All categories

3 years ago

Explain why ΔADB ≅ ΔCDB. List the other corresponding parts.

Mathematics

1 answer:

anygoal [31]3 years ago

3 0

Answer:

Therefore the Correct option is First one

SAS, ∠A ≅ ∠C, AB ≅ CB , ∠ABD ≅ ∠CBD .

Step-by-step explanation:

Given:

∠BDA ≅ ∠BDC

AD ≅ CD

TO Prove

ΔADB ≅ ΔCDB

Proof:

In ΔADB and ΔCDB

AD ≅ CD ....……….{Given}

∠BDA ≅ ∠BDC …………..{Given}

BD ≅ BD ....……….{Reflexive Property}

ΔADB ≅ ΔCDB ….{By Side-Angle-Side Congruence Postulate}

∴ ∠A ≅ ∠C ......{Corresponding Parts of Congruent Triangle are Congruent}

AB ≅ CB ......{Corresponding Parts of Congruent Triangle are Congruent}

∠ABD ≅ ∠CBD {Corresponding Parts of Congruent Triangle are Congruent}

You might be interested in

A company did a quality check on all the packs of roasted almonds it manufactured. Each pack of roasted almonds is targeted to w

user100 [1]

Answer:

x < 21.01 or x > 21.49 because |x - 21.25| > 0.24

Step-by-step explanation:

We know that each pack of almonds is targeted to weigh 21.25 oz.and a pack must weigh within 0.24 oz of the target weight to be accepted.

Assuming x to be the weight of a given pack of almonds, we can write it as:

$|x-21.25| > 0.24$

Now finding the range of rejected masses (x) of the almonds.

$|x-a| >b$

$-b$

$|x-21.25| >0.24$

$-0.24>(x-21.25)>0.24$

$-0.24>x-21.25$ or $x-21.25>0.24$

$x$ or $x>21.49$

Therefore, the correct answer option is x < 21.01 or x > 21.49 because |x - 21.25| > 0.24.

4 0

4 years ago

Find the midpoint of A and B where A has coordinates (2,7) and B has coordinates (6,3).

Veronika [31]

Given that the coordinates of the point A is (2,7) and the coordinates of the point B is (6,3)

We need to determine the midpoint of A and B

Midpoint of A and B:

The midpoint of A and B can be determined using the formula,

$Midpoint =(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Substituting the points (2,7) and (6,3) in the above formula, we get;

$Midpoint =(\frac{2+6}{2}, \frac{7+3}{2})$

Adding the numerator, we have;

$Midpoint =(\frac{8}{2}, \frac{10}{2})$

Dividing the terms, we get;

$Midpoint =(4, 5)$

Thus, the midpoint of the points A and B is (4,5)

7 0

3 years ago

100 if u get this right!

Dafna11 [192]

2 because it is the number being added to the zero intercept in the equation

5 0

3 years ago

Read 2 more answers

Neil took his family of five out to dinner at HogTastic Pit BBQ. They all ordered the buffet and drink at $12.80 each. Neil left

Sav [38]

After tax bill = 5*12.80(1+ 0.075)
total = 5*12.80(1+ 0.075) ( 1 + 0.15)= $79.12

3 0

3 years ago

Read 2 more answers

Convert the equation y= -4x + 2/3 into general form equation and find t the values of A,B and C.

alukav5142 [94]

Answer:

Standard form: $12x+3y-2=0$

A = 12, B = 3 and C = -2

Step-by-step explanation:

Given:

The equation:

$y= -4x + \dfrac{2}3$

To find:

The standard form of given equation and find A, B and C.

Solution:

First of all, let us write the standard form of an equation.

Standard form of an equation is represented as:

$Ax+By+C=0$

A is the coefficient of x and can be positive or negative.

B is the coefficient of y and can be positive or negative.

C can also be positive or negative.

Now, let us consider the given equation:

$y= -4x + \dfrac{2}3$

Multiplying the whole equation with 3 first:

$3 \times y= 3 \times -4x + 3 \times \dfrac{2}3\\\Rightarrow 3y=-12x+2$

Now, let us take all the terms on one side:

$\Rightarrow 3y+12x-2=0\\\Rightarrow 12x+3y-2=0$

Now, let us compare with $Ax+By+C=0$ .

So, A = 12, B = 3 and C = -2

6 0

3 years ago