Answer:
x = 40 degrees
Step-by-step explanation:
Triangle angle sum is 180 so 180 = 65 + 75 + x.
180 = 65 + 75 + x
180 = 140 + x
40 = x
Using the principle of proportional relationship, the amount of weight lost by hedgedog in 120 days is 3.6 oz
<u>Proportional</u><u> </u><u>relationships</u><u> </u><u>are</u><u> </u><u>defined</u><u> </u><u>thus</u><u> </u><u>:</u>
- y = kx
- <em>k</em><em> </em><em>=</em><em> </em><em>constant</em><em> </em><em>of proportionality</em><em> </em>
Taking a piar of points :
-0.24 = 8k
<em>Divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>8</em>
(-0.24/8) = k
k = - 0.03
Hence, hedgedog loses weight at a rate of - 0.03 oz per day.
<u>The</u><u> </u><u>amount</u><u> </u><u>of</u><u> </u><u>weight</u><u> </u><u>lost</u><u> </u><u>in</u><u> </u><u>120</u><u> </u><u>days</u><u> </u><u>:</u>
The proportional relationship = y = - 0.03x
<em>Substitute</em><em> </em><em>x</em><em> </em><em>into</em><em> </em><em>the</em><em> </em><em>equation</em><em> </em>
y = -0.03(120)
y = - 3.6 oz
Therefore, the amount of weight lost in 120 days is 3.6 oz.
Learn more : brainly.com/question/25308816
Answer:
The length of PQ is 24
Step-by-step explanation:
If you flip triangle PQR upside down the you can see which side corresponds to which. BC corresponds to QR and AB with PQ, the scalar is 6 because of BC (2) times 6 = QR (12). So you just have to do 4 times 6 which is 24.
Answer:
Dilation
Step-by-step explanation:
A dilation is where the size of the figure changes. The square gets larger and therefore undergoes a dilation.
Other transformations:
In a translation the figure slides or moves from its original position
In a reflection the figure is reflected across a given line
In a rotation the figure is rotated.