Answer ∠DEG: 54°
Answer ∠GEF: 36°
Step 1: Write your equation
This question is asking you to determine the measurement of two angles. To begin, you must first solve for x. By looking at ∠DEH, you can see that these angles should equal 90°, since ∠DEF is equal to ∠DEH. Let’s solve for x by writing an equation using the information above. Add the two given angles and equal them to 90 degrees.
6x+4x=90
Step 2: Solve for x
To find the degrees we must first solve our created equation. We need to combine like terms then divide to get x alone.
6x+4x=90
10x=90
x=9
Step 3: Substitute x to find the degree of each angle
The last step will be the most simple. Substitute x into each angle to solve.
6x= 6(9) = 54°
∠DEG= 54°
4x= 4(9)= 36°
∠GEF= 36°
These are your answers! You can check that they are right by adding them, and ensuring that they equal 90°.
Hope this helps! Comment below for more questions.
Answer:
14x + 5 = 31
x= 13/7
2x - 3y = -29
=2x - 3y +29 =0
Step-by-step explanation:
14x + 5 = 31
first step move the +5 to the other side beside the 31 it will become -5
Then subtract the numbers 31-5 =26
14x=26
Divide both sides by 14
x= 13/7
Answer: The price after the mark up is $151.20
Step-by-step explanation:
8/100 x 140 = $ 11.20
140 + 11.20 = $ 151.20
I hope this helps in any way :)
The answer is A. sin40=6/x