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Studentka2010 [4]
3 years ago
11

In the process of proving that opposite sides of a parallelogram are congruent, Ross drew a diagonal of the parallelogram and de

termined that the two triangles formed are congruent. He then concluded that opposite sides must be congruent, because corresponding parts of congruent triangles are congruent.
Using his markings in the diagram, which postulate allowed him to determine that the two triangles formed are congruent?

A) AAS
B) ASA
C) SAS
D) SSS

Mathematics
1 answer:
ioda3 years ago
7 0

Answer:

(B) ASA

Step-by-step explanation:

we will verify each options

option-A:

we can see that there is no consecutive two angles

so, this postulates can not be true

so, this is FALSE

option-B:

We can see that

one angle and then side and another angle are equivalents

so, this is TRUE

option-C:

We can see that

one side and two angles are equivalents

so, this is FALSE

option-D:

we can see that

one side and two angles are equivalents

so, this is FALSE

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Evaluate each expression for the given values of the variables. SHOW ALL WORK
Reika [66]

Answer:

3(2c+d)−d

Distribute:

=(3)(2c)+(3)(d)+−d

=6c+3d+−d

Combine Like Terms:

=6c+3d+−d

=(6c)+(3d+−d)

=6c+2d

=6c+2d

Step-by-step explanation:

3 0
3 years ago
Please help me I'm stuck​
AnnZ [28]
I don’t see any typing ?
6 0
3 years ago
Write in slope intercept form an equation of the line that passes through (-2,5),(-1,1)
Juliette [100K]

Answer:

y=-4x-3

Step-by-step explanation:

Hi there!

We are given the following two points: (-2,5) and (-1,1)

We want to write the equation of the line that passes through these two lines in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, let's find the slope

The formula for the slope (m) calculated from 2 points is \frac{y_2-y_1}{x_2-x_1}, where (x_1, y_1) and (x_2, y_2) are points

We have everything we need to calculate the slope, but let's label the value of the points to avoid any confusion

x_1=-2\\y_1=5\\x_2=-1\\y_2=1

Now substitute into the formula

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{1-5}{-1--2}
Simplify

m=\frac{1-5}{-1+2}

Subtract

m=\frac{-4}{1}

Divide

m=-4

Now substitute -4 as m into the equation:

y=-4x+b

Now we need to find b

As the equation passes through both (-2, 5) and (-1, 1), we can use either point to help solve for b.

Taking (-2,5) for example:

Substitute -2 as x and 5 as y:

5=-4(-2)+b

Multiply

5=8+b

Subtract 8 from both sides

-3=b

Substitute -3 as b.

y=-4x-3

Hope this helps!

See more on this topic here: brainly.com/question/27304092

4 0
2 years ago
9th grade math should be ez I’m tired please fast
ivanzaharov [21]

Answer:

Z=BY+R

Step-by-step explanation:

B=z-r/y

separate Z by it's self. Z= B * Y

Z =BY+R

Simple easy stuff should have no problems. I would love some more math like this bring it. C:

7 0
3 years ago
How many solutions does the following equation have? ln(x2 + 4x − 5) = 0
lisov135 [29]
Alrighty
remember
log_a(b)=c means a^c=b
and
ln(x)=log_e(x)
and
x^0=1 for all real values of x
so

ln(x^2+4x-5)=0 means
log_e(x^2+4x-5)=0 means
e^0=x^2+4x-5 which simplifies to
1=x²+4x-5
minus 1 both sides
0=x²+4x-6
use quadratic formula or complete the square
x=-2+\sqrt{10} and x=-2-\sqrt{10}
2 solutions
7 0
3 years ago
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