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Rom4ik [11]
10 months ago
9

Drag a statement or reason to each box to complete this proof.

Mathematics
1 answer:
alukav5142 [94]10 months ago
8 0

The table to complete the proof is as follows

Equation                                                              statement

1. m∠ABD = 60°, m∠DBC=40°                               Given

2. m∠ABD + m∠DBC = m∠ABC               Angle Addition Postulate

3. 60° +  40° = m∠ABC                           Substitution Property of Equality

4. 100° = m∠ABC                                                  Simplifying

5. ∠ABC is an obtuse angle.                       greater than 90 degrees

6. △ABC is an obtuse triangle.                Definition of obtuse triangle

<h3>What is obtuse angles?</h3>

When an angel is greater than 90 degrees the angle is said to be an obtuse angle.

For the question solved here m∠ABC is greater than 90 degrees hence an obtuse angle.

Read more on angles here: brainly.com/question/25716982

#SPJ1

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A square rug has an inner square in the center. The side length of the inner square is x inches and the width of the outer regio
Gwar [14]

Answer: area of the outer part of the​ rug= 16 -x²

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a square: Side²

Since the area of the rug including the inner square is:  

Area of the rug = 4² =16 in²

And the area of the inner square is equal to:

Area if the inner square = x²

To obtain the area of the outer part of the rug we have to subtract the area of the inner square to the area of the rug.

Area of the outer part of the rug= 16 -x²

Feel free to ask for more if needed or if you did not understand something.

6 0
2 years ago
I don't know if it's supposed to do with (n-2)180 <br> Also please explain :D
Sindrei [870]

Step-by-step explanation:

sum \:  of \:  interior  \\ \:  angels  \: is  \: 2340 \:  degrees. \\ (n−2)⋅180=2340 \\ 180n - 360=2340  \\ 180n = 2700 \\ n=15 \\  number \:  of \:  sides=15

the polygon is 15 sided.

6 0
2 years ago
Explain how you know that 88 is a solution to the equation 1/8x=11
zhuklara [117]
Rearrange the equation so that x = 11 divided by 1/8
Solve for x (11 divided by 1/8 = 88)
5 0
2 years ago
The quotient of c and 6
Elena L [17]

Answer:

"a quotient of a number and 6" refers to n6 or n÷6 .

Step-by-step explanation:

r. Let's let n be the "number". Therefore, "a quotient of a number and 6" refers to n6 or n÷6 .

4 0
2 years ago
Very hard must need solving ​
Mama L [17]
The ratio is 5:1:3 as there is 25:5:15 which is all divisible by 5 making the simplest ratio in that order
8 0
2 years ago
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