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Gekata [30.6K]
3 years ago
14

Pls look at this picture and answer

Mathematics
1 answer:
Pepsi [2]3 years ago
7 0

Answer:

625

Step-by-step explanation:

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Given: Tangents LA and LB, m∠AOB=110°. Find: m∠ALO.
Yuri [45]

Answer:

The measure of angle ALO = 35°

Step-by-step explanation:

* Lets talk about the tangents to a circle drawn from a point

 outside the circle:

- They are equal in length

- They are perpendicular to the radii at the point of tang-ency

- If we join the points of tang-ency withe the center of the circle

 and join the outside point with center of the circle, we

 formed two congruent triangles

* Now lets check our problem

- AL and LB are two tangents to the circle O ant points A and B

∴ LA = LB ⇒ (1)

- OA and OB are radii in circle O

∴ OA = OB ⇒ (2)

∴ OA ⊥ AL and OB ⊥ BL ⇒ radius and tangent

∴ m∠OAL = 90° , m∠OBL = 90

∴ m∠OAL = m∠OBL ⇒ (3)

* From (1) , (2) , (3)

- The two triangles LAO and LBO are congruent ⇒ SAS

- SAS is one case of congruence

∵ The lengths of two sides and the measure of the including

  angle between them in one triangle equal to the

  corresponding sides and angles in the second triangle,

  then the two triangles are congruent

∴ m∠LOA = m∠LOB

∵ m∠AOB = 110°

∴ m∠LOA = m∠LOB = 110/2 = 55°

* In ΔLAO

∵ m∠ LAO = 90° , m∠LOA = 55°

∴ m∠ALO = 180 - (90 + 55) = 180 - 145 = 35°

* The measure of angle ALO = 35°

8 0
3 years ago
Ginger is pregnant with a fifth child, a son. What is the probability that this son will be affected by Lalaphobia?
Rom4ik [11]

Answer:

We need more information to answer this question but if the other 4 children that were already born, if 2 or 3 out of the 4 were effected by Lalaphobia, then the 5th is 50% to 75% likely to be affected as well

6 0
3 years ago
Find the distance between the points (-3,2) and (4,-5)
alexandr1967 [171]
You have to use the distance formula. sqrt((x2-x1)^2+(y2-y1)^2) So sqrt((4+3)^2+(-5-2)^2). sqrt(49+49). Sqrt(98). 9.89

6 0
3 years ago
1. A given square pyramid has a slant height of 5 in.:
RideAnS [48]
B is the answer

Explanation b is the answer because I said so ;)
4 0
3 years ago
Which is is grater 0.3 or .39
NeX [460]
0.3 = 0.30

is 30 or 39 bigger / greater 
39 is so .39 is the answer

Hope this helps!!!
6 0
3 years ago
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