Answer:
19. x=28°
<E = 67°
20. x= 9°
<L = 25°
Step-by-step explanation:
19. Supplementary means that the angles will add to make a straight line, or they will add to = 180
<L+<E = 180°
4x+1°+3x-17°=180°
7x-16°=180°
7x=196°
x=28°
Measure of Angle E
<E = 3x-17° = 3(28°)-17° = 67°
20. Vertical angles are congruent, or equal to each other.
<L = <E
2x+7° = 4x-11°
2x+18° = 4x
18° = 2x
9° = x
x = 9°
<L = 2x+7° = 2(9°)+7° = 18°+7° = 25°
Answer:
You need to find the radius first,
Half of 23 is = 11.5
Formula you must remember when finding area of circle is:
πr^2
(pie (3.14 or 22/7) x radius squared)
Our pie is 3.14 because they said to use it in this particular question.
3.14 x 11.5^2 (remember we are making our radius squared) <--- Before
Let's evaluate first:
3.14 x 132.25 <--- After evaluating
So, 3.14 x 132.25 = 415.265 <----- your answer
_______
To write an equation in point-slope form, we need the slope and a point.
The points given to us by the explanation are (3, 63) and (5, 57) where the x value represents the number of days without rain and the y value represents the depth of the water in inches.
To find the slope, we use the expression:
Change in y/change in x = 63-57/3-5
When simplified, we get: 6/-2 = -3
Therefore, the slope is -3
Note that we can use either of the points in our equation and we will still get the same equation.
Now we just need to substitute in our values:
y = -3(x-3) + 63 which is sometimes written as y - 63 = -3(x-3)
Hope this helps!
The density of the wooden block is 0.50625g/cm^3
<h3>Density of a wood</h3>
Density is defined as the ratio of the mass to volume of a substance. The formula for calculating the density of an object is expressed as:
Density = Mass/volume
Given the following parameters
Mass = 32.4grams
Volume = 4^3 = 64 cubic centimeters
Substitute
Density = 32.4/64
Density = 0.50625g/cm^3
Hence the density of the wooden block is 0.50625g/cm^3
Learn more on density here: brainly.com/question/6838128
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