14 ten thousand + 12 thousand in place value chart

A triangle has an angle that measures 10°. The other two angles are in a ratio of 3:14. What

ivann1987 [24]

Step-by-step explanation:

We have to find the measures of other two angles of triangle.

$\red{\frak{Given}} \begin{cases} & \sf{The\ measure\ of\ one\ angle\ of\ traingle\ is\ {\pmb{\sf{10^{\circ}}}}.} \\ & \sf{The\ other\ two\ angles\ are\ in\ the\ ratio\ of\ {\pmb{\sf{3\ :\ 14}}}.} \end{cases}$

We know that,

The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.

Angle sum property,

The angle sum property of triangle states that the sum of interior angles of triangle is 180°. By using this property, we'll find the other two angles of the triangle.

$\rule{200}{3}$

$\sf \dashrightarrow {10^{\circ}\ +\ 3x\ +\ 14x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {10^{\circ}\ +\ 17x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 180^{\circ}\ -\ 10^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 170^{\circ}} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{170^{\circ}}}{\cancel{17}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 10^{\circ}.}}}}_{\sf \blue {\tiny{Value\ of\ x}}}}$

∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.

$\rule{200}{3}$

Second AnglE :

3x
3 × 10
30°

∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.

$\rule{200}{3}$

Third AnglE :

14x
14 × 10
140°

∴ Hence, the measure of the third angle of the triangle is 140°.

5 0

2 years ago

The slope of the line passing through the points (0, 0) and (2, 3) is

MArishka [77]

You can use the equation to find the slope of a line given two points. This equation is y2 - y1 divided by x2 minus x1. The y2 is represented by the y coordinate of the second ordered pair, but it really doesn't matter, either way you get the same answer. The same way the x2 is represented by the x coordinate of the second ordered pair. For this problem, I will just use the normal coordinates. So the second y coordinate is 3. 3 -0 = 3. So your numerator is 3. The second x coordinate is 2. 2-0 = 2. So the denominator is 2. This is 3/2. So your slope would be 3/2. Hope this helps. :D Let me know if you didn't understand something in my explanation.

4 0

3 years ago

2x^2 / x^2 - y^2 - x^2 / xy - y ^ 2

Juliette [100K]

Answer:

2 - 2y^2 - x/y

Step-by-step explanation:

2x^2/x^2 = 2

and

x^2/xy = x/y

therefore

2x^2/x^2 - y^2 - x^2/xy - y^2

= 2 - y^2 - x/y - y^2

= 2 - y^2 - y^2 - x/y

= 2 - 2y^2 - x/y

6 0

2 years ago

A car drives east along a road at a constant speed of 46 miles per hour. At 4:00 P.M., a truck is 264 miles away, driving west a

sveticcg [70]

Answer:

The speed of the truck is 42 mph

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

s -----> the speed in miles per hour

d ----> the distance in miles

t ----> the time in hours

$s=\frac{d}{t}$

$d=s(t)$

step 1

Find out the distance traveled by the car at 7:00 P.M

we have

$s=46\ \frac{mi}{h}$

$t=7:00 P.M-4:00 P.M=3\ h$

$d=s(t)$

substitute the values

$d=46(3)=138\ mi$

step 2

Find out the speed of the truck

we know that

At 7:00 P.M the distance is equal to

$d=264-138=126\ mi$

$t=7:00 P.M-4:00 P.M=3\ h$

substitute

$s=\frac{126}{3}$

$s=42\ \frac{mi}{h}$

7 0

2 years ago

Angel started out with $20 in his bank . He had been adding $30 per month . nicole started with no money in her bank account but

lana66690 [7]

Answer:

2 months

Step-by-step explanation:

started with 20, an added 30 each month so 30 plus 30 equals 60, 2 months add it to 20, 60 plus 20 is 80. other girl started with nothing and added 40 each month so 40 plus 40 equals 80. also 2 months

8 0

3 years ago