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2 years ago

Two exterior angles of a triangle equal 100° and 150°. Find all the interior angles.

Mathematics

1 answer:

Papessa [141]2 years ago

3 0

Answer:

The interior angles are 80°, 30° and 70°.

Step-by-step explanation:

The sum of interior angle of a triangle is 180°. Two exterior angle of the triangle is given as 100° and 150°. The exterior angle of a triangle is equal to the sum of the opposite interior angle. The exterior angle is the angle between one side of a triangle .

Since angle on a straight line = 180°

Two interior angles can be calculated as follows

180 - 100 = 80°

180 - 150 = 30°

2 interior angles are known.

Note the sum of interior angle of a triangle is 180°

since 2 interior angle are known the third angle can be calculated as follows

180 - 80 - 30 = 70°

The interior angles are 80°, 30° and 70°.

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Factor the polynomial completely using the X method. x2 + 13x – 48 An x-method chart shows the product a c at the top of x and b

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

The constant term of x^2 + 13x – 48 factors into either (3)(-16) or (-3)(16).

Note how 16 - 3 = 13, which is the coefficient of the middle term. Thus, the factors are

(x + 16)(x - 3) which is equivalent to x^2 + 16x - 3x - 48, or x^2 + 13x - 48.

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2 years ago

Rob borrows $15.00 from his father, and then he borrows $3.00 more. Drag numbers to write an equation using negative integers to

Paul [167]

Answer:

Rob owes his father=-$15-$3= -$18

Step-by-step explanation:

Rob borrows $15 first and then $3.

Since we have to use negative integers, so

-$15-$3= -$18

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2 years ago

Read 2 more answers

The price of a ceramic bead necklace (Y) is directly proportional to the number of beads (x) on the necklace. Using the graph, w

Annette [7]

Answer: C) (1,0.80) represents the unit rate. E) (25,20) represents the price of a necklace with 25 beads

Step-by-step explanation:

(1, 0.80) represents the unit rate.

(25, 20) represents the price of a necklace with 25 beads.

$\frac{y}{x}$ = unit rate → $\frac{4}{5}$ = 0.80; $\frac{12}{15}$ = 0.80; $\frac{16}{20}$ = 0.80

Point (1, r) → (1, 0.80) represents the unit rate.

25(0.80) = 20; thus, (25, 20) represents the price of 25 beads.

Hope this helps

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2 years ago

Mia enlarged a plan for an outdoor stage. The original plan is shown below. She dilated the outdoor stage by a scale factor of 4

garik1379 [7]

Since you didn't give the original picture, I can only explain the process. Then, you need to select the correct point.

In a dilation, we multiply the coordinates by the scale factor. Take the points that you have and multiply them all by 4. Then, look for a point making your new coordinates.

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2 years ago

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lutik1710 [3]

There were 340,000 cattle placed on feed

How many of the 340,000 cattle placed on feed were between 700 and 799 pounds?

Given the fraction of total cattle for 700 - 799 pounds is 2/5

Let x be the number of cattle between 700 - 799 pounds

We make a proportion using the fraction

$\frac{2}{5} = \frac{x}{340,000}$