Answer:
120 degrees.
Step-by-step explanation:
All the angles in a triangle add up to 180. You have two of the angles given:
50 degrees and 70 degrees
To find the third angle of the triangle (BAC), use the expression:
180 - (50 + 70)
180 - 120
60
So, the third angle in the triangle is 60 degrees. Looking at angle DAB, you can see that it forms a straight line with angle BAC. A straight line is 180 degrees. Since we know BAC is 60, and BAC + DAB = 180, by doing 180 - 60, you can see that angle DAB is 120 degrees.
Answer:
(x, y)→(x − 9, y − 3)
Step-by-step explanation:
We have given Hexagon DEFGHI is translated on the coordinate plane to create hexagon D'E'F'G'H'I':
We write the translation one by one:
D (3, 5)
D' (-6, 2)
that translates to: (x - 9, y - 3), because that is for passing from D to D':
(3 - 9, 5 - 3) = (-6, 2)
Now for E (7,5)
E' (-2,2)
that translates to: (x - 9, y - 3), because that is for passing from E to E':
(7 - 9, 5 - 3) = (-2, 2)
Now for F(8,2)
F' (-1, -1)
that translates to: (x - 9, y - 3), because that is for passing from F to F':
(8 - 9, 2 - 3) = (-1, -1)
therefore if it is true for D and D', E and E', F and F' then it has to be true for all others for the rule to be true, so the rule represents the translation of hexagon DEFGHI to hexagon D'E'F'G'H'I' is (x, y)→(x − 9, y − 3) ....
3/4 is the same as 6/8 not sure what that model is called though
Answer:
Each hotdog costs $1.65
Each juice drink costs $1.05
Step-by-step explanation:
Let's begin by letting represent the number of hot dogs and the number of juice drinks.
The Baxter family bought 6 hot dogs and 4 juices for $14.10.
The Farley family bought 3 hot dogs and 4 juices for $9.15.
Now, we subtract these equations.
Since has reversed coefficients, it gets eliminated. Now solve for x.
NOW, we find y by substituting x with 1.65 (in either equation).
We'll use the first equation.
= 1.65
= 1.05
represents hotdogs and represents juice drinks.
Therefore, each hotdog costs $1.65 and each juice drink costs $1.05.
<em> I hope this helps! :)</em>
Answer:
42 meters
Step-by-step explanation:
As ΔONM ≅ ΔXYW therefore, YW=NM=42