Please help me with this! if you do you will get brainliest

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

nataly862011 [7]

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.

4 0

3 years ago

Read 2 more answers

Complete the frequency table:

Gala2k [10]

The percentage of students age 15 and above travel to school by bus is 47%

<h3>How to complete the table?</h3>

The table of values is given as:

Method of Travel to School

Walk/Bike Bus Car Row totals

Under age 15 18 165

Age 15 and above 65 195

Column totals 152 110 98 360

Using the column total of column 1, we have:

Under age 15 + 65 = 152

This gives

Under age 15 = 87

Using the column total of column 2, we have:

Age 15 and above + 18 = 110

This gives

Age 15 and above = 92

Using the row total of row 1, we have:

Car + 87 + 18 = 165

This gives

Car = 60

Using the row total of row 2, we have:

Car + 65 + 92 = 195

This gives

Car = 38

So, the complete frequency table is

Method of Travel to School

Walk/Bike Bus Car Row totals

Under age 15 87 18 60 165

Age 15 and above 65 92 38 195

Column totals 152 110 98 360

The percentage of students age 15 and above travel to school by bus is:

Percentage = 92/195 * 100%

This gives

Percentage = 47%

Read more about frequency table at:

brainly.com/question/12576014

#SPJ1

7 0

2 years ago

Slove step-by-step (5+4)×2+6-(2×2)-1

Sladkaya [172]

1. (5 + 4) x 2 + 6 - (2 x 2) - 1
2. 9 x 2 + 6 - 4 - 1
3. 18 + 6 - 4 - 1
4. 24 - 4 - 1
5. 20 - 1
6. 19

3 0

3 years ago

Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle is translated 4 units down and 3 units left. Which rule r

crimeas [40]

Option C: $(x, y) \rightarrow(x-3, y-4) ; (5,-1)$ is the coordinates of C after translation.

Explanation:

The triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3).

Also, given that the triangle is translated 4 units down and 3 units left.

We need to determine the coordinates of the vertex C after translation.

The triangle is shifted 4 units down means subtracting 4 units from the y - coordinate of the graph.

Thus, it can be written as $y-4$

Also, the triangle is shifted 3 units left means subtracting 3 units from the x - coordinate of the graph.

Thus, it can be written as $x-3$

Thus, the translation is given by

$(x, y) \rightarrow(x-3, y-4)$

The vertices of C after translation can be determined by

$(8, 3) \rightarrow(8-3, 3-4)\implies (5,-1)$

Thus, $(x, y) \rightarrow(x-3, y-4) ; (5,-1)$ is the coordinates of C after translation.

Hence, Option C is the correct answer.

3 0

3 years ago

Read 2 more answers

I Need help with question 21 and 22 !

USPshnik [31]

11) First, add 74 and 43.

74+43=117

Subtract 117 from 180. Do this because this will give you the value of angle 1. This is because the sum of the angles in a triangle will always add up to 180 degrees.

180-117=63

Angle 1 = 63 degrees

Angle 2 also equals 63 degrees, because they are vertical angles.

Angle 2= 63 degrees

Now, add 63 and 79

63+79=142

Subtract 142 from 180

180-142=38

Angle 3 = 38 degrees

12)

First, subtract 56 from 180. Do this to find angle C. They are supplementary angles, so they will equal 180 degrees.

180-56=124

Angle C=124 degrees

Now, add 124 and 20

124+20=144

Finally, subtract 144 from 180

180-144=36

The measure of angle A is 36 degrees

Hope this helped! :)

7 0

3 years ago