Answer:
x = 60
m∠G = 114 degrees
Step-by-step explanation:
- In any parallelogram, every two opposite angles are equal in measures
In the given figure
∵ EFGH is a parallelogram
∵ ∠E and ∠G are opposite angles
→ By using the rule above
∴ m∠E = m∠G
∵ m∠E = (2x - 6)°
∵ m∠G = (x + 54)°
→ Equate them
∴ 2x - 6 = x + 54
→ Subtract x from both sides
∵ 2x - x - 6 = x - x + 54
∴ x - 6 = 54
→ Add 6 to both sides
∵ x - 6 + 6 = 54 + 6
∴ x = 60
→ Substitute the value of x in the expression of ∠G to find it
∵ m∠G = 60 + 54
∴ m∠G = 114 degrees
If they sold 89 calendars over 4 weeks, the 'equation' would look like (x = average calendars sold over 4 weeks):
If you solve it, you get:
Which is equal to
22.25. Hope this helps!
Answer:
X = 8√2.
Step-by-step explanation:
In a 45-45-90 triangle the ratio of the sides are x:x:√2 x.
So here, x = 8 and the side X = 8√2.
Answer: 2.46
Step-by-step explanation:
Formula for x-score is given by :-
, where 
= Sample mean , 
= population mean, 
= population standard deviation, n= sample size.
As per given , n=10
= $29,056
= $3,339
= $31,650
Then,
Hence, the z-score = 2.46
5
Simplify —
4
Equation at the end of step 2 :
5 6
(w - — ) - — = 0
4 7
Step 3 :
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 4 as the denominator :
w w • 4
w = — = —————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
w • 4 - (5) (4w - 5
)
——————————— = ——————
4 4
Equation at the end of step 3 :
(4w - 5) 6
———————— - — = 0
4 7
