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spayn [35]
3 years ago
15

What is the format of this proof? Given: ∠ABC is a right angle, ∠DBC is a straight angle Prove: ∠ABD is a right angle

Mathematics
2 answers:
satela [25.4K]3 years ago
3 0

Answer:

Given : ∠ABC is a right angle, ∠D BC is a straight angle.

To prove :∠AB D is a right angle.

Proof: ∠ ABC = 90°[ Given]

    ∠ D BC= 180° [ D BC is a straight line]

now, ∠ AB D and ∠ AB C are adjacent angles forming linear pair.

∠ AB D +∠ AB C =180° [By linear pair axiom]

⇒∠ AB D + 90= 180°

⇒∠ AB D=180°-90°

⇒∠ AB D=90°

∠AB D is a right angle

Hence proved.




GuDViN [60]3 years ago
3 0

Answer:

It's a two column proof.

Step-by-step explanation:

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A number is as much greater than 21 as it is less than 75 .find the number​
laiz [17]

Answer:

46

Step-by-step explanation:

Let number is x greater than 21 and x less than 71.

Now, according to question,

21+x=71−x

2x=50

x=25

So, required number is 21+x=21+25=46.

Alternatively,

The required number would be the average or mean of 21 and 71.

So, required number =

2

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7 0
3 years ago
1 hundreth is how many times greater than 1 thousandths? Pls helppp
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Answer:

1 hundreths is 10 times greater than 1 thousandths.

Step-by-step explanation:

just like 100 is ten times greater than 10.

4 0
3 years ago
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Factor the expression 54x+8154x+81 using the GCF.<br> 54x+81=54x+81=
nadya68 [22]
We know that GCF stands for Greatest Common Factor and hence we need to apply this in solving the given problem. The solution is shown below:
54x+8154x+81
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8208X+81
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304x+3
The answer for the factored expression is 304X + 3.

6 0
3 years ago
together Xavier,Yolanda,and Zachary have $4.44 . if each person has the same amount , how much money does each person have?
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Give the equation of the line that is perpendicular to y= (1/2)x -1 and passes through the point (3,4)
nexus9112 [7]

Answer: y = -2x + 10

Step-by-step explanation:

Two lines are said to be perpendicular if the product of their slope = -1, that is , if m_{1} is the slope of the first line and m_{2} is the slope of the second line , if the two lines are perpendicular , then m_{1}m_{2} = -1

The equation of the line given :

y = 1/2x - 1

comparing with the equation of line in slope intercept form

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Therefore :

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To find the equation of the line with slope -2  and passes through the point ( 3 , 4 ) we will use the formula

y-y_{1} = m (x-x_{1} )

y - 4 = -2 ( x - 3 )

y - 4 = -2x + 6

y = -2x + 6 + 4

y = -2x + 10

7 0
3 years ago
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