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2 years ago

Four times an angle is equal to half of its supplement. Find the measures of both angles.

Mathematics

1 answer:

denis-greek [22]2 years ago

4 0

Answer:

The bigger angle is 144 degrees and the smaller one is 36 degrees

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a car left town A at 10:00 am and travelled towards town B at the average speed of 70 km/h. At the same time a truck left town B

Softa [21]

The important formula to this problem is $distance=rate(time)$ or $d=rt$

Now, the speed of the car is 70 km/h, and the speed of the truck is 50 km/h. It will take the two vehicles the same amount of time to meet since they both left at the same time. So, since distance equals rate times time, and t = time:

the distance of the car = 70t
the distance of the truck = 50t

Because they both left in opposite directions, and the towns are 420 kilometers apart, the equation for this would be

$70t+50t=420$

We now solve the equation.

$70t+50t=420 \\ 120t=420 \\ \frac{120t}{120}= \frac{420}{120} \\ t=3 \frac{1}{2}$

It will take the vehicles 3 and a half hours to meet. Since we're looking for the time, 3 and a half hours from 10:00 AM is 1:30 PM.

So, the car and the truck will pass each other at 1:30 PM.

8 0

2 years ago

Graph the system of equations. { 8x+8y=64 2x−2y=−4

siniylev [52]

What you do is you rearrange and simplify both equations to have them in terms of y, and then graph them. If it asked for a solution, their point of intersection would be the solution.

8 0

2 years ago

Read 2 more answers

An = a1 + (n − 1)d Find the 31st term of the sequence -22, -19, -16, -13,...

JulsSmile [24]

Answer:

68.

Step-by-step explanation:

The common difference d = -19 - (-22) = 3

So the 31st term =

a31 = -22 + (31-1)3

= -22 + 90

= 90 - 22

= 68.

4 0

2 years ago

A rectangular prism is shown below. What is the surface area, in square centimeters?

Orlov [11]

Answer:

174 square centimetres

Step-by-step explanation:

The formula for finding the surface area of a rectangular prism is

SA = 2LW + 2LH + 2HW

Therefore surface area will be

= 2(11*5) + 2(11*2) +2(2*5)

= 2 * 55 + 2 * 22 + 2 * 10

= (110 + 44 + 20) square cm

Which gives you 174 square centimetres.

3 0

2 years ago

The number of a two dollar bill i need to pay for a purchase is 9 more than the number of 5 dollar bills i need to pay for the s

melisa1 [442]

Answer:

$60

Step-by-step explanation:

Let's say we need t $2 bills and v $5 bills.

We need 9 more $2 bills than $5 bills, so:

t = 9 + v

We also know that the amount of money in t $2 bills is 2 * t = 2t. The amount of money in v + 9 $5 bills is 5 * (v + 9) = 5v + 45. These amounts are equal:

5v + 45 = 2t

Plug v + 9 in for t in 5v = 2t + 18:

5v = 2t + 18

5v = 2 * (9 + v) + 18

5v = 18 + 2v + 18

3v = 36

v = 12

We have 12 $5 bills, so that total cost is 12 * 5 = $60.

~ an aesthetics lover

5 0

2 years ago