Answer:Each pair of interior angle and the exterior angle
So the exterior angle = 360° - the interior angle.
Answer:
15 units
Step-by-step explanation:
K(8, 6) and J(-4, -3)
Distance between 2 points
Thus using the formula above,
distance between points J and K
![= \sqrt{ {[8- (-4)]}^{2} + {[6- (-3)]}^{2} } \\ = \sqrt{ {12}^{2} + {9}^{2} } \\ = \sqrt{225} \\ = 15 \: units](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%7B%20%7B%5B8-%20%28-4%29%5D%7D%5E%7B2%7D%20%20%2B%20%20%7B%5B6-%20%28-3%29%5D%7D%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%20%7B12%7D%5E%7B2%7D%20%20%2B%20%20%7B9%7D%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B225%7D%20%20%5C%5C%20%20%3D%2015%20%5C%3A%20units)
Answer:
x = 11
distributive law
additive law
multiplication property
Step-by-step explanation:
Given in the question an equation
4(x-7) = 2x-6
Distributive law
a(b+c) = ab +ac
4x - 4(7) = 2x - 6
4x -28 = 2x - 6
Use the addition property of equality to reduce the 2x on the right.
4x - 2x - 28 = 2x - 2x -6
4x -2x -28 = -6
Use the addition property of equality to reduce -28 to zero on the left.
4x - 2x- 28 + 28 = -6 + 28
2x = 22
Use the multiplication property of equality to reduce 2x to just x
2x2 = 22/22
x = 22/2
x = 11
Answer:
Number of small boxes shipped = 7
Number of large boxes shipped = 15
Step-by-step explanation:
Let the number of small boxes = s
And the number of large boxes = l
Weight of small box = 25 pound
Weight of the large box = 50 pounds
Total weight of the shipment = 925 pounds
Therefore, equation for the weight of shipment will be,
25s + 50l = 925
s + 2l = 37 ----- (1)
Total number of boxes shipped = 22 boxes
Therefore, equation will be,
s + l = 22 ------(2)
Subtract equation (2) from equation (1)
(s + 2l) - (s + l) = 37 -22
l = 15
From equation (2)
s + 15 = 22
s = 7
Therefore, number of small boxes shipped = 7
Number of large boxes shipped = 15
The Lego is submerged under the oil and therefore, is more dense than the oil
The possible density of the oil is the option;
<u>0.79 g/cm³</u>
Reason:
Given:
The density of Lego = 0.85 g/cm³
Density of oil = Required
Solution:
The density of an object is the mass per unit volume it occupies
Increase in density increases the mass a unit volume occupies, therefore, a
more dense object is heavier than a less dense object such that the less
dense object will float on a dense object
The oil is floating on the Lego, therefore, the Lego is more dense than the
oil, and we have;
- Density of Lego > Density of oil
The density of Lego = 0.85 g/cm³
Therefore;
0.85 g/cm³ > Density of oil
From the given options, the option that has a density less than 0.85 g/cm³ is the the option 0.79 g/cm³
Therefore, the possible density of the oil is <u>0.79 g/cm³</u>
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Learn more here:
brainly.com/question/12864420
