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ale4655 [162]
3 years ago
10

Suppose that MNO is isosceles with base NM. Suppose also that =m∠N+4x7° and =m∠M+2x29°. Find the degree measure of each angle in

the triangle.

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
8 0

Answer:

m∠N = 51°

m∠M = 31°

m∠O = 98°

Step-by-step explanation:

It is given that ΔMNO is an isosceles triangle with base NM.

m∠N = (4x + 7)° and m∠M = (2x + 29)°

By the property of an isosceles triangle,

Two legs of an isosceles triangle are equal in measure.

ON ≅ OM

And angles opposite to these equal sides measure the same.

m∠N = m∠M

(4x + 7) = (2x + 29)

4x - 2x = 29 - 7

2x = 22

x = 11

m∠N = (4x + 7)° = 51°

m∠M = (2x + 9)° = 31°

m∠O = 180° - (m∠N + m∠M)

         = 180° - (51° + 31°)

         = 180° - 82°

         = 98°

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Answer:

Step-by-step explanation:

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We want to find

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3 years ago
7y^2+15x-22. Y=4. ×=5
Nutka1998 [239]

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Quick please! Which best describes the triangle? 1.Acute and isosceles 2.Acute and scalene 3. Right isosceles 4.Obtuse and isosc
rjkz [21]

Answer:

hey there!!!

Step-by-step explanation:

i think the best option is acute and isosceles from my view

hope it helps you...

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Lesson 13.3 Checkpoint
Arte-miy333 [17]

Answer:

a. LK = 4√3, JL= 4√6

b.  PQ = 10√3, RP = 5√3

Step-by-step explanation:

a. LK =4√3,

LK=KJ= 4√3

sin(45°) = opposite/hypotenuse

hypotenuse (JL)= opposite/sin 45° = 4√3/√2/2 = 8√3/√2 = 8√3√2/2 = 4√6

b.

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