Answer:
52degrees
Step-by-step explanation:
Let the measure of the largest angle be x
middle angle be y
smallest angle be z
Since the sum of angle in a triangle is 180 degrees, hence;
x + y + z = 180 .... 1
If the measure of the largest angle is 32 less than 3 times the smallest angle, then;
x = 3z - 32
3z = x+ 32
z = x+32/3 ..... 2
If he measure of the middle angle is 8 more than half the measure of the largest angle, then;
y = x/2 + 8 .... 3
Substitute 2 and 3 into 1;
x + x/2 + 8 + (x+32)/3 = 180
multiply through by 6
6x + 3x + 48 + 2(x+32) = 1080
9x + 48 + 2x + 64 = 1080
11x + 112 = 1080
11x = 1080-112
11x = 968
x = 968/11
x = 88 degrees
Get the middle angle y;
Since y = x/2 + 8
y = 88/2 + 8
y = 44 + 8
y = 52 degrees
Hence the measure of the middle angle is 52degrees
<span>(2x-3)/x^2
if the number is –2
then
[2(-2) - 3] / (-2)^2
= (-4-3)/4
= -7/4
answer is
</span><span>D. -7/4</span>
Answer:
Step-by-step explanation: 12 ur welcome
Answer:
31
Step-by-step explanation:
Distance around Pie = Pi*Diameter
Answer:
A ) The Amount which will be saved after five years is $ 5742.4
B ) The compound Interest is $ 1742.4
Step-by-step explanation:
The Principal deposited at the end of each year = $ 4000
The rate of interest = 7.5 % compounded annually
The time period = 5 years
From compounded method :
Amount = principal × 
or, Amount = $ 4000 × 
Or, Amount = $ 4000 × 
or, Amount = $ 4000 × 1.4356
∴ Amount = $ 5742.4
A ) The Amount which will be saved after five years is $ 5742.4
B ) The compound Interest = Amount - principal
Or, C I = $ 5742.4 - $ 4000 is $ 1742.4 Answer