Given:
Intersecting lines DA and CE.
To find:
Each pair of adjacent angles and vertical angles.
Solution:
Adjacent angles are in the same straight line.
<u>Pair of adjacent angles:</u>
(1) ∠EBD and ∠DBC
(2) ∠DBC and ∠CBA
(3) ∠CBA and ∠ABE
(4) ∠ABE and ∠EBD
Vertical angles are opposite angles in the same vertex.
<u>Pair of vertical angles:</u>
(1) ∠EBD and ∠CBA
(2) ∠DBC and ∠EBA
Answer:
<h2>
62.832 mi.²</h2><h2>
</h2>
Step-by-step explanation:
surface area = 2πrh + 2πr²
where r = 2 miles radius
h = 3 miles
<u>plugin values into the formula</u>
surface area = 2πrh + 2πr²
= 2π (2) 3 + 2π (2)²
= 37.699 + 25.133
= 62.832 mi.²
Answer:
(-1, 4)
Step-by-step explanation:
Point B is 5 units below point A, and point E is 5 units above point D: AB = ED. This means that BC will be equal to EF. B and C are 7 units apart, so 7 units left from E is (-1, 4).
Hope this helps!
-7n-21-8-64n distributive property
-7n-64n-29 commutative property
-51n-29 combine like terms
Answer:
y = (3/2)x + 8
Step-by-step explanation:
Hi
First let's find the slope of the given line by converting to slope-intercept form:-
2x + 3y = 9
3y = -2x + 9
y = (-2/3)x + 3
From this we see that the slope is -2/3.
The slope of a line perpendicular to this one will be - 1 / (-2/3)
= 3/2. ( because for a line and its perpendicular, the slopes' product = -1).
Using the point-slope form to find the equation of this line
y - y1 = m(x - x1). Here m = slope and (x1, y1) is a point on the line.
Plugging in the given values , m = 3/2 , x1 = -2 and y1 = 5:-
y - 5 = 3/2 (x - -2)
y - 5 = 3/2x + 3
y = (3/2)x + 8 which is the equation in slope-intercept form.
