Answer:
x = 50
Step-by-step explanation:
When two secants intersect in the interior of a circle, the angles formed are the average of the arc an angle and its vertical intercept. In this case, our angle, 73, should be the average of x and 96. We can translate this to an equation and solve:

x + 96 = 146
x = 50
Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
Given
Definition of equilateral.
Definition of equilateral.
Substitution
Angle Addition
Angle Addition
Substitution
Substitution
Definition of equilateral
Definition of equilateral
Side-Angle-Side Congruence*
CPCTC
* SAS Congruence:
PA = BA
∠PAC = ∠QAB
AC = AQ
Step-by-step explanation:
<h3>
Need to FinD :</h3>
- We have to find the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0.

Here, we're asked to find out the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0. In order to find the solution we're gonna use trigonometric ratios to find the value of sinθ and cosθ. Let us consider, a right angled triangle, say PQR.
Where,
- PQ = Opposite side
- QR = Adjacent side
- RP = Hypotenuse
- ∠Q = 90°
- ∠C = θ
As we know that, 13 cosθ - 5 = 0 which is stated in the question. So, it can also be written as cosθ = 5/13. As per the cosine ratio, we know that,

Since, we know that,
- cosθ = 5/13
- QR (Adjacent side) = 5
- RP (Hypotenuse) = 13
So, we will find the PQ (Opposite side) in order to estimate the value of sinθ. So, by using the Pythagoras Theorem, we will find the PQ.
Therefore,



∴ Hence, the value of PQ (Opposite side) is 12. Now, in order to determine it's value, we will use the sine ratio.

Where,
- Opposite side = 12
- Hypotenuse = 13
Therefore,

Now, we have the values of sinθ and cosθ, that are 12/13 and 5/13 respectively. Now, finally we will find out the value of the following.

- By substituting the values, we get,


∴ Hence, the required answer is 17/7.
Answer:
1.
336-6=330
330÷6=55
55 Students in each bus
2.
242-11=231
231÷7=33
Each book was 33 dollars
3.
5+30+100=135
The smallest number is 5
4.
18-3=15
15÷8=1.8
Each candy bar was 1.8 dollars
5.
14-9=5
Her allowance is 5 dollars
6.
4+20+60=84
The smallest number is 4
7.
12-7=5
5×2=10
She had 10 in the begining
Answer:
seven thousand
Step-by-step explanation: