Answer:
x = 3
y = 2
Step-by-step explanation:
When 2 triangles are congruent, they will have exact same 3 sides length and exact same 3 angles measure.
So we can say:
-2x + 6y = 6
and
-7x + 8y = -5
Let's multiply first equation by 7 and 2nd equation by -2, to get:
7 [-2x + 6y = 6] = -14x +42y = 42
and
-2 [-7x + 8y = -5] = 14x - 16y = 10
Now adding these 2 new equations and solving for y:
-14x +42y = 42
14x - 16y = 10
----------------------
26y = 52
y = 52/26
y = 2
Now we put y = 2 into 1st equation (or any other) and solve for x:
-2x + 6y = 6
-2x + 6(2) = 6
-2x + 12 = 6
6 = 2x
x = 6/2
x = 3
Answer:
a = 46
b = 20
c = 15
b+c ≤ a
20 + 15 ≤ 46
61 ≤ 46
Step-by-step explanation:
Answer:
3. adjacent; 49
4. adjacent; 71
5. verticle; 41
6. adjacent; 14
Step-by-step explanation:
ok basically if the angles are next to each other, then they're adjacent and if they're across from eachother they're verticle.
to find 3:
set both equations equal to each other and solve because verticle angles are equal
to find 4:
add the 2 equations together and set it equal to 180 because adjacent angles add up to equal either a complementary angle or supplementary depending on the problem
Answer:
R = 90
Step-by-step explanation:
Triangles will always equal 180 degrees. If you add 61 + 29 = 90. If two of the three angles already equal 90 degrees, then you would subtract 180 - 90. Therefore, the remaining angle would have to be 90 degrees.