1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bas_tet [7]
3 years ago
7

What additional information would he need to prove the triangles are congruent using the Side-Angle-Side method?

Mathematics
1 answer:
garri49 [273]3 years ago
3 0

Answer:

\angle A \cong \angle D

Step-by-step explanation:

Two ∆s can be considered to be congruent to each other using the Side-Angle-Side Congruence Theorem, if an included angle, and two sides of a ∆ are congruent to an included angle and two corresponding sides of another ∆.

∆ABC and ∆DEF has been drawn as shown in the attachment below.

We are given that \overline{AB} \cong \overline{DE} and also \overline{AC} \cong \overline{DF}.

In order to prove that ∆ABC \cong ∆DEF using the Side-Angle-Side Congruence Theorem, an included angle which lies between two known side must be made know in each given ∆s, which must be congruent accordingly to each other.

The included angle has been shown in the ∆s drawn in the diagram attached below.

Therefore, the additional information that would be need is:

\angle A \cong \angle D

You might be interested in
Which fraction is equivalent to negative 4 over -9
boyakko [2]
I hope this helps you

8 0
3 years ago
Please help... I really need this.
valentinak56 [21]

Answer:

\frac{4x^3-3x^2+5x+6}{x+6}=4x^2-27x+167-\frac{996}{x+6}

Step-by-step explanation:

The division problem given to us is (4x^3-3x^2+5x+6)\div (x+6).

To perform the synthetic division, we write out the coefficient of the polynomial. We set the linear factor to zero and solve for x, this becomes our divisor. That is x+6=0\implies x=-6.

We carry out the synthetic division as shown in the attachment.

The result of the synthetic division is 4   -27   167   -996

The first three terms are the coefficients of the quotient and the last term is the remainder.

Therefore the quotient is q(x)=4x^2-27x+167 and the remainder is r(x)=-996.

The dividend, the quotient and the divisor are written as

\frac{4x^3-3x^2+5x+6}{x+6}=4x^2-27x+167-\frac{996}{x+6}

The correct answer is A

3 0
3 years ago
Luis hizo un viaje en el coche en el cual consumio 20 l de gasolina. el trayecto lo hizo en dos etapas en la primera consumio 2/
algol13

Answer: 24\ liters

Step-by-step explanation:

Let be "x" the amount of gasoline in liters that the car's tank had at the beginning of the trip.

 1. In the first part of the trip the amount of gasoline the car used can be expressed as:

 \frac{2}{3}x

2. After the first part of the trip, the remaining was:

x-\frac{2}{3}x=\frac{1}{3}x  

3. In the second part of the trip the car used \frac{1}{2} of the remaining. This is:

(\frac{1}{3}x)(\frac{1}{2})=\frac{1}{6}x

4. The total amount ot gasoline used in this trip was 20 liters.

5. Then, with this information, you can write the following equation:

\frac{2}{3}x+\frac{1}{6}x=20

6. Finally, you must solve for "x" in order to find its value. This is:

\frac{2}{3}x+\frac{1}{6}x=20\\\\\frac{5}{6}x=20\\\\5x=120\\\\x=24

3 0
3 years ago
Find the value of x .<br><br> x/4 = 15/20<br><br> x=
OLga [1]

Answer:

its 3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Can someone plz help me with this one?
castortr0y [4]
Hey!!
The Answer is option B
as (2x-3)(2x+3)
=4x²-9
8 0
3 years ago
Read 2 more answers
Other questions:
  • Given a sphere with a radius of 5 cm, find its volume to the nearest whole number.
    10·1 answer
  • What is the derivative of the following function? f(x) = 4x^6/cos^5(x)
    11·1 answer
  • The price of an item yesterday was $140. Today, the price rose to $238. Find the percentage increase.
    12·1 answer
  • If ∠T and 60˚ form a linear pair what is the measure of ∠T *​
    14·1 answer
  • Find the zero or zeroes of the function. Please help! :((
    5·1 answer
  • Tan^2x+sec^2x=1 for all values of x. <br> true or false?
    10·2 answers
  • Write the standard equation of the circle with the given Center and radius:
    8·1 answer
  • What are the angle measures given the figure is a rhombus???
    5·1 answer
  • Rewrite the equation by completing the square.
    8·1 answer
  • 21.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!