What is the reason for step 3 of this proof?

W=1/9(x+y-z) what’s the answer please help

KatRina [158]

Answer:

1/9x+1/9y-1/9z

Step-by-step explanation:

3 0

3 years ago

How can I find the value of X?

BARSIC [14]

Answer:

D

Step-by-step explanation:

Remark

The first thing you must do is notice that <D = <BEA. Mark it that way on your diagram.

The Second thing you need to notice is that <BEA and <A are equal because <A and <D are marked as equal.

So both the large triangle and the small one are isosceles. because 2 of the 3 angles are equal.

Now are you ready for this? That means that BA = 10 because BA is opposite one of the 2 equal angles in the small triangle. So now you are ready to set up a proportion.

Proportion

AB / AC = AE/AD

Givens

AB = 10

AC = 18

AE = 8

AD = x + 8

Solution

Substitute the Givens into the Proportion.

10/18 = 8/(x + 8) Cross multiply

10(x + 8) = 8 * 18 Simplify both sides

10x + 80 = 144 Subtract 80 from both sides

10x + 80 - 80 = 144 - 80

10x = 64 Divide by 10

10x/10 = 64/10

Answer: x = 6.4

5 0

2 years ago

Write an equation of a parabola that passes through the point (2,4) with vertex (-1,-1) in vertex form.

quester [9]

An applicable equation of a vertical parabola in vertex form is:

y-k = a(x-h)^2

Let x=2, y=4, h=-1 and k=-1, where (h,k) is the vertex. Then,

4-(-1) = a(2-[-1])^2, which becomes 5 = a(9). Therefore, a = 5/9, and the
equation of the parabola is

y+1 = (5/9)(x+1)

8 0

2 years ago

Nani needs to buy 8 cups of fresh pineapple for a fruit cocktail. the table shows the unit prices of pineapple at different stor

snow_lady [41]

Nani could purchase her pineapple from stores A, D, and E.

Given Information

It is given that Nani needs to purchase 8 cups of pineapple.

The unit prices of pineapple at each store is as follows,

Store A : 0.49

Store B : 0.51

Store C : 0.55

Store D : 0.48

Store E : 0.45

Amount that Nani has = $4

Reason Behind Purchasing From Either A, D, or E

Since Nani has amount of $4, she can purchase pineapple only from the stores where the total cost of 8 pineapple cups adds up to less than $4. The purchase of 8 pineapple cups at each store would be given as,

Store A : 0.49(8) = $3.92

Store B : 0.51(8) = $4.08

Store C : 0.55(8) = $4.40

Store D : 0.48(8) = $3.84

Store E : 0.45(8) = $3.60

As it can be seen, Nani can purchase from the store A, D, and E as it falls within her budget of $4.

Learn more on purchase here:

brainly.com/question/24112214

#SPJ4

5 0

1 year ago

Niles and Bob sailed at the same time for the same length of time. Niles' sailboat traveled 36 miles at a speed of 6 mph, while

kykrilka [37]

Answer:

Niles and Bob were traveling for 6 hours.

Step-by-step explanation:

The speed or rate at which an object is moving can be computed using the formula:

$s=\frac{d}{t}$

Here:

s = speed

d = distance traveled

t = time taken

It is provided that Niles and Bob sailed at the same time for the same length of time.

Speed of Niles sailboat is, s₁ = 6 mph.

Distance traveled by Niles' sailboat is, d₁ = 36 miles.

Speed of Bob's sailboat is, s₂ = 16 mph.

Distance traveled by Bob's sailboat is, d₂ = 96 miles.

It took both Niles and Bob the same time to travel the respective distance.

Compute the time it took Niles to travel 36 miles at 6 mph speed as follows:

$t_{1}=\frac{d_{1}}{s_{1}}$

$=\frac{36}{6}\\=6$

It took Niles 6 hours to travel 36 miles at 6 mph speed.

Compute the time it took Bob to travel 96 miles at 16 mph speed as follows:

$t_{2}=\frac{d_{2}}{s_{2}}$

$=\frac{96}{16}\\=6$

It took Bob 6 hours to travel 96 miles at 16 mph speed.

Thus, Niles and Bob were traveling for 6 hours.

7 0

3 years ago