Answer:
Step-by-step explanation:
You need to pay very close attention to the triangle similarity statement. This says that triangle NML is similar to triangle NVU. But if you look at the way that triangle NVU is oriented in its appearance, it's laying on its side. We need to set it upright so that angle N is the vertex angle, angle V is the base angle on the left, and angle U is the base angle on the right. When we do that we see that sides NV and NM are corresponding and exist in a ratio to one another; likewise with sides VU and ML. Setting up the proportion:
Filling in:
Cross multiply to get
324 = 108x
and x = 3
Answer:
x = 2.25 y = 0.75
Step-by-step explanation:
2x = 9.5- 5
2x = 4.5
x = 4.5 ÷ 2
x = 2.25
know we now what is x so in the second one we evaluate x
3(2.25) + 5y = 10.5
6.75 + 5y = 10.5
5y = 10.5- 6.75
5y = 3.75
y = 3.75 ÷ 5
y = 0.75
that's it !
if you want to check your answer you can evaluate x and y so it will be like
2×2.25 + 5
= 4.5 + 5 = 9.5
and
3× 2.25 +5×0.75
= 6.75 + 3.75 = 10.5
Answer:
C
Step-by-Step explanation:
The first thing we must do for this case is to calculate the area of both yards.
We have then:
front yard:
A1 = (50) * (80)
A1 = 4000 feet ^ 2
Back yard:
A2 = (10) * (30)
A2 = 300 feet ^ 2
"Jayden wants to lay sod on his front yard and on half of his back yard"
Then, the total amount will be:
A = A1 + (1/2) A2
Substituting:
A = 4000 + (1/2) (300)
A = 4000 + 150
A = 4150 feet ^ 2
Answer:
jayden needs to purchase 4150 square feet of sodd
Answer:
A = 153.94 sq mi
Step-by-step explanation:
In this scenario, we would be starting from the center point and searching the area of a square since the distance in every direction would the same 7 mi. This 7-mile distance would be our radius in this scenario. We now need to use the formula for the Area of a circle to calculate the search area. This formula is the following
A = 
A = 
A = 
A = 153.94 sq mi
A total of 153.94 square miles must be searched.
