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2 years ago

If mZ1= 140, what is m_3? 900 500 1300 400

Mathematics

1 answer:

zhuklara [117]2 years ago

7 0

Answer:

∠ 3 = 50°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 1 is an exterior angle of the triangle, so

90° + ∠ 3 = ∠ 1

90° + ∠ 3 = 140° ( subtract 90° from both sides )

∠ 3 = 50°

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Evaluate the expression when a=5.<br>a² - 17

jek_recluse [69]

Answer:

a²-17=8

Step-by-step explanation:

5²-17= 25-17

= 8

8 0

2 years ago

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Q5: Identify the graph of the equation and write an equation of the translated or rotated graph in general form.

MAVERICK [17]

Answer:

$d.\:ellipse;\:3x^2+y^2+6x-6y+3=0$ .

Step-by-step explanation:

The given conic has equation;

$3x^2+y^2=9$

Divide through by 9.

$\Rightarrow \frac{3x^2}{9}+\frac{y^2}{9}=\frac{9}{9}$

$\Rightarrow \frac{x^2}{3}+\frac{y^2}{9}=1$ .

This is an ellipse centered at the origin;

This ellipse has been translated so that the center is now at;

$(-1,3)$

The translated ellipse has equation;

$\frac{(x+1)^2}{3}+\frac{(y-3)^2}{9}=1$ .

Clear the fraction;

$3(x+1)^2+(y-3)^2=9$ .

Expand;

$3(x^2+2x+1)+(y^2-6y+9)=9$ .

$3x^2+6x+3+y^2-6y+9=9$ .

Write in general form;

$3x^2+y^2+6x-6y+9-9+3=0$ .

$3x^2+y^2+6x-6y+3=0$ .

The correct choice is D

4 0

3 years ago

Read 2 more answers

Solve the system. x – y +z = 14 y +z = 15 z = 7 Enter your answer as an ordered triple.

Firdavs [7]

Answer:

All you have to do is find out the answer on your own buddy.

Step-by-step explanation:

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3 years ago

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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2 years ago

Chris drove 380 miles using 14 gallons of gas. At this rate, how many gallons of gas would he need to drive 418 miles?

SVEN [57.7K]

15.4 gallons...............

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3 years ago