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
Marina CMI [18]
3 years ago
10

CONGRUENT TRIANGLES WORKSHEET. NEED ASAP DUE TODAY

Mathematics
1 answer:
WINSTONCH [101]3 years ago
3 0

Answer:

Congurent triangles are those which map onto them selves perfectly. This means they share the same angle measurements and side lengths. Therefor we can figure out the side lengths by using the information in both triangles.

AD=5x+11

in the congurent triangle, the corresponding side equals:

CM=7x-3

CM and AD are congurent triangles meaning their sidelengths equal the same. Therefore...

5x+11=7x-3

Now we just solve to find the length of AD and CM (equal lengths)

5x+11=7x-3

11=2x-3

14=2x

7=x

x=7

If x=7 then we can plug it in for AD to find the side length.

5(7)+11=46

Notice that CM equals the same 7(7)-3=46

This is because... they are congruent triangles.

These rules also apply for all angle measurements of congruent triangles:

The m<v is equal to the meaasure of E (corresponding angles in congrurent triangles are equal)

We already astablished what x was (x=7) meaning if we find the measure of E then we have the measure of V sicne they are corresponding angles in a congrurent triangle.

(6x7+1)=43°

therefore the m<v is equal to 43°

46 and 43° is your answer

Step-by-step explanation:

You might be interested in
The Roberts family is shopping for a new vehicle. They are considering a minivan or an SUV. Each vehicle has three models; stand
azamat
I believe the answer is 30.
8 0
4 years ago
Read 2 more answers
Which systems of equations intersect at point A in this graph?
abruzzese [7]

Answer:

The point of intersection of the system of equations is:

(x, y) =  (-2, 1)

The correct system of equations intersect at point A in this graph will be:

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Thus, the second option is correct.

Step-by-step explanation:

Given the point

  • A (-2, 1)

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Arrange equation variable for elimination

\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}

so

y+3x=-5

-

\underline{y-4x=9}

7x=-14

so the system of equations becomes

\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}

Solve 7x = -14 for x

7x=-14

Divide both sides by 7

\frac{7x}{7}=\frac{-14}{7}

Simplify

x = -2

For y - 4x = 9 plug in x = 2

y-4\left(-2\right)=9

y+4\cdot \:2=9

y+8=9

Subtract 8 from both sides

y+8-8=9-8

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) =  (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Thus, the second option is correct.

3 0
3 years ago
The line segment formed by joining points A (-1,y) B (0,0), and the line segment joined by forming points C (6,3) D (8,9) share
Airida [17]

Answer:

<h3>-3</h3>

Step-by-step explanation:

For two parallel lines. their slope are equal

Find the slope of each of the lines

For line A;

m = 0 -y/0+1

mA = -y/1

For line B;

mB = 9 - 3/8 - 6

mB = 6/2

mB = 3

since their slope are equal hence mA = mB

-y/1 = 3

-y = 3

y = -3

Hence the value of y is -3

8 0
3 years ago
A certain star is 2.6×102 light years from the Earth. One light year is about 5.9×1012 miles. How far from the earth​ (in miles)
navik [9.2K]

Answer:

2.5 x 10^{15} miles

3 0
3 years ago
Read 2 more answers
Based on this equation, estimate the price of a car that had been driven 56 thousand kilometers.
OLEGan [10]

Answer:

50 dollars

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Original price $45 mark down 22% ?
    13·1 answer
  • Give one real world example where you would use absolute value.
    11·2 answers
  • The following number sentence is _____________.
    13·1 answer
  • Solve the given triangles by finding the missing angle and other side lengths.
    9·2 answers
  • What is 3/15 in simplest form
    14·1 answer
  • 6(x + 2) - x = 4(x + 4) + 7<br> x = 11
    13·2 answers
  • The force needed to stop a car varies directly as its weight W and the square root of velocity V are inversely as the distance d
    9·1 answer
  • An art teacher had 2/3 gallon of paint to pour into containers if he poured 1/8
    12·1 answer
  • HELP ILL GIVE YOU BRAINLIEST <br>Determine the absolute maximum value of the function f.<br>​
    11·1 answer
  • The sum of two numbers is 55 and the difference is 15 what are the numbers
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!