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sergij07 [2.7K]
2 years ago
11

Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm is a right triangle?

Mathematics
1 answer:
Anon25 [30]2 years ago
6 0
The pythagoream theorem (not sure if I spelled that right...lol): a^2 + b^2 = c^2......where c is the hypotenuse and it is the longest side

5^2 + 12^2 = 13^2
25 + 144 = 169
169 = 169....(correct)...so it is a right triangle
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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
Need help with number 60
vampirchik [111]
You could write 42/20 for #60.
5 0
3 years ago
Write in standard form the equation of the line that has a slope of 2 and that passes through ( 3, -1) explain please!
Evgesh-ka [11]
Standard form.

y=mx+n

Where m is the slope and n is the point where x=0. Then, you have,
y=2x+n


To obtain n use the point they give you,

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So n=-7 and then

y=2x-7
7 0
2 years ago
A waffle cone has a volume of 31.254 cubic centimeters and a radius of
arlik [135]

Answer:

4.78 cm

Step-by-step explanation:

The formula for the volume of a cone of radius r and height h is

V = (1/3)πr²h.  Here, V = 31.254 cm³ and r = 2.5 cm.  

We begin by solving V = (1/3)πr²h for the unknown height, h:

         31.254 cm³              3(31.254 cm³)            93.762 cm³

h = ------------------------  =  --------------------------  =  --------------------  ≈  4.78 cm

            (1/3)πr²                       π(2.5 cm)²               19.635 cm²

5 0
2 years ago
Please Help Will Give Brainiest! :3
Gnom [1K]
I think motorcycle is the answer.
8 0
3 years ago
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