Answer:
41° and 49°
Step-by-step explanation:
Given:
Angle 1 and angle 2 are complementary angles.
The measures of angle 1 is 8 more than the measure of angle 2.
Question asked:
Determine the measures of angle 1 and 2.
Solution:
Let ∠1 = 
Then ∠2 = 
(given)
As we know that sum of complementary angles are 90° and here given that angle 1 and angle 2 are complementary angles which means,
∠1 + ∠2 = 90°
°
°
Subtracting both sides by 8,
°
°
Dividing both sides by 2,
°
∠1 = °
∠2 =
∠2 = 
= 49°
Therefore, the measures of angle 1 and 2 are 41° and 49°
Answer:
x+ 3/2y= 15
Step-by-step explanation:
8x+12y=120
To put the equation into standard form, the leading coefficient has to be 1. So, divide the whole equation by 8.
x+ 3/2y= 15
Answer:
D
Step-by-step explanation:
divide 10 times starting with 100.
The answer is 25/256 or 0.09765625
Answer:
x= -2.27
Step-by-step explanation:
(0.6)(x+4)=1.04 divide both sides by 0.6
x+4=1.73 subtract 4 on both sides
x= -2.27
Answer: x = 1/16
Step-by-step explanation:
Since the inverse of a Logarithm is an exponential function, we know that the final solution has to involve an exponential function somewhere in it.
1. log B(2) {x} = -4 || given
2. x = 2 ^ -4 || Logarithm rule that allows you to move the base of the logarithm to the base of the exponent on the other side. For example, if you had log B(5) {x} = 3, the base of 5 would move over to the other side and it would be raised to 3; x = 5^3.
3. x = (1) / (2^4) || Simplify. Use the negative exponent rule. This rule always leaves a numerator of 1, and a denominator of your exponent. In this case, it will be 2 ^ -4, so you will do 2^4 which is 16 and you will put that over 1. Resulting in your final answer of x = 1/16
