Given:
PQRS is a circle, PQT and SRT are straight lines.
To find:
The value of x.
Solution:
Since PQRS is a circle, PQT and SRT are straight lines, therefore, PQRS isa cyclic quadrilateral.
We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.
Now, SRT is a straight line.
(Linear pair)
...(i)
According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.
Using exterior angle theorem in triangle QRT, we get
Therefore, the value of x is 103 degrees.
Hi there! The answer is 3, 6, 7, and 9.
1,2,4,5,8, and 10 cannot be put as denominators because if so, there would be:
1. no decimals
2. termination after one or two decimal places.
Cheers!
-10th Grader Snow
<h2>
Explanation:</h2>
Hello! Recall you need to write complete questions in order to find exact answers. So in this problem I'll assume the question is:
<em>A number d minus 4 is less than -1</em>
<em />
So it is easy to know that we need to write an inequality here because of the words "less than", which implies that we must use the symbol <. So let's solve this step by step.
Step 1. A number d minus 4.
This statement includes the word "minus", so we need to use the symbol (-). Therefore:
Step 2. A number d minus 4 is less than
As we said above, here we need to use the symbol (<). So:
Step 3. A number d minus 4 is less than -1
Finally, we get:
<h2>Learn more:</h2>
Inequalities: brainly.com/question/9611462
#LearnWithBrainly
Answer:
25π
Step-by-step explanation:
1) for whole circuit: A=π*r², where r - radius of the given circle;
2) for a quater of the circuit: A=πr²/4;
3) finally, A=π*100/4=25π.
Answer:
The area is 522.935 square inches.
Step-by-step explanation:
A trapezoid's area is calculated as follows: h(b1+b2)/2
Plugging numbers in gives 34.3+12.6=46.9
so now all that's left is to multiply 22.3 and 46.9, and divide by 2.
This gives 522.935
Hope this helps!
