If A and B are supplementary angles, then:
A+B=180º
In this case:
A=44º
44º+B=180º
B=180º-44º=136º
Anser: the measure of the other angle is 136º
Answer:
The interest on the savings account is $46.47
Step-by-step explanation:
Here, we want to know the interest earned on the savings account.
The difference between the new and previous balance will be; 12,098.12 - 9,053.20 = $3,044.92
The difference between amount deposited and amount withdrawn is 3,298.45 - 300 = 2,998.45
This is the amount that is supposed to be on the account without interest
So the interest earned would be; 3044.92 - 2,998.45 = $46.47
Answer:
5cm by 1.95cm
Step-by-step explanation:
Let the length of the rectangle be x
Let the width be y
Perimeter of a rectangle = 2x + 2y
If the initial perimeter of a rectangle is about 13.9 cm, then;
13.9 = 2x + 2y ..... 1
If when the width is double the perimeter is 17.8cm, then;
17.8 = 2x + 4y ..... 2
Subtract 1 from 2;
13.9 - 17.8 = 2y - 4y
- 3.9 = -2y
y = 3.9/2
y = 1.95 cm
Substitute y = 1.95 into 1 to get x;
From 1;
13.9 = 2x + 2y
13.9 = 2x + 2(1.95)
13.9 = 2x + 3.9
2x = 13.9-3.9
2x = 10
x = 5 cm
Hence the dimension of the smaller triangle is 5cm by 1.95cm
Because we know the midpoint is in the middle, we know that both sides are equal.
So set both = to each other
4x - 1 = 3x + 3
add 1 to both sides
4x=3x+4
then subtract 3x from both sides and because there is always a 1 in front of x the answer would be
x=4
A is the answer. Hope this helps!
