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Sergio039 [100]
3 years ago
11

In the figure, point B is the midpoint of AC . Use the figure to answer the questions.

Mathematics
1 answer:
kirza4 [7]3 years ago
4 0

Answer

Proof of (a)

Disagree with the  ΔABD = ΔCBD by the SAS congruence postulate .

SAS congurence property

In this congurence property two sides and one angle of the two triangles are equal .

(1) BD = BD ( Common sides of the  ΔABD and ΔCBD )

(2) AB =BC (B is the midpoint of the AC i.e it bisect AC in the two equal parts.)

but equal angles are not given

therefore disagree with the  ΔABD = ΔCBD  by the SAS congurence postulate .

Proof of (b)

SSS congurence property

In this congurence property three sides of the two triangles are equal .

In the ΔABD and ΔCBD .

(1) BD = BD ( Common sides of the  ΔABD and ΔCBD )

(2) AB =BC (B is the midpoint of the AC i.e it bisect AC in the two equal parts.)

(3) AD=CD  (Given )

ΔABD = ΔCBD  by the SSS congurence theorem

Hence proved


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3 years ago
Drex's and Max's ages add up to 29.Seven years ago Drex was twice as old as Max. Find their present ages​
nexus9112 [7]

Answer:

There present ages are

Drex age = 17 years

Max age  =  12 years

Step-by-step explanation:

Given as ,

The sum of age of Drex and Max = 29 years

And seven years ago Drex was twice as old as max

So , Let the Age of Drex = D   and Max age = M

I.e (D - 7 ) = 2 (M - 7)

Or, D - 7 = 2M - 14

Or, 2M - D = 7

And Also D + M = 29  

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(2M - D ) + (D + M) = 29 +7

Or,  3M = 36

I.e M = \frac{36}{3} = 12 years

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Hence there present ages are

The Age of Drex = 17 years

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6 0
3 years ago
The height of a triangle is 7 ft more than its base. if the area of the triangle is 30 ft^ what is the lentgh of the base
Dmitriy789 [7]
Since the area of a triangle is in the form
area=0.5(base)(height)
height=base+7
let base=x
area=0.5(x)(7+x)
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subtract 60 from both sides
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Identify the x-intercept and y-intercept of the equation below.
Radda [10]

Answer:

x intercept at (7/3 , 0)

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Step-by-step explanation:

9x-7y=21

we need to find x  and y intercepts

To find x intercept , plug in 0 for y

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divide by 9 on both sides

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divide by -7 on both sides

y= -3

so y intercept at (0,-3)

6 0
3 years ago
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