You would use the Pythagorem Theory which is a^2 + b^2 = c^2
the diagonal being c and it doesn't matter how you substitute tho other either a or b. the answer is 15.588 or 15.6 inches
Answer:
x = -1, y = 1
Step-by-step explanation:
Given that:
![\begin{bmatrix}4x+11y=7\\ 4x+3y=-1\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D4x%2B11y%3D7%5C%5C%204x%2B3y%3D-1%5Cend%7Bbmatrix%7D)
Isolate x for 4x + 11y = 7 which ⇒ ![x=\frac{7-11y}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B7-11y%7D%7B4%7D)
Substitute
into the equation: which is:
![\begin{bmatrix}4\cdot \frac{7-11y}{4}+3y=-1\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D4%5Ccdot%20%5Cfrac%7B7-11y%7D%7B4%7D%2B3y%3D-1%5Cend%7Bbmatrix%7D)
Drop Down to:
![\begin{bmatrix}7-8y=-1\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D7-8y%3D-1%5Cend%7Bbmatrix%7D)
Isolate y for 7-8y = -1: y = 1
Thus, ![x=\frac{7-11y}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B7-11y%7D%7B4%7D)
Substitute y = 1
Hence,
![x=\frac{7-11\cdot \:1}{4}=-1](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B7-11%5Ccdot%20%5C%3A1%7D%7B4%7D%3D-1)
Solution ⇒ x = -1 and y = 1
<u><em>~learn with lenvy~</em></u>
Answer:
look at this
Step-by-step explanation:
AD || BC and BD is the transversal,
Therefore, angle DBC = angle ADB = 42° [alternate angles]
AD || BC and BD is the transversal,
angle BAD + angle ABD + angle DBC = 180° [co-interior angles]
or, 106°+ angle ABD + 42° = 180°
or, 148° + angle ABD = 180°
or, angle ABD = 180°-148° = 32°
Therefore, angle ABC = (32+42)° = 74°
AB||CD and BC is the transversal,
angle ABC + angle BCD = 180° [co-interior angles]
or, 72+2x+12 = 180
or, 84+2x = 180
or, 2x=180-84 = 96
or, x = 48
Answers: a)48°
b)42°
c)72°