Answer:
<h3>77</h3>
Step-by-step explanation:
If Point D is in the interior of <ABC, then <ABD+<BDC = <ABC
Given
<ABC = 10x - 7,
<ABD = 6x + 5
<DBC = 36
Substituting the given parameters into the formula above;
ABD+<DBC = <ABC
6x + 5+ 36 = 10x-7
6x+41 = 10x-7
collect like terms
6x-10x = -7-41
-4x = -48
divide both sides by -4
-4x/-4 = -48/-4
x = 12
To get <ABD, we will substitute x = 12 into the expression <ABD = 6x + 5
<ABD = 6(12)+5
<ABD = 72+5
<ABD =77
Hence the value of <ABD is 77
Answer:
1.25 Pounds were used for butter.
Step-by-step explanation:
Answer:
60 degrees
Step-by-step explanation:
We know that a right triangle is 90 degrees
We have one angle given of 30 degrees
90 degrees - 30 degrees (known angle) = 60 degrees (unknown angle)
Therefore the unknown angle is 60
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The mean is often the default measure of center because it includes every data point, ie its more representative. However, if you have outliers then the mean will be skewed toward the outlier. For example, with home prices, very expensive houses will make the mean larger than it should be if you focused on the main cluster of data. This is why the median home price is often measured and reported (rather than the mean home price).