Answer:
x+7>5 there it is pay more attention in class cause that's cake
Answer:
Step-by-step explanation:
Given
See attachment for figure


Required
The scale factor (k)
Since point C is the center of dilation, the scale factor (k) is calculated using:

So, we have:



Answer:
Either 7 or 23 - read note
Step-by-step explanation:
Substitute m for 8.
*Note: I'm not sure if anything is in parentheses so there are two possible answers depending on whether you want it done left to right or by order of operations*
Left to Right:
3(8) - 3 ÷ 3
24 - 3 ÷ 3
21 ÷ 3
7
Order of Operations:
3(8) - 3 ÷ 3
24 - 3 ÷ 3
24 - 1
23
45 because, the short side is half of the big size. That might be correct. But I'm almost positive
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>❤