Answer:
m∠RQS = 72°
m∠TQS = 83°
Step-by-step explanation:
m∠RQS +m ∠TQS = m∠RQT
The two angles combine to make a larger angle
So
m∠RQS = (4x - 20)
m∠TQS = (3x + 14)
(4x - 20) + (3x + 14) = 155
Group the Xs and the constants
4x + 3x - 20 + 14 = 155
Combine like terms
7x - 6 = 155
Add 6 to both sides
7x = 161
Divide by 7 on both sides
x = 23
Check:
4(23) - 20 + 3(23) + 14 = 155
92 - 20 + 69 + 14 = 155
155 = 155
But we need to find m∠RQS and m∠TQS. So plug in x = 23 to the values.
m∠RQS = 4(23) - 20 = 72°
m∠TQS = 3(23) + 14 = 83°
Checking:
72 + 83 = 155
9x(12+7)
distribute the 9x
108x+63
Answer:
x = 16
Step-by-step explanation:
The figure shown shows an inscribed angle F and central angle E. Both angles intercept the same arc.
Therefore, angle E is twice the measure of angle F, according to the central angle theorem of a circle.
Thus,
m<E = 2 * m<F
(x + 94)° = 2(55)
We can find the value of x with this equation.
x + 94 = 110
Subtract 94 from both sides
x = 110 - 94
x = 16
Answer:
The question would've given you to what number you should round up your answer.
Answer is:
Whole number:
63%
1 decimal place:
63.3%
2 decimal places:
63.33%
Exact number:
%
Step-by-step explanation:
So the starting no. = 30
Ending no. = 11
In order to evaluate the percentage of decrease we:
(Ending number/starting number) * 100
So:
%
To find the Decrease percentage:
100 % - 110/3 %
= 63.333%
