Answer:
The sum of all exterior angles of BEGC is equal to 360° ⇒ answer F only
Step-by-step explanation:
* Lets revise some facts about the quadrilateral
- Quadrilateral is a polygon of 4 sides
- The sum of measures of the interior angles of any quadrilateral is 360°
- The sum of measures of the exterior angles of any quadrilateral is 360°
* Lets solve the problem
- DEGC is a quadrilateral
∵ m∠BEG = (19x + 3)°
∵ m∠EGC = (m∠GCB + 4x)°
∵ The sum of the measures of its interior angles is 360°
∴ m∠BEG + m∠EGC + m∠GCB + m∠CBE = 360
∴ (19x + 3) + (m∠GCB + 4x) + m∠GCB + m∠CBE = 360 ⇒ add the like terms
∴ (19x + 4x) + (m∠GCB + m∠GCB) + m∠CBE + 3 = 360 ⇒ -3 from both sides
∴ 23x + 2m∠GCB + m∠CBE = 375
∵ The sum of measures of the exterior angles of any quadrilateral is 360°
∴ The statement in answer F is only true
2 miles-12 min.
3 miles- 18min
4 miles-24 min
5 miles-30 min
3 miles- 18
4 miles-24
5 miles-30
6 miles-36
Yes they are the same
Answer:
32.625 m
Step-by-step explanation:
You have the proportion ...
18 cm : ___ m = 22.4 cm : 40.6 m
This can be rearranged to ...
___ m/(18 cm) = (40.6 m)/(22.4 cm)
Multiplying by 18 cm gives ...
___ m = (40.6 m)·(18/22.4)
___ m = 32.625 m
Answer:
360 hours
Step-by-step explanation:
When trying to find the number of hours out of the number of days someone has been doing something, assuming that she spent all 15 days traveling with no rest, you just multiply however many days (In this case, 15 days) by 24 hours.
This gives us the equation 15 times 24, which then equals 360.
A way I check these is that I divide however many hours I got by 24 and make sure it equals our first number.
We get the equation 360 divided by 24, which does, in fact, equal 15.
Answer:
f(- 1) = 3
Step-by-step explanation:
To evaluate f(- 1) substitute x = - 1 into f(x) , that is
f(- 1) = (- 1)² - 5(- 1) - 3 = 1 + 5 - 3 = 3
