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2 years ago

PLEASE HELP WITH MATH, PROOFS QUESTION, GIVING BRAINLIEST

Mathematics

1 answer:

vovikov84 [41]2 years ago

6 0

The Corresponding Angles Postulate states that when parallel lines cross a third line, the angles created are congruent. So the first blank should be BDE=BAC and BED=BCA.

Now we know that the triangles BDE and BAC have two sets of congruent angles. Therefore, the second blank should be AA Similarity Postulate.

Finally, the last blank is Segment Addition Postulate which states that if a point Y is on segment XZ, then XY + YZ = XZ.

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Sharon and Jacob started at the same place. Jacob walked 3 m north and then 4 m west. Sharon walked 5 m south and 12 m east. How

Ilya [14]

Consider the coordinate plane:

1. The origin is the point where Sharon and Jacob started - (0,0).

2. North - positive y-direction, south - negetive y-direction.

3. East - positive x-direction, west - negative x-direction.

Then,

if Jacob walked 3 m north and then 4 m west, the point where he is now has coordinates (-4,3);
if Sharon walked 5 m south and 12 m east, the point where she is now has coordinates (12,-5).

The distance between two points with coordinates $(x_1,y_1)$ and $(x_2,y_2)$ can be calculated using formula

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.$

Therefore, the distance between Jacob and Sharon is

$D=\sqrt{(12-(-4))^2+(-5-3)^2}=\sqrt{16^2+8^2}=\sqrt{256+64}=\sqrt{320}=8\sqrt{5}\approx 11.18\ m.$

7 0

2 years ago

3 litters were born at broadway kennel last year and each litter had 7 puppies how many puppies were born at broadway kennel las

frez [133]

3*7=21
21 puppies were born last year.

6 0

2 years ago

Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep,

Gemiola [76]

Answer:

D. 51.1

Step-by-step explanation:

#platofam

7 0

2 years ago

Read 2 more answers

Osama starts with a population of 1,000 amoebas that increases 30% in size every hour for a number of hours, h. The expression 1

Blizzard [7]

Answer: The correct option is A, itis the product of the initial population and the growth factor after h hours.

Explanation:

From the given information,

Initial population = 1000

Increasing rate or growth rate = 30% every hour.

No of population increase in every hour is,

$1000\times \frac{30}{100} =1000\times 0.3$

Total population after h hours is,

$1000(1+0.3)^h$

It is in the form of,

$P(t)=P_0(t)(1+r)^t$

Where $P_0(t)$ is the initial population, r is increasing rate, t is time and [tex(1+r)^t[/tex] is the growth factor after time t.

In the above equation 1000 is the initial population and $(1+0.3)^h$ is the growth factor after h hours. So the equation is product of of the initial population and the growth factor after h hours.