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photoshop1234 [79]
3 years ago
13

Given that points A, B, and C are the midpoints of their respective sides, which of the following is true about the figure? ANSW

ERS: A) ∠Y ≅ ∠Z B) ∠X ≅ ∠ACB C) || D) ||

Mathematics
1 answer:
Tems11 [23]3 years ago
8 0

Answer:

The correct option is;

\overline{YZ}\left |  \right | \overline{AC}

Step-by-step explanation:

The dimensions given are;

YX = 2 × AX (A = midpoint of YX)

ZX = 2 × CX (C = midpoint of ZX)

∠X and ∠X are congruent (Reflexive property)

Therefore, triangle XAC is similar to triangle XYZ (SAS similarity theorem)

Since ∠XYZ = ∠XAC segments YZ and AC are parallel from having equal angle on the same  side of the transversal YX

Therefore the correct option should be;

\overline{YZ}\left |  \right | \overline{AC}

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The power is the probability that the assembly process is not stopped when it should be because a high number of defective items
choli [55]

Answer:

B. The power is the probability that the assembly process continues because the proportion of items that must be rejected has not increased.

Step-by-step explanation:

The probability is the percentage which determines the occurrence of an event. The probability measure is of power determines that the assembly process will continue because the proportion of the items that must be rejected is not increased.

4 0
3 years ago
Two cities have nearly the same​ north-south line of 110 degrees Upper W. The latitude of the first city is 23 degrees Upper F c
inn [45]

Answer:

CORRECTED QUESTION:

Two cities have nearly the same​ north-south line of 110 degrees Upper W. The latitude of the first city is 23 degrees Upper N, and the latitude of the second city is 36 degrees N. Approximate the distance between the cities if the average radius of Earth is 6400 km.

ANSWER: 1452.11 km

Step-by-step explanation:

Since the two cities both lies on the Northern latitude of the sphere along  the same longitude, we are going to subtract the angles the latitude that each city subtend at the equator.

36 - 23 = 13 degrees   i.e the angles between the with two cities on a cross section the large circle formed by the longitude and its center.

Applying   the formula for the length of an arc on a sector on the large circle  

(∅/ 360) x 2πR

where, ∅ = is the angle between the two cities

R = radius of the Earth.

13/360 x 2 x π x 6400 = 1452.11 km

7 0
3 years ago
The average weight of a 7-year old girl is 49 pounds. The average weight of an 11 year old girl is 77 pounds.
Aneli [31]
I only know D. but I'll try to figure out the rest too. D. 9 years old

8 0
3 years ago
If you know how many CD's Mickey orders,can you determine how much money he spends?Write the correspondering expression.
Setler [38]

no not until u know the price of a cd u cant determine the total price
4 0
3 years ago
A trimming operation at a local manufacturer produces rods whose length conforms to unifrom distribution with a minimum of 18cm
MariettaO [177]

Answer:

The probability that randomly selected road will be at least 25.8 cm long will be 48%.

Step-by-step explanation:

Given: uniform distribution with min and max values of 18 and 33 respectively.

To find : probability density for upper cumulative frequency i.e 25.8 at least means x\geq25.8  upto 33 cm i.e the maximum limit of function.

Solution:

we have by definition , of uniform distribution

we get , probability density function defines as :

<em>F(x,a,b)= </em>\frac{1}{b-a}<em>   </em>a\leq x\leq b

            =1/(33-18)=1/15=0.0667.

this is probability density function.

here the x=25.8 , a=18 and b=33

for lower cumulative frequency it defines as ;

P(x,a,b)=\frac{x-a}{b-a} =25.8-18/33-18=0.52

for upper cumulative frequency it defines as ;

Q(x,a,b)=b-x/b-a=33-25.8/33-18=0.48

here at least 25.8 cm probability means it should be greater than a value(18cm) hence it is provided by the upper cumulative frequency

i.e. Q(x,a,b)=0.48

The probability that randomly selected road will be at least 25.8 cm long will be 48%.

7 0
3 years ago
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