All categories

3 years ago

The measures of the angles of a triangle are shown in the figure below. Find the measure of the smallest angle.

Mathematics

2 answers:

Aliun [14]3 years ago

7 0

^^ that’s correct btw

nataly862011 [7]3 years ago

4 0

Answer:

(2x+18) degrees

Step-by-step explanation:

A triangle is a total of 180 degrees, so you would do:

(2x+18)+55+(4x+11)=180

(2x+4x)+(18+55+11)=180 <- take out parentheses and add like terms

6x+84=180 <- subtract 84 from both sides of the equation

6x=96 <- divide 6 from each side

x=16

Now that you know what x is you would plug it into each of the angles

Angle 1: 2x+18 --> 2(16)+18= 32+18= 50

Angle 2: 55

Angle 3: 4x+11 --> 4(16)+18= 64+18= 82

Then out of these three angles of the triangle, angle 1 (2x+18) would be the smallest.

You might be interested in

How much is left after 24,815.00 in taxes is deducted from an annual salary of 83,500.00

Debora [2.8K]

$58,685 would be the amount left over.

6 0

3 years ago

Winning the jackpot in a particular lottery requires that you select the correct four numbers between 1 and 42 and, in a separa

NARA [144]

Answer:

$\dfrac{1}{3,357,900}$

Step-by-step explanation:

There are

$C^{42}_4=\dfrac{42!}{4!(42-4)!}=\dfrac{42!}{4!\cdot 38!}=\dfrac{38!\cdot 39\cdot 40\cdot 41\cdot 42}{2\cdot 3\cdot 4\cdot 38!}=39\cdot 10\cdot 41\cdot 7=111,930$

different ways to select the four numbers between 1 and 42. Only one of this ways is correct (successful to win).

There are 30 different ways select the single number between 1 and 30. Only one of them is correct.

The probability of winning the jackpot is

$\dfrac{1}{111,930}\cdot \dfrac{1}{30}=\dfrac{1}{3,357,900}$

4 0

3 years ago

Read 2 more answers

K: Marcus has 8 pairs of jeans, 4 pairs of black

jasenka [17]

Answer:

19 bottoms to wear

Step-by-step explanation:

1. 8+4+2+5

2.8+4+2+5= 19 bottoms

3. if i did something wrong or didnt catch something tell me

4 0

3 years ago

What is the theoretical probability of Eric picking a black marble next time based on Eric's results what is the experimental pr

o-na [289]

The answer is a! i dont promise

5 0

3 years ago

Help pls what's the common difference

horsena [70]

Answer:

#9: 5

#10: -2

#11: -1.5

Step-by-step explanation:

#9: 3,8,13,18,23,(28),(33),(38),.. Go up by 5 each time, so the common difference is 5.

#10: 11,9,7,5,3,(1),(-1),(-3),... Go down (-) by 2 each time, so the common difference is -2.

#11: 3, 1.5, 0, -1.5, -3, (-4.5), (-6), (-7.5),... Go down (-) by 1.5 each time, so the common difference is -1.5.

7 0

3 years ago