Answer:
Step-by-step explanation:
1. the measure for HJ you can already see, start from h and draw a line to J. The measure shows 63 degrees.
2. start at F and draw a line to G first. the measure shows 65 degrees. Now continue the line from where you stopped at G, to H. There's no measure but you can see it is in a semicircle. A semicircle is 180 degrees andthe other two angles are 63 and 65.
So...
180=63+65+GH
subtract to get GH
180-63-65= 52
so the measure GH is 52 degrees. The full measure you are trying to find is FGH thought. So ad the 65 and the 52.
FGH =117 degrees.
3. The meaure is CDE. CD as you can see is a right angles, so 90 degrees. But there is no measure for DE. If you look to the angle vertical from DE which is BA. It measures 40 degrees. DE and BA are vertical so they are congruent. If DE equals 40 and CD equals 90, put them together and you get 130.
CDE= 130 degrees
4. Next measure is BCD. We already know CD is a 90 degree angle but BC is blank. You can see the measure BCD is in a semi circle. A semicircle equals 180, CD equals 90, and BA equals 40
so...
180= 90+40+BC
so subtract
180-90-40= 50
BC =50
so add BC=50 and CD=90. SO, BCD is 140 degrees.
5.The angle LMN is next. MN is 30 but LM is blank. LMN is in a semi circle.
A semicircle is 180 degrees.
so...
180=105+30+LM
subtract
180-105-30=45
LM = 45
Add LM=45 and MN=30
LMN is 75 degrees.
6.The last angle is LNP
If you look at it MP is a semi circle, so 180 degrees. And LM is 45 from our last question. so 180 +45=225
LNP=225
hope this helps
Answer:
Step-by-step explanation:
Equation of the line that passes through (-2, 8) with a slope of 0, can be written in point-slope form, 
and also in slope-intercept form, 
.
Using a point, (-2, 8) and the slope (m), 0, substitute x1 = -2, y1 = 8 and m = 0 in .
Thus:
Rewrite in slope-intercept form
(addition property of equality)
Answer:
The area of the square is 25
.
Step-by-step explanation:
In the given square, the length of the side = 5d.
Area of a square = side × side
Given: Side = 5d
Now plug in side 5d in the above area formula, we get
Area of the square = 5d × 5d
= 25
Therefore, the answer is 25.
Answer:
The container weighs approximately 28 g.
Step-by-step explanation:
In order to solve this problem we first need to calculate the volume of the container, since it's shaped like a cone we must use the following formula:
volume container = (pi*r²*h)/3
Applying the data from the problem:
r = d / 2 = 8/2 = 4 cm
volume container = [pi*(4)²*22]/3
volume container = (pi*16*22)/3
volume container = (352*pi)/3 = 368.6135 cm³
Since the density is 0.82 g/cm³, we can find the mass of the shake by using the following formula:
density = mass / volume
shake mass = density*volume = 0.82*368.6135 = 302.26307 g
Since the container plus shake weighs 330 grams, then the container alone weighs:
container = 330 -302.26307 = 27.73693 g
The container weighs approximately 28 g.
