Answer:

Step-by-step explanation:
we know that
When two lines are crossed by another line (transversal), the angles in matching corners are called Corresponding Angles.
When the line are parallel the corresponding angles are equal in measurement.
so
In this problem
-----> by corresponding angles
see the attached figure to better understand the problem
Solve for x
Subtract 50 both sides


Divide by 8 both sides


Ŷ<span> “y-hat” = predicted average y value for a given x, found by using the regression equation.
</span>p̂ “p-hat” -----> <span>proportion
</span>I can't type y-bar but its a straight line on the top of letter y.
Answer:
56 degrees.
Step-by-step explanation:
We need the measure of < g.
The triangle formed by the 2 tangents and the chord is isosceles, because 2 tangents from a point outside a circle are of equal length (by the Two Tangents theorem).
Also one of the base angles are equal to 62 degrees ( by The Tangent Chord theorem). In fact both base angles are 62 degrees because the triangles an isosceles.
So measure of angle g = 180 - 2(62)
= 56 degrees.
What is the median of the data?<br>30,29,16,11,16,20,21,12,13,15,15,23,30
tia_tia [17]
Answer:
16
Step-by-step explanation:
ascending order:11,12,13,15,15,16,16,20,21,23,29,30,30
number of terms =13
median=[(n+1)/2] th term
=[(13+1)/2] th term
=[14/2] th tem
=7th term
=16
Answer:
(3, 1)
Step-by-step explanation:
(a) Algebraic solution
(1) y = -⅔x + 3
(2) y = 2x - 5
Set Equation (1) equal to Equation (2)
-⅔x + 3 = 2x - 5
Multiply each side by 3
-2x + 9 = 6x - 15
Add 15 to each side
-2x + 24 = 6x
Add 2x to each side
24 = 8x
Divide each side by 3
(3) x = 3
Substitute (3) into (2)
y = 2×3 - 5 = 6 - 5 = 1
The ordered pair that makes both equations true is (3, 1).
(b) Graphical solution
In the diagram below, the red line is the graph of Equation (1). The blue line is the graph of Equation (2). The point of intersection is at (3, 1).