Answer:
a). x = 11
b). m∠DMC = 39°
c). m∠MAD = 66°
d). m∠ADM = 36°
e). m∠ADC = 18°
Step-by-step explanation:
a). In the figure attached,
m∠AMC = 3x + 6
and m∠DMC = 6x - 49
Since "in-center" of a triangle is a points where the bisectors of internal angles meet.
Therefore, MC is the angle bisector of angle AMD.
and m∠AMC ≅ m∠DMC
3x + 6 = 8x - 49
8x - 3x = 49 + 6
5x = 55
x = 11
b). m∠DMC = 8x - 49
= (8 × 11) - 49
= 88 - 49
= 39°
c). m∠MAD = 2(m∠DAC)
= 2(30)°
= 60°
d). Since, m∠AMD + m∠ADM + m∠MAD = 180°
2(39)° + m∠ADM + 66° = 180°
78° + m∠ADM + 66° = 180°
m∠ADM = 180° - 144°
= 36°
e). m∠ADC = 
= 
= 18°
"Energy equals mass times the speed of light squared." On the most basic level, the equation says that energy and mass (matter) are interchangeable; they are different forms of the same thing. Under the right conditions, energy can become mass, and vice versa.
Answer:
Total number of shares is to increase by 12.8%
Step-by-step explanation:
After increase the number of shares will be 87984. hope this helps you :)
Answer: Y and Y'' are congruent after the translation, but not after the dilation.
Step-by-step explanation:
We know that we generally prefer rigid transformations if want to create congruent images.
There are three basic kinds of rigid transformations:
1) rotation 2) reflection 3) translation
So, they all create congruent images.
But a dilation does not create congruent images because it creates an image of similar same shape as the original but not the same size.
Given : Triangle XYZ is translated and then dilated by a scale factor of 4 centered at the origin.
Then, the correct option is "Y and Y'' are congruent after the translation, but not after the dilation."
