A triangle is 180°, so the 3 angles should add up to 180°.
To find m∠R, you can do this:
m∠S + m∠R + m∠T = 180°
56° + m∠R + 30° = 180°
m∠R + 86° = 180° Subtract 56 and 30 on both sides
m∠R = 94°
2x+3y-10=0 (1)
+
4x-3y-2=0 (2)
____________
6x -12=0 (if you just want the resulting equation. It is 6x-12=0)
x=2
take x=2 and put it into equation (2)
4(2) -3y -2=0
-3y= 2-8
y= 2
(x=2,y=2)
Answer:
20 Dollars
Step-by-step explanation:
4 dollars x 5 dollars = 20 Dollars
hope this helps
Answer:
Step-by-step explanation:
1) 2x+ 4 = 10
2x = 6
x = 3 (3 is the answer)
2) we have to substitute y with 3 and z with 4
3.75*3 + 6.50*4 ≥ 50
11,25 + 26 ≥ 50
37.25 ≥ 50
so the answer is no, because the total will be $37.25
3) 12k + 2 < 12
12k < 10
k < 5/6
3/4 < 5/6 so the answer is true
4) we have to try the options
a) 3*4 + 4*2 + 6 = 26
12 + 8 + 6 = 26
26 = 26 (true)
b) 3*5 + 4*6 + 6 = 26
15 + 24 + 6 = 26
45 = 26 (false)
c) 3*4 + 4*3 + 6 = 26
12 + 12 + 6 = 26
30 = 26 (false)
d) 3*3 +4*5 + 6 = 26
9 + 20 + 6 = 26
35 = 26 (false)
so the answer is x=4 , y=2
5) 3a + 4 ≥ 13
3a ≥ 9
a ≥ 3
so the answer is {3,4.5,5}
Answer: D.
Step-by-step explanation:
The formula to find the compound amount (investment plus interest ) at the end of t years :
(1)
, where r= rate of interest ( in decimal)
P= Initial amount.
As per given , we have
P = x dollars
r = 8% = 0.08
t = 5
Put all the values in (1) , we get
Therefore , the the expression that represents the value, in dollars, of Pat's investment plus interest at the end of 5 years :
Hence, the correct answer is D.