Answer:
k - 2e + 9 = 0
k - e - 4 = 0
Step-by-step explanation:
Given that Elena is currently e years old and Katie is k years old. Now, nine years ago, Katie was twice as old as Elena was.
So, k - 9 = 2(e - 9)
⇒ k - 2e + 9 = 0 .............. (1)
And, in four years, Elena will be as old as Katie is now.
So, k = e + 4
⇒ k - e - 4 = 0 ............... (2)
Therefore, the equations (1) and (2) matches the conditions. (Answer)
Answer:
From least to greatest, the order would go: 2.207, 2.27, 2.9, 3.76.
Step-by-step explanation:
To find the least greatest number, we have to look at each digit. In this number sequence, the least greatest number is a 2 for the single digit. With those 2s, 2.2 is the lowest out of them. And out of the 2.2s, the 2.207 is smaller than the 2.27. The 2.27 is the next number, then the 2.9 and then the 3.76.
Hope this helps! :)
<span>The names of the three eras identified on the x-axis in model 1 answers are Paleozoic, Mesozoic and Cenozoic. It can be seen from the graph that a mass extinction happened 444 million years ago in Paleozoic era, another happened 254 million years ago at end of Paleozoic era and marked the beginning of Mesozoic era. The final mass extinction happened 65 million years ago at end of Mesozoic era in which dinosaurs went extinct.</span>
Answer:
a) 1/2; reduction
b) 5/4; enlargement
Step-by-step explanation:
In each case, the scale factor is CP'/CP. When it is more than 1, the dilation is an enlargement.
Even before you run the numbers, you can tell if it is an enlargement or not. If the dilated figure is larger, P is closer to C than is P'. If P' is closer to C, then it is a reduction.
a) CP'/CP = (4-2)/4 = 2/4 = 1/2 . . . . a reduction
__
b) CP'/CP = 25/20 = 5/4 . . . . an enlargement
Answer:
Step-by-step explanation:
Remark
Read the following carefully.
There is a beautiful theorem that has to do with the endpoints of two angles sharing the same endpoints.
To be a little clearer, I hope, that makes < BAC = <BDC because both angles have B and C as their endpoints inside the circle. Make sure you understand that statement before moving on.
For this problem <BDC = <CAB = 33 degrees.
That means that ADC = 37 + 33 = 70
Solution
<ADC and CBA are opposite angles.
That means that they add to 180
From the above statement in the Remark section <ADC = 37 + 33 = 70 degrees <ABD + <DBC = <ABC = m + 71
<ABC + ADC = 180
m + 71 + 70 = 180 Combine
m + 141 = 180 Subtract 141 from both sides.
m+141-141= 180 - 141 Combine
m = 39
Answer: m = 39
