Answer:
(-3 , -3)
Step-by-step explanation:
A: (-1,2), B: (1,2), and C: (-1,-3) .... D: (x,y)
slope of AB = (2-2)/(1 - -1) = 0 .... parallel to x axis
x coordinate of A is 2 units left to B (-1 vs 1)
y coordinate of C is 2 units left to B so D must be 2 units left to C: -1 -2 = <u>-3</u>
DC // AB , y coordinate of D = C =<u> -3</u>
D: (-3 , -3)
B!
The equation x-4y= -4 is the graph, right? So that means when x is, lets say, 2, then:
2-4y= -4
Simplify
-4y=-6
y=3/2
Now if you think about it, if you plug in any number for x and get some value of y, that is the point on the graph at that x value.
Hope this helps!
Answer:
22
Step-by-step explanation:
<h3>Answer: Choice B) 8.57</h3>
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Explanation:
The triangles are similar through the AA (angle angle) similarity rule. Note how the angle markers correspond and match up. Example: angle C and angle F both have triple angle markers to indicate these angles are congruent.
The corresponding sides pair up to form equal fractions. AB and DE form AB/DE which is equal to AC/DF, as these two sides correspond as well.
Therefore: AB/DE = AC/DF
Let's plug in the given values and isolate x
AB/DE = AC/DF
11/7 = (15+x)/15 ...... substitution
11*15 = 7*(15+x) ....... cross multiply
11*15 = 7*15+7*x ...... distribute
165 = 105+7x
165-105 = 105+7x-105 ..... subtract 105 from both sides
60 = 7x
7x = 60
7x/7 = 60/7 ............ divide both sides by 7
x = 8.57142857142858
x = 8.57 ..... rounding to the nearest hundredth
