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3 years ago

11

Arun's family took a road trip to Niagara Falls. Arun fell asleep 69% of the way through the trip. If Arun fell asleep after the

y had travelled 690 miles, what was the total length of the trip?

1 answer:

Lesechka [4]3 years ago

7 0

1,000 miles is the total length of the trip

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Alex_Xolod [135]

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What weights more 2 pounds of rocks or 40 ounces of feathers explan

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A construction company wants to build an auditorium on a trapezium shaped plot measuring 410m2. One of the parallel sides of the

Assoli18 [71]

Answer:

other parallel side is 23m

Step-by-step explanation:

Let's assume other parallel sides as 'x'

One of the parallel sides of the trapezium plot measure 18m

so, y=18

distance between the two parallel sides measure 20m

so, h=20

now, we can use area of trapezium formula

$A=\frac{1}{2}\times h \times (x+y)$

now, we can plug values

$A=\frac{1}{2}\times 20 \times (x+18)$

we can set A=410

and then we can solve for x

$410=\frac{1}{2}\times 20 \times (x+18)$

$10\left(x+18\right)=410$

$x+18=41$

$x=23$

6 0

4 years ago

In the diagram below, DE and EF are tangent to O. Which equation could be solved to find X, the measure of DF.

Brut [27]

Answer:

The answer to your question is letter D

Step-by-step explanation:

Formula

m∠E = $\frac{1}{2} ( DGF - DF)$

Data

m∠E = 48°

DGF = 228°

DF = x°

Substitution

48° = $\frac{1}{2} ( 228° - x°)$

Solution

2(48) = 228 - x°

96 = 228 - x°

96 - 228 = - x°

- 132 = - x°

x° = 132°

7 0

3 years ago

Which values for A and B will create infinitely many solutions for this system of equations? ax-y=8 2x+y=b

Nata [24]

Answer:

a = -2 , b = -8

Step-by-step explanation:

* Lets talk about the solution of the linear equations

- There are three types of the solutions of the system of linear equations

# If the two lines intersect each other, then there is one solution

- The equations are ax+ by = c , dx + ey = f

# If the two lines parallel to each other, then there is no solution

- The equations are ax+ by = c , ax + by = d in its simplest form ,

where a is the coefficient of x , b is the coefficient of y and

c , d are the numerical terms

# If the two lines coincide (over each other), then there are infinite

solutions

- The equations are ax+ by = c , ax + by = c in its simplest form, where

a is the coefficient of x , b is the coefficient of y and c is the

numerical term

* Lets solve the problem

∵ The system of equation is:

ax - y = 8 ⇒ (1)

2x + y = b ⇒ (2)

∵ The system create infinitely many solutions

∴ The lines are coincide

- The equations must be equal, then multiply equation(1) or (2) by -1 to

make the coefficient of y in the two equations equal

∴ -ax + y = -8

∴ 2x + y = b

∵ Their coefficients of x are equal

∵ Their coefficients of y are equal

∵ Their numerical terms are equal

∵ The coefficient of x in equation (1) is -a and in equation (2) is 2

∴ -a = 2 ⇒ multiply both sides by -1

∴ a = 2

∵ The numerical term in equation (1) is -8 and in equation (2) is b

∴ b = -8

* The values for a and b will create infinitely many solutions are -2 , -8

5 0

4 years ago