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sashaice [31]
3 years ago
14

4.2 on a number line

Mathematics
1 answer:
atroni [7]3 years ago
4 0

Answer:

Vertical or Horizontal? anyways. . . x~D

Step-by-step explanation:

4 1/5 units to the right of 0 on a horizontal number line, and 4 1/5 units above 0 on a vertical number line

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Find the distance between M(-2,3) and N(8,2)
AnnZ [28]

Answer:

d=\sqrt{101}

Step-by-step explanation:

Distance Formula: d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Simply plug in your 2 coordinates into the distance formula to find distance <em>d</em>:

d=\sqrt{(8-(-2))^2+(2-3)^2}

d=\sqrt{(8+2)^2+(-1)^2}

d=\sqrt{(10)^2+1}

d=\sqrt{100+1}

d=\sqrt{101}

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3 years ago
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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
True or False
Lana71 [14]

Answer:

T

F

F

I think hope this helps

Step-by-step explanation:

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