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:
Option A
Step-by-step explanation:
We know that the "3x ? 2" line must be positive, so it cannot be C or D. The other line is negative, so the "2x ? 5" line must be -2x. This gets rid of option B, leaving us with our answer of A!
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer: Yoko=24, Rafael=57, Jim=19
<u>Step-by-step explanation:</u>
Yoko: x + 5
Rafael: 3x
Jim: x
Yoko + Rafael + Jim = Total text messages
x + 5 + 3x + x = 100
5x + 5 = 100
5x = 95
x = 19
************
Yoko: x + 5 = (19) + 5 = 24
Rafael: 3x = 3(19) = 57
Jim: x = 19
I think the answer would be D
