Answer:
35.29
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given:
Right ∆ with,
Hypotenuse = x
Opposite = 9
Reference angle 
= 39°.
Required:
The value of x
Solution:
Since we are given a reference angle with opposite length, and we are to find the hypotenuse length, x, apply the following trigonometric ratios formula:
Plug in the values into the equation
Multiply both sides by x
Divide both sides by sin(39)
(to 2 decimal places)
To make the equations you must first get the percents and make them into a decimal. then multiply the money by the decimal
EX: $230.76 with a profit of 30%
First make the percent a decimal to do so move the . over to the left two times resulting in the number .30
so the equation is 230.76(.30)
which equals 69.228
now simplify it making the answer $69.23
now to get the store price, add manufacture price with the %30 of the the MP resulting in the answer
$299.99
Answer:
1)m<ABH=121°
2)m<GDF=59°
3)X=35
4)m<ABC=59°
5)m<EDA=59°
Step-by-step explanation:
1. You want to find X, so since the two expressions are Alternate Interoir Angles they equal each other
5x-54=3x+16
5x-3x-54=3x-3x+16
2x-54=16
2x-54+54=16+54
2x=70
2x/2=70/2
X=35
2. Now plug in X to each equation to test if it works
5(35)-54=3(35)+16
175-54=105+16
121=121
3. Now replace the two expressions with 121
4. Let's begin with <ABH. Since <ABH is verticle to 3x+16 they equal each other.
5. <GDF is right next to 5x-54 and they're on the same line meaning they equal 180°. So 180-121=59, this is also the reasoning with <EDA with 5x-54 and <ABC with 3x+16
NOTE: THIS ONLY IS TRUE IF LINE HC AND LINE GE ARE PARALLEL.
