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Tanzania [10]
3 years ago
9

If triangle RST and triangle XYZ are similar, which statement must be true?

Mathematics
2 answers:
Evgen [1.6K]3 years ago
4 0
If triangle RST and triangle XYZ are similar, the statement that must be true is :
Angle R equals angle X

Triangle      R             S                    T
Triangle      X             Y                    Z

those three angles will be similar in this case

hope this helps
tamaranim1 [39]3 years ago
4 0

Answer: angle R equals angle X

Step-by-step explanation:

We know that if two triangles are similar then the corresponding angles are equal.

Given : Triangle RST and Triangle XYZ are similar.

then angle R equals to angle X.

angle S equals to angle Y.

angle T equals to angle Z.

Now from the given options , the correct option is angle R equals angle X.

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Maureen McIlvoy, owner and CEO of a mail order business for wind surfing equipment and supplies, is reviewing the order filling
lara31 [8.8K]

Answer:

Maureen's null hypothesis is, <em>H₀</em>: <em>p</em>₁ ≥ <em>p</em>₂.

Step-by-step explanation:

Maureen McIlvoy, owner and CEO of a mail order business for wind surfing equipment and supplies wants test whether her goal of shipping 100% orders within 24 hours is achieved or not.

After reviewing the order filling operations at her warehouses she determines that neither the East coast nor the West coast warehouse has achieved the goal. But the East Coast warehouse has consistently out-performed the West Coast warehouse.

To check whether this determination is correct or not Maureen's staff randomly selected 200 orders from the West Coast warehouse (population 1) and 400 orders from the East Coast warehouse (population 2).

Of the 200 orders from the West Coast warehouse, 190 were shipped within 24 hours. And of the 400 orders from the East Coast warehouse, 372  were shipped within 24 hours.

The hypothesis can be defined as follows:

<em>H₀</em>: The proportion of orders that were shipped within 24 hours is not more for East Coast warehouse than for West Coast warehouse, i.e. <em>p</em>₁ ≥ <em>p</em>₂.

<em>Hₐ</em>: The proportion of orders that were shipped within 24 hours is more for East Coast warehouse than for West Coast warehouse, i.e. <em>p</em>₁ < <em>p</em>₂.

Thus, Maureen's null hypothesis is, <em>H₀</em>: <em>p</em>₁ ≥ <em>p</em>₂.

8 0
3 years ago
What are the restrictions on the domain of g o h?
umka21 [38]

g(x) = \sqrt{x-4} and h(x)= 2x-8

g o h is a composition function

First we find g o h

g o h is g(h(x))

We plug in h(x) in g(x)

We replace x  with 2x-8 in g(x)

g(h(x)) = g (2x-8) = \sqrt{2x-8-4} = \sqrt{2x-12}

g(h(x)) = \sqrt{2x-12}

To find domain we look at the domain of h(x) first

Domain of h(x) is set of all real numbers

now we look at the domain of g(h(x))

Negative number inside the square root is imaginary. so we ignore negative number inside the square root

So to find domain we set 2x - 12 >=0   and solve for x

2x - 12 >=0

add both sides by 12

2x >= 12

divide both sides by 2

x > = 6



5 0
2 years ago
Read 2 more answers
Equation 1: x + 3y = 1
Shalnov [3]

Answer:

Step-by-step explanation:

You will eliminate y because 3y-3y=0

5 0
3 years ago
Suppose that true average price of a beer at professional sporting events in the US is $6. You attend 34 events and find an aver
aniked [119]

Answer: The standard error for sample is 0.0686 .

Step-by-step explanation:

We know that the formula to find the standard error is given by :-

S.E.=\dfrac{s}{\sqrt{n}}

, where s = standard deviation

n= Sample size

As per given , we have

s=  $0.4  and n= 34

Then , the standard error for sample is given by :-

S.E.=\dfrac{0.4}{\sqrt{34}}=\dfrac{0.4}{5.83095189485}\\\\=0.0685994340569\approx0.0686

Hence , the standard error for sample is 0.0686 .

5 0
3 years ago
There are twenty-two more chickens than cows. The number of cows and chickens combined is 98. How many are chickens? There are 6
BabaBlast [244]

Answer:

Step-by-step explanation:

chicken=x+22

cow=x

chicken+cow=98

x+22+x=98

2x+22=98

2x=76

x=38

chicken =x+22=38+22=60

There are 60 chickens

5 0
2 years ago
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