Answer:
B.) 113°
Step-by-step explanation:
In the isosceles trapezoid, angles T and S are congruent. Find the value of x:
Subtract 4x from both sides:
Add 38 to both sides:
Divide both sides by 3:
x is equal to 15. Now substitute the value of x into the one of the expressions:
or
The angles T and S are 67°.
The angles of a trapezoid will always add up to a total of 360°, so add the angles T and S:
Subtract their total from 360:
The total of the angles Q and R is 226°. Since this is an isosceles trapezoid, those two angles are also congruent. Divide the value by 2:
Angle R is 113°.
Done.
Answer:
64 3/16 miles
Step-by-step explanation:
Total distance walked = 16 3/4 miles = 67/4 miles (converted to improper fraction to help with division later)
number of days walked = 4 days
Miles walked per day = total distance walked ÷ number of days
= 16 3/4 ÷ 4
= 67/4 ÷ 4
= 67/4 x 1/4
= 67/16
= 64 3/16 miles
Answer:
The length of DF must be between 21 and 53.
Step-by-step explanation:
In a triangle, the length of two sides added together must exceed the length of the 3rd side. So, since EF is the shortest of the two givens, we know that EF + DF must be greater than DE. So we can plug in these numbers to find the minimum.
EF + DF > DE
16 + DF > 37
DF > 21
Now, for the upper maximum, we know that the two given lengths must be greater than the length of DF. So again, we can solve for the maximum using the amounts.
DE + EF > DF
37 + 16 > DF
53 > DF
With these two in mind, we know that DF must be between 21 and 53
I suppose that the correct answer could be
2y=7
Answer:
0.46 newtons
Step-by-step explanation:
For these kinds of problems, you can employ the formula
where E represents the field in N/C, F represents the force in newtons, and q represents the charge in coulombs. You can therefore set up the following equation:
(following sig figs)
Hope this helps!
