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3 years ago

In triangle ABC, mZA = (5x – 10), mZB = (12x)", and the exterior

Mathematics

1 answer:

Inessa [10]3 years ago

7 0

Answer:

measure of exterior angle at C = 160°

Step-by-step explanation:

An exterior angle of a triangle equals the sum of the two remote interior angles

A and B are the remote interior angles. So,

m∠A + m∠B = measure of exterior angle at C

5x - 10 + 12x = 16x

17x - 10 = 16x

x = 10

measure of exterior angle at C = 16x = 16(10) = 160°

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Latoya, Milan, and Hong served a total of 154 orders Monday at the school cafeteria. Latoya served 10 more orders than Milan, Ho

Tems11 [23]

Orders served by Latoya, Milan and Hong are 34, 24, 96 respectively.

<u>Solution:</u>

Given, Latoya, Milan, and Hong served a total of 154 orders Monday at the school cafeteria.

Let orders served by Latoya ne a, orders served by Milan be b and orders served by hong be c.

Then, a + b + c = 154 ⇒ (1)

Latoya served 10 more orders than Milan, ⇒ a = b + 10

Hong served 4 times as many orders as Milan. ⇒ c = 4b

We have to find how many orders did they each serve?

Now, substitute a and c values in (1)

(b + 10) + b + 4b = 154

b + b + 4b = 154 – 10

6b = 144

b = 24

Then, a = 24 + 10 = 34 and c = 4 x 24 = 96.

Hence, orders served by Latoya, Milan and Hong are 34, 24, 96 respectively.

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ser-zykov [4K]

Answer:

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3 years ago

Which expressions are equivalent to the given expression?

liraira [26]

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2 years ago

Item 15 Solve the equation for y. 20=5x+10y

Ronch [10]

Answer:

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</span>
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Sin(α)=opposite/hypotenuse

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