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3 years ago

12

What is the measure of

1 answer:

rodikova [14]3 years ago

3 0

The 3 angles of a triangle need to equal 180 degrees.

Angle B is given as 15, so the sum of angle A and C need to equal 180 - 15 = 165 degrees.

Set up the equation:

(12x+12) + (3x+18) = 165

Combine like terms:

15x + 30 = 165

Subtract 30 from each side:

15x = 135

Divide both sides by 15:

x = 135 /15

x = 9

Now you know X, replace x in each equation and solve:

A = 12x + 12 = 12(9) + 12 = 108 +12 = 120

B = 3x+18 = 3(9) +18 = 27 +18 = 45

Angle A = 120

Angle B = 45

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In the diagram, polygon ABCD is flipped over a line of reflection to make a polygon with vertices at A′, B′, C′, and D′. Points

Hunter-Best [27]

<span>when flipped over a line of reflection the lengths are still the same the point to the line of reflection is the same length as the line of reflection to the reflected position the distance from the original point to the reflected point is twice the distance from the original point to the line of reflection. </span>

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2 years ago

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What is the remainder when (x^3 1) is divided by (x^2 – x 1)?<br> x 1<br> x<br> 2<br> 0

labwork [276]

Hello,
$x^3+1=(x+1)(x^2-x+1)\\
Remainder\ is \ 0\\\\

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Answer D

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3 years ago

A bakery is having a sale on cupcakes. At 11am the bakery has sold 123 cupcakes. By 2pm the bakery has sold 470 cupcakes.

Wittaler [7]

Answer:

The average rate of change is 115 cupcakes per hour approximately

Step-by-step explanation:

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2 years ago

In the New York State daily lottery game, a sequence of 4 (not necessarily different) digits in the range of 0-9 is selected at

devlian [24]

Answer:

50.40% probability that all 4 are different.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

4 digits, all different

For the first digit, it can be any of them, so there are 10 possible

For the second digit, it can be any of them other than the first digit. So there are 9 possible.

For the third digit, it can be any of them, other than the first and the second. So there are 8 possible.

By the same logic, 7 possible digits for the fourth. So

$D = 10*9*8*7 = 5040$

Total outcomes:

4 digits, each can be any of them(10 from 0 - 9).

So

$T = 10*10*10*10 = 10000$

Probability:

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2 years ago

El número que falta en<br> (–15) × ____ × 8 × (–4) = –4320, es:

11Alexandr11 [23.1K]

Answer:

-9

Step-by-step explanation:

The missing number will be labeled as x.

-15*x*8*(-4)=-4320

480x=-4320

x=-9

5 0

1 year ago