Answer:
75° degree angle
Step-by-step explanation:
Since the angle 105° is in the second quadrant, subtract 105° from 180° .
180-105=75
Answer:
62
Step-by-step explanation:
well, we start by expressing the number:
a b
we understand that using the above expression, the value of the number is 10a + b
using the information in the question,
a = 3b (1)
and,
11b + 11a = 88 (2) (derived using 10a + b form)
hence, when substituting (1) into (2):
11b + 33b = 88
44b = 88
b = 2 (3)
sub (3) into (1)
a = 6
hence, the number is 62
Answer:
y + 1 = 3(x + 8)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 3 and (a, b) = (- 8, - 1) , thus
y - (- 1) = 3(x - (- 8)), that is
y + 1 = 3(x + 8)
Answer:
m=28
Step-by-step explanation:
0.1(0.5m+6)=2
Distribute
.05m +.6 =2
Subtract .6 from each side
.05m +.6-.6 = 2-.6
.05m = 1.4
Divide each side by .05
.05m/.05 = 1.4/.05
m = 28
The amount borrowed from the the lender that charges 4.4% interest is $1000.
The amount borrowed from the the lender that charges 5.7% interest is $1500.
<h3>What are the linear equations that can be derived from the question?</h3>
a + b = $2500 equation 1
0.088a + 0.114b = $246 equation 2
Where:
a = amount borrowed from the lender that charges 4.4% interest
b = amount borrowed from the lender that charges 5.7% interest
<h3>How much was
borrowed from the
lender that charges 5.7% interest?</h3>
Multiply equation 1 by 0.114
0.114a + 0.114b = 285 equation 3
Subtract equation 2 from equation 3
39 = 0.026b
b = $1500
<h3>How much was
borrowed from the
lender that charges 4.4% interest?</h3>
Substitute for b in equation 1
a + $1500 = $2500
a = $2500 - $1500
a = $1000
To learn more about simultaneous equations, please check: brainly.com/question/25875552
