All categories

1 year ago

Please help with this geometry question.

Mathematics

1 answer:

konstantin123 [22]1 year ago

6 0

The exercise below is one that requires the proof that of certain dimensions using the rules of congruence. of triangles.

<h3>What does it mean for two angles to be congruent?</h3>

It simply means that both angles are similar in measure.

<h3>What is the required proof of the given problem?</h3>

It is given that ∠BAD=∠EAC

∠BAD+∠DAC=∠EAC+∠DAC [add ∠DAC on both sides]

Therefore ∠BAC=∠DAE

In △BAC and △DAE

AB=AD (Given)

∠BAC=∠DAE (Proved above)

AC=AE (Given)

Therefore △BAC≅△DAE (By SAS congruence rule)

Therefore BC=DE because Corresponding Parts of Congruent Triangles CPCT are congruent.

Learn more about congruence at;
brainly.com/question/385
#SPJ1

You might be interested in

My brain small so could you plz anwser his 6/11+ 2/ 3

Lena [83]

Answer:

1 7/33

Step-by-step explanation:

6/11 + 2/3 --> We need a common denominator

--> 11 x 3 = 33

33 is our common denominator

6 x 3 = 18

2 x 11 = 22

18/33 + 22/33 = 40/33

Convert to a mixed number

=> 1 7/33

Thus, we have our answer.

4 0

3 years ago

The area of a rectangular piece of cardboard is represented by

Liula [17]

This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.

Area of a rectangle:

The area of rectangle of length l and width w is given by:

$A = wl$

w(2w + 3) = 9

From this, we get that:

$l = 2w + 3, A = 9$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

In this question:

$w(2w+3) = 9$

$2w^2 + 3w - 9 = 0$

Thus a quadratic equation with $a = 2, b = 3, c = -9$

Then

$\Delta = 3^2 - 4(2)(-9) = 81$

$w_{1} = \frac{-3 + \sqrt{81}}{2*2} = 1.5$

$w_{2} = \frac{-3 - \sqrt{81}}{2*2} = -3$

Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.

Another similar problem can be found at brainly.com/question/16995958

5 0

2 years ago

How to draw a model of 23/5

raketka [301]

What type of model are you talking about?

7 0

2 years ago

Amount of money at the end of period. $14,000 per year for 15 years with 7% interest, compounded semiannually

LenaWriter [7]

Answer:

$39284

Step-by-step explanation:

formula is,

CA=p (1+r÷200)^2t

5 0

2 years ago

Find the circumference and area of the circle. Use 3.14 for it. Round to the nearest hundredth it

Rina8888 [55]

Step-by-step explanation:

hope this helped you :)) !!

6 0

2 years ago