Answer:
J
Step-by-step explanation:
When finding the distance between the two points you use the formula
d(distance)= square root of ( x2-x1)^2+(y2-y1)^2. So since you have the two points you just plug them into the formula to get
square root of (5-(-3))^2+(2-(-5))^2 and if you put that in a calculator you get 10.63014581. Then you just round to the nearest tenth and get the final answer of 10.6 (J)
if you don't have a Unit Circle, this is a good time to get one, you'd need it, you can find many online.
Check the picture below.
(5x - 17) + (3x - 11)= 180 [ Linear Pair ]
= 8x - 28= 180
= 8x= 208
= x = 208/8
= x = 26
3x-11
= 3*26 - 11
=67
Now, we have:
(2y+5)+90+(3x-11)=180 [Linear Pair]
Substituting (3x-11),
(2y+5) + 90 + 67= 180
= (2y+5)+157= 180
= 2y + 162= 180
= 2y= 18
=y = 18/2
=y= 9
Therefore, x= 26, and y= 9
Please hit the ‘Thanks’ if this helped
Have a great day.
Slope is equal to the change in y over the change in x,<span> or 'rise over run'.
</span><span>m=change in y/change in x
</span>The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise<span>).
</span><span>m=y^2−y^1/x^2−x^1
</span>Substitute in the values of x and y into the equation to find the slope<span>.
</span><span>m= 1/2 −(− 3/2 )/ 3/5 −( 2/10 )
</span><span>Simplify.
</span><span>m=5
The slope is 5</span>
We have been given that in ΔRST, the measure of ∠T=90°, SR = 65, TS = 33, and RT = 56. We are asked to find the value of sine of ∠R to the nearest hundreth.
First of all, we will draw a right triangle using our given information.
We know that sine relates opposite side of right triangle to hypotenuse.
We can see that side SR is hypotenuse and TS is opposite side to angle R.
Upon rounding to nearest hundredth, we will get:
Therefore, the value of the sine of ∠R is approximately 1.97.
