Quadrilateral STRW is inscribed inside a circle as shown below. Write a proof showing that angles T and R are supplementary.
Answers
Minor point: the quadrilateral is STWR, not STRW. Vertices are named in order.
The measure of angle T is half the measure of arc WRS. The measure of angle R is half the measure of arc STW. The sum of the measures of the two arcs is the measure of a circle, 360°, so you have
... T + R = (WRS)/2 + (STW)/2
... ... = (WRS + STW)/2
... ... = 360°/2 = 180°
Since the sum of T and R is 180°, they are supplementary.
Related Questions
The environmental science club is printing T-shirts for its 15 members. The printing company charges a certain amount for each shirt plus a setup fee of $20. If the T-shirt order costs a total of $162.50, how much does the company charge for each shirt?
Two brothers, Mark and Steven, each inherit $45000. Mark invests his inheritance in a savings account with an annual return of3.2 %, while Steven invests his inheritance in a CD paying 4.5 % annually. How much more money than Mark does Steven have after1 year?
The area of triangle
What is the value of x?
Answers
Answer:
If I had to guess
Step-by-step explanation:
I would say 11 degree or 90 degree.
Sorry if I am wrong. :_;
Answer:90 degrees
Step-by-step explanation:
Answers
Answers
Answer:
60%
Explanation:
To get percentages, take the part of a population that is being specified and divided that by the whole population and multiply that value by
100%
So there are 30 people that own boxers, this is the specific population that is being compared to the whole dog-owning population, which is comprised of 50 total families. So 30 50 can be reduced to 3 5 and that gives us 0.6
When that value is multiplied by
100%, it gives us our percentage of 0.6 ⋅ 100% = 60
Answers
Answer:
q = 8o - 42
Step-by-step explanation:
Given: The given formula is q = 2o + 6p.
p = o – 7
Now we have to plug in p = o - 7 in the given formula, we get
q = 2o + 6(o - 7)
Now we use the distributive property a(b-c) =ab - ac and expand.
q = 2o + 6o -6(7)
q = 2o +6o - 42
Here 2o and 6o are the like terms, we can add them
q = 8o - 42
q = 2o + 6p
p = o – 7
⇒ q = 2o + 6(o - 7) = 2o + 6o - 6 × 7 = 8o - 42
⇒ q = 8o - 42
6 apples each and the bags with mangoes
contain 3 mangoes each. If David and his
friends ate 2 apples from each bag and 2
mangoes from each bag, what is the total
number of fruits left over?
Answers
Answer:
Step-by-step explanation: the step by step explanation is 6*4=24 so 24 apples then 3*2=6 so 6 mangoes then if 8 apples are ate then 4 mangoes are ate then (24+6)-(8+4)=30-12 so the answer is 18.
6 bags in total
4 bags x 6 apples each = 24 fruits
2 bags with 3 mangoes each= 6 fruits
Total 30 fruits
Friends ate 2 fruits from each of the 6 bags
They ate 12 fruits
30-12 = 18
Answers
Answer:
Step-by-step explanation:
Looking at the Venn diagram,
The total number of students surveyed is 7 + 5 + 8 + 6 + 2 + 4 + 3 + 6 = 41
The number of children that studies none of the subjects is 6
The number of children that study only biology is 7
The number of children that study only physics is 5
The number of children that study only physics and biology is 2
Therefore, the number of students that do not study chemistry is 6 + 7 + 2 + 5 = 20
Probability = number of favorable outcomes/total number of outcomes
Therefore, the probability that a child chosen at random does not study chemistry is 20/41 = 0.49