Answer:
whar state ment
Step-by-step explanation:
<h2>
Systems of Equations Word Problems</h2>
To solve these questions, we can translate key words into operations:
- <em>Difference</em> = subtract
- <em>Twice</em> = double
- <em>Less than</em> = subtract
<h2>Solving the Question</h2>
We're given:
- Difference of Annie's age and twice Carl's age is 22
- Annie's age is 13 less than 3 times Carl's age
There are two variables given two us: Annie's age and Carl's age.
- Let Annie's age be equal to <em>x.</em>
- Let Carl's age be equal to <em>y</em>.
Translate the given information into two equations:
- Difference of Annie's age and twice Carl's age is 22
⇒ 
- Annie's age is 13 less than 3 times Carl's age
⇒ 
Now, we can substitute the fist equation into the second one to solve for <em>y</em>:
Now, substitute <em>y</em> back into the second equation to solve for <em>x</em>:
<h2>Answer</h2>
Therefore, Grandma Annie is 92 years old.
Measure of the angle that is opposite the line of 88 feet:
180° - ( 22° + 148° ) = 10°
Using the Sine Law:
sin 10° / 88 = sin 22° / x
0.173648 / 88 = 0.3746 / x
x · 0.173648 = 88 · 0.3746
x = 189.84 ft
h - height of a building:
h / x = sin 32°
h = x · sin 32° = 189.84 · 0.529919 = 100.59987 ≈ 100.6 ft
Answer: A ) 100.6 feet
Answer:
Step-by-step explanation:
to do these types of problems, we must compare the slopes and the y int's
in y = mx + b form, the slope will be in the m position and the y int will be in the b position.
y = mx + b
y = -5x - 1......slope here is -5 and y int is -1
y = -5x + 7....slope here is -5 and y int is 7
learn these....it really helps
if the slopes are the same, but the y int different, there is no solution because ur lines are parallel
if the slopes are different and the y int are different, then there will be one solution
if the slopes are the same and the y int are the same, there is infinite solutions because u have the same line.
so the answer to this problem is : NO SOLUTIONS...ur lines are parallel and never cross
The degree measurement of angle A is already equal to 50 degrees.
