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dimaraw [331]
3 years ago
15

Are these triangles congruent? Explain please

Mathematics
2 answers:
netineya [11]3 years ago
6 0

Answer:

Yes

Step-by-step explanation:

Congruent means equal in shape and size. It does not refer to orientation or if it is turned a certain way. If you turned the green triangle on the right to where the 7cm measurement is on the bottom and the 5cm is to the left, and the 9cm to the right, the triangles would look exactly the same. As well as the angles corresponding to the sides, for example, the 85' is between the 5cm and 7 cm on both triangles, and the 60' is between the 5cm and 9cm on both as well.

iVinArrow [24]3 years ago
5 0

Answer:

Yes

Step-by-step explanation:

Identical in form; coinciding exactly when superimposed, you just need to transform it and they will be congruent.

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Solve the equation in two different ways. Choose one method of solving in detail 5x+7(x+1) = 5x - 21
frozen [14]

Answer:

METHOD 1:

5x+7(x+1)=5x-21

5x+7x+7=5x-21

12x+7=5x-21

12x-5x=-21-7

7x=-28

x=28/7

x=4

METHOD 2:

5x+7(x+1)=5x-21

5x+7(x+1)=5x-21-5x

7(x+1)=-21

7x+7=-21

7x=-28

x=4

Step-by-step explanation:

METHOD 1:

5x+7(x+1)=5x-21

5x+7x+7=5x-21

12x+7=5x-21

12x-5x=-21-7

7x=-28

x=28/7

x=4

METHOD 2:

5x+7(x+1)=5x-21

5x+7(x+1)=5x-21-5x

7(x+1)=-21

7x+7=-21

7x=-28

x=4

6 0
3 years ago
SOLVE EACH SYSTEM USING SUBSTITUTION
NNADVOKAT [17]
1. since the equations equal each other 
2x+19=x+7
-x        -x
x+19=7
  -19  -19
x= -12
sub into y= x+7
y= -12+7
y= -5

2. x+2y=-7
<span>x+y+23=0
i don't know what the second equation is equal to, i'll assume 0

2y=x-7
y=1/2x-7/2
sub this into x+y+23=0
x+1/2x-7/2+23=0
3/2x+39/2=0
       -39/2   -39/2
3/2x= -39/2
x=-39/2 / 3/2
x= -13
sub into y=1/2x-7/2
y=1/2(-13)-7/2
y= -10

3. </span>x+5y=2
<span>x=-4y+5
</span>sub x=-4y+5 into x+5y=2
-4y+5+5y=2
y+5=2
  -5  -5
y= -3
sub y =-3 into x =-4y+5
x=-4(-3)+5
x= 17

4. 3x+y=9
<span>y=-5x+9
</span>sub -5x+9 into 3x+y=9
3x+(-5x+9)=9
3x-5x+9=9
-2x+9=9
     -9  -9
-2x=0
x=0
sub into y=-5x+9
y=-5(0)+9
y=9

3 0
3 years ago
Write an equation for slope 3, (1,2)
stellarik [79]
Start by y-k=m(x-h)
m= 3
k=2
h=1
so y-2=3(x-1)
distribute
y=3x-3+2
final answer: y=3x-1
3 0
3 years ago
Choose Yes or No to tell if the fraction 3/5 will make each equation true.
Vinvika [58]
Yes
no
no
yes
i hope it helped.
4 0
3 years ago
Read 2 more answers
Find the x intercept and y intercept for the graph of 2x-3y=6
Ksenya-84 [330]
2x - 3y = 6
-3y = 6 - 2x
y = -2 + 2/3x
3 0
3 years ago
Read 2 more answers
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