step 1
Find the measure of angle 1
REmember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
In the triangle ABC
90+58+<1=180
148+<1=180
<1=180-148
<1=32 degrees
step 2
Find the measure of angle 2
we know that
<2=<1 -----> bt vertical angles
so
<2=32 degrees
step 3
Find the measure of angle 3
REmember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
In the triangle CDE
32+108+<3=180
140+<3=180
<3=180-140
<3=40 degrees
Maggie =x
brother = 2x-3
x+2x-3= 24
27 /3= 3 x/3
x= 9 years
Answer:
30
Step-by-step explanation:
5+5+5+5+5+5 =
30
Answer:
- $17,500 at 14%
- $16,000 at 12%
Step-by-step explanation:
Let x represent the amount loaned at 14%. Then the total interest earned is ...
0.14x +0.12(33,500 -x) = 4,370
0.02x = 350 . . . . . . . . . . subtract 4020 and simplify
x = 17500 . . . . . . . . . divide by 0.02
The amount loaned at 12% is $33,500 -17,500 = $16,000.
$17,500 was loaned at 14%
$16,000 was loaned at 12%
Answer:
<em>The threatest whole number in the interval is 2</em>
Step-by-step explanation:
<u>Numbers and intervals</u>
We are given the interval of numbers between -16 and 2. Since it's not specified, both endpoints of the interval are not included.
If we consider the interval as real numbers, then there are infinitely many numbers there, like -15, -12.56, -8, -2pi, 0.02, 1.99.
If we are restricted to only whole numbers, then we get a limited set of the numbers: {-15, -14, -13, -12,....,1}
Note the greatest number at the right endpoint of the interval is 1, since we are not including 2.
The threatest whole number in the interval is 2
