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Liula [17]
3 years ago
15

A statement and portions of the flowchart proof of the statement are shown.

Mathematics
1 answer:
Vinvika [58]3 years ago
6 0
BAC and CAD are adjacent angles, because they share a common vertex (A) and a common side AC, (an no other common points but the points on side AC).


The 2 adjacent angles form a new larger angle (BAD), whose measure is the sum of the measures of the adjacent angles.


This is called the "Angle Addition Postulate"


Answer: A
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Zoe's Fish tank holds 27 L of water she uses a 3L container to fill the tank how many times does she have to fill the three litt
Marianna [84]
<h2>Answer:</h2>

Zoe's Fish tank holds 27 L of water, so this is the capacity of the tank. On the other hand, Zoe uses a 3L container in order to fill the tank, so the question is  how many times does she have to fill the three litter container in order to fill the fish tank? Let's solve this as follows:

First time:

She pours 3L

Second time:

She pours another 3L, but she previously poured 3L, so she has poured 6L

Third time:

She pours another 3L, but she previously poured 6L, so she has poured 9L

Fourth time:

She pours another 3L, but she previously poured 9L, so she has poured 12L

Fifth time:

She pours another 3L, but she previously poured 12L, so she has poured 15L

Sixth time:

She pours another 3L, but she previously poured 15L, so she has poured 18L

Seventh time:

She pours another 3L, but she previously poured 18L, so she has poured 21L

Eighth time:

She pours another 3L, but she previously poured 21L, so she has poured 24L

Ninth time:

She pours another 3L, but she previously poured 24L, so she has poured 27L

<em>According to this, she needs to pours the </em><em>3L </em><em>container nine times in order to fill the fish tank. This can also be solved dividing </em><em>27L/3L= 9</em>

4 0
3 years ago
You walk into a store that is closing. the pants normally cost $60.00 but it is discounted 75% they are also taking additional 2
eimsori [14]

Answer:

The final cost of the pants is $ 12.

Step-by-step explanation:

Given that at a store that is closing the pants normally cost $ 60.00 but it is discounted 75%, and they are also taking an additional 20% off, to determine what is the final price for the pants, the following calculation must be performed:

100 - 20 = 80

(60 - (60 x 0.75)) x 0.80 = X

(60 - 45) x 0.80 = X

15 x 0.80 = X

12 = X

Thus, the final cost of the pants is $ 12.

7 0
3 years ago
A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a​ single-strand electric
otez555 [7]

Answer:

dimension are 350 m and 350 m  and

area is 122500 m²

Step-by-step explanation:

Given data

perimeter is 700 m

to find out

the largest area and its​ dimensions

solution

we consider x and y are the sides

so area is xy

perimeter is 2x+ y = 700

so we can say y = 700 -2x

so area will be = x (700 - 2x)

area = 700x - 2x²

we take derivative here and equal to zero

dA/dt = 700x - 2x²

700 - 4x = 0

x = 700/4

x = 175

so will be

y = 700 -2x

y = 700 -2(175)

y = 350

so dimension are 350 m and 350m

area is 122500 m²

3 0
3 years ago
What is the value of z?
UNO [17]

Answer:

z =23

Step-by-step explanation:

The three angles in a triangle add to 180 degrees.

62+95+z = 180

Combine like terms

157 +z = 180

Subtract 157 from each side

157-157 +z = 180-157

z =23

3 0
3 years ago
The vertices of a swimming pool are E(5, 5), F(5, 20), G(35, 20), and H(35, 5). The endpoints of a line that divides the pool in
sleet_krkn [62]

Answer:

Step-by-step explanation:

Download pdf
3 0
3 years ago
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