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WINSTONCH [101]
2 years ago
11

Plz prove the given equation!!!​

Mathematics
1 answer:
elixir [45]2 years ago
4 0

Answer:

Please see the attached picture for the full solution.

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Given: ABCD is a parallelogram and AC bisects BD.<br> Prove: AB is congruent to BC.
earnstyle [38]

Let's see

In ∆ABE and ∆CBE

  • BE=BE(Common side)
  • AE=EC[Diagonals of a parallelogram bisect each other]
  • <AEB=<BEC[90°]

So by

SAS congruence the triangles are congruent

AB=BC

  • Proved

Fact:-

It's already given AC is perpendicular to BD

  • It means diagonals are perpendicular to each other

According to general property of rhombus this parallelogram is also a rhombus.

So sides are equal hence AB =BC

3 0
1 year ago
What's the difference between using f(2) and f(x)=2?
BabaBlast [244]
F(2) means that you are plugging in 2 for x, while f(x)=2 means that the equation equals 2 (y=2) at a certain x value.
7 0
2 years ago
Desmond really like Legos. Last Saturday Desmond counted his Legos and realized that
Burka [1]

Answer: 14 red, 7 green, 44 blue

Step-by-step explanation:

First, use the letter <em>r</em> as a variable to represent the number of red Legos. The number of green Legos (<em>g</em>) is 7 less than the number of red Legos, or <em>g = r-7.</em> The number of blue Legos (b) is 2 more than 3 times the number of red Legos, or <em>b = 3r+2</em>. The total number of Legos is the number of red + green + blue Legos, which can be represented as <em>65 = r+g+b</em>.

Substitute the equations for g and b in. This should give you a final equation of <em>65 = r+(r-7)+(3r+2)</em>. To solve for the number of <u>red</u> Legos, first add up all of the terms to get <em>65 = 5r-5</em>. Now add 5 to each side (70<em> = 5r</em>). Finally, divide each side by 5 (r = 14).

To find the number of <u>green</u> Legos, substitute the number of red Legos (14) into the equation for the green Legos (<em>g = r-7</em>). This should get you the equation <em>g = 14-7</em> which simplifies to g = 7.

To find the number of <u>blue</u> Legos, substitute the number of red Legos (14) into the equation for the blue Legos (<em>b = 3r+2</em>). This gives you the equation <em>b = (3*14)+2.</em> First, multiply 3 and 14 to get <em>b = 42+2</em>. Finally, add them together to get b = 44.

6 0
2 years ago
The quadrilateral ABCD has area of 58 in2 and diagonal AC = 14.5 in. Find the length of diagonal BD if AC ⊥ BD.
MAXImum [283]
We know that

<span>The formula for the area of a quadrilateral with perpendicular diagonals is
</span>A=(0.5)*(D1*D2)
A=58 in²
D1=AC=14.5 in
D2=BD=?

so

D2=2*A/D1-----------> 2*58/14.5-----------> D2=8 in
BD=D2=8 in

the answer is
BD=8 in
5 0
3 years ago
Read 2 more answers
A student solved the following problem.
siniylev [52]

Answer:

All of them are wrong. Because the solution is t=-15.

Step-by-step explanation:

t+7=-8

t=-8-7

t=-15

8 0
3 years ago
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