Graph a line with a slope of 3 that goes through the point (1, 3).
1 answer:
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Answer:
2) ∠SDH and ∠SDT are right angles because SD ⊥ HT.
3) as it is given in the question.
4) is the reflexive property.
5) ΔSHD ≅ ΔSTD by RHS congruency.
Step-by-step explanation:
Given in the question:
In ΔSHD and ΔSTD
(Given)
(SD ⊥ HT)
(Common)
Therefore, (By RHS rule)
Reflexive property of congruency is defined as the property in which something is equal to itself. Hence, the reflexive property of these two triangles is
Answer:
13 +
or
22.43398... (depends on how you round it)
Step-by-step explanation:
1. The question stated that the radius of the circle O is 5, so the length of AO and CO is 5.
2. Since line AB and line CB are both tangent to the circle, they have the same length. CB is 8, so AB will also be 8.
--> Both triangle AOB and COB share one side, and the other side (radius) has the same length, so the third side must be the same length
3. Tangent means having a 90-degree angle with the radius. We know that the triangle AOB is a right triangle since the angle OAB is 90 degrees.
We can use the Pythagorean theorem to find side OB. OB^2 = AO^2 + AB^2.
--> OB^2 = 25 + 64
--> OB^2 = 89
--> OB =
Now that we know the lengths of all three sides, we can add them up.
--> 5 + 8 +
--> 13 +
or
--> 22.43398113....