Answer:
7. x=3, 8. x=7, 9. x=15.
Step-by-step explanation:
7. If lines m and n are congruent, then angles DCF and CFE are congruent. 15x+3=18x-6. Solve for x. --> 15x+9=18x-->3x=9-->x=3
8.If line m is parallel to line n, then the corresponding angles are congruent. So, 20x+1=22x-13 Solve for x. 20x+14=22x-->14=2x-->x=7.
9. The supplementary angle of 110 is 70. Note that all of the inner angles of a triangle are equal to 180. Form an equation using the the values: (4x+8)+(2x+12)+70=180. Simplify; 6x+90=180. Solve for x: 6x+90=180-->6x=90-->x=15.
Hope this helps!
Answer:
120 people/sq. mile
Step-by-step explanation:
Population Density is the concept of how "crowdy" a place is. The more the population density, the more crowded that place is.
The population density is found by dividing the "number of people" by the "land area" (in sq mile or sq km).
Here, it is given there are 600 million people, so
Number of People = 600,000,000
And, the land area is given as 5 million square miles, so
Land Area = 5,000,000 sq. miles
Hence,
Population Density = 600,000,000/5,000,000 = 120 people/sq. mile
Step-by-step explanation:
3(-8m-1) + 5(m+8) (remove the parentheses)
-24m - 3 + 5m + 40 (collect like terms and calculate)
-19m + 37
This question is incomplete
Complete Question
Consider greenhouse A with floor dimensions w = 16 feet , l = 18 feet.
A concrete slab 4 inches deep will be poured for the floor of greenhouse A. How many cubic feet of concrete are needed for the floor?
Answer:
96 cubic feet
Step-by-step explanation:
The volume of the floor of the green house = Length × Width × Height
We convert the dimensions in feet to inches
1 foot = 12 inches
For width
1 foot = 12 inches
16 feet = x
Cross Multiply
x = 16 × 12 inches
x = 192 inches
For length
1 foot = 12 inches
18 feet = x
Cross Multiply
x = 18 × 12 inches
x = 216 inches
The height or depth = 4 inches deep
Hence,
Volume = 192 inches × 216 inches × 4 inches
= 165888 cubic inches
From cubic inches to cubic feet
1 cubic inches = 0.000578704 cubic foot
165888 cubic inches = x
Cross Multiply
x = 16588 × 0.000578704 cubic foot
x = 96 cubic feet
Therefore, 96 cubic feet of concrete is needed for the floor
Answer:
the answer is 8
Step-by-step explanation: