Somebody please help me with this geometry work
1 answer:
Answer:
m∠EGF = 65° and m∠CGF = 115°
Step-by-step explanation:
Given;
∠EFG = 50°
EF = FG
Solution,
In ΔEFG m∠EFG = 50° and EF = FG.
Since triangle is an isosceles triangle hence their base angles are always equal.
∴
Let the measure of ∠EGF be x.
∴
Now by angle Sum property which states "The sum of all the angles of a triangle is 180°."
m∠EFG + m∠FEG + ∠EGF = 180
Hence
m∠EGF = 65°
Also 'The sum of angles that are formed on a straight line is equal to 180°."
m∠EGF + m∠CGF = 180°
65° + m∠CGF = 180°
m∠CGF = 180° - 65° = 115°
Hence m∠EGF = 65° m∠CGF = 115°
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Answer:
After 3 weeks they both will have the same amount in their savings account.
Step-by-step explanation:
Given:
Amount saved by Haley = $155
Amount saved by Hank = $230
Amount saving each week by Haley = $10
Amount spending each week by Hank = $15
We need to find Number of weeks when both both will have same amount in savings account.
Solution:
Let Number of week be 'x'.
Total Amount of Haley can be calculated by Amount saved by Haley plus Amount saving each week by Haley multiplied by number of weeks.
framing in equation form we get;
Total Amount of Haley =
Also;
Total Amount of Hank can be calculated by Amount saved by Hank minus Amount spending each week by Hank multiplied by number of weeks.
framing in equation form we get;
Total Amount of Hank =
Now we need to find the number of weeks when both will have same amount.
To find the same we will have to make both the equation equal.
So we can say.
On Solving above equation we get;
We will combine the like terms together;
Now Dividing both side by 25 using Division property of equality we get;
Hence, After 3 weeks they both will have the same amount in their savings account.