In the diagram below, what is the measure of angle 4

Mathematics

2 answers:

patriot [66]3 years ago

3 0

Answer:

Angle 4 equals to 120 degrees

Step-by-step explanation:

120 degrees is an obtuse angle

ad-work [718]3 years ago

3 0

Answer:

∠ 4 = 123°

Step-by-step explanation:

The sum of the 3 angles in the triangle = 180°

sum the 3 angles and equate to 180

9x - 6 + 6x - 1 + 82 = 180

15x + 75 = 180 ( subtract 75 from both sides )

15x = 105 ( divide both sides by 15 )

x = 7

Then

9x - 6 = 9(7) - 6 = 63 - 6 = 57

∠ 4 and 9x - 7 are adjacent angles and sum to 180°, then

∠ 4 + 57° = 180° ( subtract 57° from both sides )

∠ 4 = 123°

You might be interested in

Algebra 1 I need help ASAP

galben [10]

Find the depth of the river at 9 hours and 18 hours by seeing where the line is on the Y axis.

At 9 hours the river is 18 feet deep

At 18 hours the river is 21 feet deep.

The average rate of change is the change in Y over the change in X

The Y is the depth and the X is the time:

(21-18) / (18-9) = 3/9 = 1/3 = 0.33

The average rate of change is 0.3 foot per hour. ( Rounded to nearest tenth)

3 0

3 years ago

The height of a ball above the ground as a function of time is given by the function h(t)=−32t2+8t+3 where h is the height of th

gavmur [86]

Answer:

0.125 seconds.

Step-by-step explanation:

We have been given that the height of a ball above the ground as a function of time is given by the function $h(t)=-32t^2+8t+3$ , where h is the height of the ball in feet and t is the time in seconds.

We can see that our given equation is a downward opening parabola as its leading coefficient is negative. The maximum point will be vertex of parabola.

To find the time, when the ball would be at its maximum height, we need to find the x-coordinate of vertex.

Using formula $\frac{-b}{2a}$ , we will find the x-coordinate of vertex of parabola as: