-8x - 5 that contains j(-2, 9)

Step 1

y intercept =

y = mx + b

y=-8x - 5

m = -8, b = -5

Point slope form

y - y1 =m( x - x1)

We are given coordinates:

j(-2, 9) = (x1, y1) where ,

x1 = -2

y1 = 9

Hence, our point slope form equation is:

y - 9 = -8(x -(-2))

y - 9 = -8(x + 2)

5 0

2 years ago

Anybody knows how to do this please help!!!

lozanna [386]

Answer:

Which problem exactly?

Step-by-step explanation:

5 0

2 years ago

Pls help me pls....

arsen [322]

Answer:d would make the most sense :)

Step-by-step explanation:

6 0

2 years ago