Answer:
x + 50° + 70° = 180°
or, x + 120° = 180°
or, x = 180° - 120°
•°• x = 60°
Step-by-step explanation:
x + 50° + 70° = 180° ( Due to Straight line )
Answer:
M∠DEC equals 123º.
Step-by-step explanation:
The sum of a triangle's three angles always equal 180º. The exterior angle, x, equals the two non-adjacent interior angles.
180 - {(x - 45)+(x - 12)} = m∠DEC
m∠DEC + x = 180
<u>(x - 45) + (x - 12) = x</u>
Solving for x:
(x - 45) + (x - 12) = x
x - 45 + x - 12 = x Remove parenthesis
2x - 57 = x Combine like terms
2x = x + 57 Add 57 to both sides
<u>x = 57</u><u> Subtract x from both sides</u>
Finding m∠D:
x - 45 = ?
<u>57 - 45 = </u><u>12º </u>
Finding m∠C:
x - 12 = ?
<u>57 - 12 = </u><u>45º </u>
<em>** </em><em>(Checking x: 12 + 45 = 57) </em><em>**</em>
<em>Finding </em>m∠DEC:
AC is a straight line, and because straight lines are equivalent to 180º, we subtract 57 from 180:
180 - 57 = 123º
Hope this helps,
❤<em>A.W.E.</em><u><em>S.W.A.N.</em></u>❤
Answer:
Y=-3x-3
Step-by-step explanation:
Answer:1:1000
Step-by-step explanation:
It’s 1:1000 because compared to the other one the height of the model would be 9.3 centimeters if 1:1000 was the scale of the model
Answer:
Check below
Step-by-step explanation:
There are rigid transformations that produce congruent figures: translation, rotation, and one transformation that produces a similar figure, namely: Dilation.
1) Toyota: translation, and Dilation.
Two ellipses translated within a larger ellipse.
2) 2 Reflections, or 4 rotations of the pre-image
We have two ways of drawing this figure. Either by reflection of the right and the lower one or by rotation.
3) CBS: Dilation of the circumference, inside a rhombus.
4) Mitsubishi: Reflection about the y axis, Rotation for the figure up.
e) Reflection
f) Translation
