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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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Rectangles J and K are similar. If the area of rectangle J is 440, what is the area of rectangle K? I need this today
Hunter-Best [27]

Answer:

Area = 27.5

Step-by-step explanation:

Given

J_{Area} = 440

J_{Width} = 22

K_{Width} = 5.5

<em>See attachment</em>

Required

Determine the area of K

First, we need to calculate the length of the rectangle  J

J_{Length} * J_{Width} = J_{Area}

This gives:

J_{Length} * 22 = 440

Divide both sides by 22

\frac{J_{Length} * 22}{22} = \frac{440}{22}

J_{Length} = 20

So, the length of the rectangle J is 20.

Since both shapes are similar, then:

J_{Length} : J_{Width} = K_{Length} : `K_{Width}

Substitute the known values:

20 : 22 = K_{Length} : `5.5

Express as fraction:

\frac{20 }{ 22 }= \frac{K_{Length} }{ `5.5}

Make Length, the subject of formula

K_{Length} = \frac{5.5 * 20}{22}

K_{Length} = \frac{110}{22}

K_{Length} = 5

The area of K is:

Area = K_{Length} * K_{Width

Area = 5.5 * 5

Area = 27.5

4 0
3 years ago
WILL MAKE BRAINLIEST!
Stolb23 [73]
1)  <span>x + 24=95

2) 1 / 5x = 10
5x = 10/1
5x = 10
x = 10/5
x = 2

3) b/5 + 15 = 45
b = 5(45-15)
b = 150

</span>
8 0
3 years ago
Read 2 more answers
Describe the pattern in the numbers. write the next number in the pattern
noname [10]
The pattern in the first set of numbers is times 3, to find the next number multiply 54 by 3 to get 162.
The pattern in the second set of numbers is plus 4, to find the next number add 4 to 0 to get 4.
The pattern in the last set of numbers timed -3, to find the next number multiply -81 by -3 to get 243.
3 0
3 years ago
Help plsssssssssssss
sammy [17]

Answer:

\frac{x {y}^{ - 1} }{2 {x}^{0}{y}^{ - 2} }  \\  =  \frac{x {y}^{2} }{2 \times 1 \times y}  \\  =  \frac{x {y}^{2} }{2y}  \\  =  \frac{xy}{2}

<h3>(xy)/2 is the right answer.</h3>
8 0
3 years ago
PLS HELP WILL MARK YOU BRAINLIEST NO FAKE ANSWERS
Nataly [62]

Answer:

2,520 - 140x

Step-by-step explanation:

It's 140 feet per minute, so if you need to find it's height after x minutes you just plug in your value for x.

Please mark brainliest if possible and have a nice day!

6 0
3 years ago
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