Right an expression

12. Find the measure of each interior angle of triangle QRT.

Veseljchak [2.6K]

Answer:

$\angle QRT=125.6\°$

$\angle RTQ=6.4\°$

$\angle TQR=48\°$

Step-by-step explanation:

It is important to remember that, by definition, the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

In this case we can idenfity that the angle $17x$ is an exterior angle of the triangle QRT. Then:

$17x=\angle RTQ+\angle TQR$

Where:

$\angle RTQ=2x\\\\\angle TQR=48\°$

Substituting values and solving for "x", we get:

$17x=2x+48\\\\17x-2x=48\\\\15x=48\\\\x=3.2$

Then:

$17x=17(3.2)=54.4\°\\\\\\\angle RTQ=2(3.2)=6.4\°$

The sum of the interior angles of a triangle is 180°, therefore:

$\angle QRT+\angle RTQ+\angle TQR=180$

Solving for $\angle QRT$ , we get:

$\angle QRT=180-48-6.4=125.6\°$

8 0

3 years ago

Select the correct answer from each drop-down menu.

ruslelena [56]

The independent variable in the relationship is the Number of Months and should be placed on the x-axis

The dependent variable in the relationship is the Number of Fish and should be placed on the y-axis

Step-by-step explanation:

Let us explain the independent and dependent variables of a relation

The independent variable is the input of the relation

The dependent variable is the output of the relation
The values of dependent variables depend on the values of independent variables
When the relation represented graphically the independent variable placed on the x-axis and the dependent variable placed on the y-axis

The table:

→ Number of Months: 0 : 1 : 2 : 3 : 4

→ Number of Fish : 1,024 : 1,280 : 1600 : 2,000 : 2,500

Let us check is their any constant ratio between the consecutive values of the number of fish

∵ 1,280 ÷ 1,024 = 1.25

∵ 1,600 ÷ 1.280 = 1.25

∵ 2,000 ÷ 1,600 = 1.25

∵ 2,500 ÷ 2,000 = 1.25

∴ The table represent an exponential function, where the input

is the number of months and the output is the number of fish

∵ The input is independent variable

∴ The independent variable is the number of months

∵ The output is the dependent variable

∴ The dependent variable is the number of fish

∵ The independent variable is placed on the x-axis

∴ The number of months should be place on the x-axis

∵ The dependent variable is placed on the y-axis

∴ The number of fish should be place on the y-axis

The independent variable in the relationship is the Number of Months and should be placed on the x-axis

The dependent variable in the relationship is the Number of Fish and should be placed on the y-axis

Learn more:

You can learn more about the relation in brainly.com/question/10708697

#LearnwithBrainly

6 0

3 years ago

What equation can relate to this sentence 11 is the quotient of a number y and 6 ?

Natalija [7]

Answer: 11 = y ÷ 6

Step-by-step explanation: since the problem says 11 is that means the equation equals 11 and when it says quotient that means that the equation must include division.

4 0

4 years ago

A ship goes at the rate of (3m-2) knots per hour. How far can it travel in (4m+9) hours?

Ber [7]

Answer: $12m^2+19m-18$