Step-by-step explanation:
AB · BE = CB · BD Given
CB/BE = AB/BD Division Property of Equality
<ABC = <DBE Vertical angles are equal
ΔABC ≅ ΔDBE SAS Similarity Theorem
Hope it helps
Answer:
w
=
q
z
+
4
Step-by-step explanation:
Solve for w by simplifying both sides of the equation, then isolating the variable.
#3 is correct at 120.4
#4 is 15/8...because 3/4+3/4=6/4 (for 20 doors) plus 3/8 (which is half of 3/4 for 5 more doors) equals 15/8 gallons or 1.875 gallons
#5 is $812.50 because if 50 shares cost $125, 325 shares (125×6.5) equals 812.50
9514 1404 393
Answer:
- (2x-10) +x +(x+10) = 180
- x = 45
- (2x-10)° = 80°
- (x+10)° = 55°
- x° = 45°
Step-by-step explanation:
The equation is an expression of the fact that <em>the sum of the angles in a triangle is 180°.</em>
(2x -10)° +x° +(x +10)° = 180°
For the purposes of the answer box, I'd leave off the degree symbol:
(2x -10) +x +(x +10) = 180
__
This simplifies to ...
4x = 180
x = 45
Then the angles (CW from top) are ...
(2·45 -10) = 80°
(45 +10)° = 55°
(45)° = 45°
Direct variation is a relation that has the form
y = kx
where k is the constant of proportionality.
If you are told that a relation is a direct proportion, and you are given one data point, you can find k. The you can write the equation of the direct relation.
Here is an example.
The price of gasoline follows a direct variation.
John bought 5 gallons of gas and paid $15.
a) Write an equation for the relation.
b) Using the relation you found, how much do 13.8 gallons cost?
Solution:
Since the relation is a direct variation, it follows the general equation of a direct variation:
y = kx
We are given one data point, 5 gallons cost $15.
We plug in 5 for x and 15 for y and we find k.
y = kx
15 = k * 5
k = 3
Now that we know that k = 3, we rewrite the relation using our value of k.
y = 3x
This is the answer to part a).
Part b)
We use our relation, y = 3x, and we plug in 13.8 into x and find y.
y = 3x
y = 3 * 13.8
y = 41.4
The price of 15 gallons of gas is $41.40.
