Answer:
D. 21
Step-by-step explanation:
Given:
m arc AC = 69
Segment AB is tangent to circle O at point A.
We need to find the ∠ ABC
Solution:
Now we can say that;
By inscribed angle theorem which states that;
"Central angle is equal to arc subtended by it."
m∠O = 69 (Central angle)
Also Given:
Segment AB is tangent to circle O at point A.
Now by radius tangent property which states that;
"Radius which touches to closet point on the tangent is always perpendicular."
so we can say that;
m∠OAB = 90
Now in Δ OAB.
m∠O = 69
m∠OAB = 90
Now we know that;
"Sum of all angles of triangle is 180."
m∠O + m∠OAB + m∠ABO = 180
Substituting the values we get;
Subtracting both side by 159 we get;
Now we can say that;
m∠ABO = m∠ ABC = 21 (same angles)
Hence m∠ ABC is 21.
Answer:
A number sentence is a mathematical sentence, made up of numbers and signs.The expressions given in examples indicate equality or inequality.A number sentence can use any of the mathematical operations from addition, subtraction, multiplication to division. Symbols used in any number sentence vary depending upon what they indicate.Number sentences can be true or they may not be true.
For example:
10 + 5 = 15. Here we are using the = sign which indicates a balance of both sides.
However, there could also be number sentences which say:
12 + 6 = 9 is not true, but 12 + 6 = 18 is true.
Therefore, a number sentence does not necessarily have to be true. However, every number sentence gives us information, and based on the information provided; it is possible to change the statement from false to true.
So, a number sentence contains numbers, mathematical operations, equal to or inequality sign and a number after the equality or inequality sign. If we remove any of these components, it will no longer be a number sentence.
Step-by-step explanation:
Answer:
9 in.
Step-by-step explanation:
Given that the line 10 in. and line 4 in. are parallel, then the two triangles are similar.
As such, the ratio of the sides would give the same results.
Hence,
4/6 = 10/(6 + x)
cross multiplying
4(6 + x) = 60
Dividing both sides by 4
6 + x = 15
collecting like terms
x = 15 - 6
= 9
