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2 years ago

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

Mathematics

1 answer:

kirza4 [7]2 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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MARKING BRAINLIESTTT!!! PLUS 30PTS EARNED!! HELP ASAPP PLZZZ!!!!

Elza [17]

Answer:

1. 9 < s < 17

2. 5 < MN < 19

3. AD > BD

Step-by-step explanation:

1. The triangle inequality tells you the sum of any two sides of a triangle must exceed the length of the other side. (Some versions say, "must be not less than ..." rather than "must exceed.") In practice, this means two things:

the sum of the shortest two sides is greater than the length of the longest side
the length of any side lies between the sum and the difference of the other two sides

Here, we can use the latter fact to write the desired inequality. The difference of the given sides is 13 -4 = 9; their sum is 13 +4 = 17. The third side must lie between 9 and 17. If that side length is designated "s", then ...

9 < s < 17

(If you don't mind a "triangle" that looks like a line segment, you can use ≤ instead of <.)

2. Same as (1) using different numbers.

12 -7 < MN < 12 +7

5 < MN < 19

3. Side CD is congruent to itself, and side CA is shown congruent to side CB. This means the requirements of the Hinge Theorem are met. That theorem tells you the longer side is opposite the greater angle:

AD > BD

7 0

2 years ago

The legs of a isosceles triangle are 0.3 foot less then twice the base . The perimeter of the triangle is 4.9 feet .

kicyunya [14]

<h2>Greetings!</h2>

Answer:

The legs are 1.9 feet long

And the base is 1.1 feet long.

Step-by-step explanation:

Firstly, you need to find the value of x.

You need to add all the sides together:

2x - 0.3 + 2x - 0.3 + x

Simplified =

5x - 0.6

And this equals 4.9:

5x - 0.6 = 4.9

Next, you need to move the -0.6 over to the other side, making sure to make it a positive:

5x = 4.9 + 0.6

5x = 5.5

Now divide each side by 5:

$\frac{5x}{5} = \frac{5.5}{5}$

x = 1.1

As the image is unclear of what side you are finding the length of:

2x - 0.3 = 1.9 feet long

And the base is 1.1 feet long.

<h2>Hope this helps!</h2>

4 0

2 years ago

Read 2 more answers

Please help me<br> solve (x+3) (x+7)

vodka [1.7K]

Step-by-step explanation:

Here, we'll need to multiply these two values together. I'll use the expansion formula, which goes as follows:

$(a+b)(c+d)$

Expand

$ac + ad + bc + bd$

Lets apply this to the following equation:

$(x+3) (x+7)$

Expand.

$(x*x) + (x * 7) + (3 * x) + (3 * 7)$

Simplify.

$(x^2) + (7x) + (3x) + (21)$

Remove parenthesis and add.

$x^2+10x+21$

Answer:

x^2+10x+21

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2 years ago

A segment with endpoints A (2, 1) and C (4, 7) is partitioned by a point B such that AB and BC form a 3:2 ratio. Find B.

sdas [7]

$\bf ~~~~~~~~~~~~\textit{internal division of a line segment} \\\\\\ A(2,1)\qquad C(4,7)\qquad \qquad \stackrel{\textit{ratio from A to C}}{3:2} \\\\\\ \cfrac{A\underline{B}}{\underline{B} C} = \cfrac{3}{2}\implies \cfrac{A}{C} = \cfrac{3}{2}\implies 2A=3C\implies 2(2,1)=3(4,7)\\\\[-0.35em] ~\dotfill\\\\ B=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em] ~\dotfill$

$\bf B=\left(\cfrac{(2\cdot 2)+(3\cdot 4)}{3+2}\quad ,\quad \cfrac{(2\cdot 1)+(3\cdot 7)}{3+2}\right)\implies B=\left( \cfrac{4+12}{5}~,~\cfrac{2+21}{5} \right) \\\\\\ B=\left(\cfrac{16}{5}~~,~~\cfrac{23}{5} \right)\implies B=\left( 3\frac{1}{5}~~,~~4\frac{3}{5} \right)$

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2 years ago

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3(X + 3) 3/4 = 81 <br> what is the answer

Genrish500 [490]

Answer:

the correct answer would be 33

Step-by-step explanation:

hope this helps :)

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1 year ago