What is 4 times the sum of x y? a. 4 (x y) b. (x y)/4 c. 4 - (x

Which shapes can be drawn with two opposite angles equal to 105°

sertanlavr [38]

Answer:

see the explanation

Step-by-step explanation:

we know that

A shape with two opposite angles equal to 105° could be a quadrilateral, a parallelogram, a rhombus or a trapezoid

Because

A quadrilateral: A quadrilateral is a four-sided polygon. The sum of the interior angles in any quadrilateral must be equal to 360 degrees

so

If the quadrilateral have two opposite angles equal to 105°, then the sum of the other two interior angles must be equal to

$360^o-2(105^o)=150^o$

A parallelogram: A Parallelogram is a flat shape with opposite sides parallel and equal in length. Opposite angles are congruent and consecutive angles are supplementary

so

If the parallelogram have two opposite angles equal to 105°, then the measure of each of the other two congruent interior angles must be equal to

$180^o-105^o=75^o$

A rhombus: A Rhombus is a flat shape with 4 equal straight sides. A rhombus looks like a diamond. All sides have equal length. Opposite sides are parallel. Opposite angles are congruent and consecutive angles are supplementary

so

If the Rhombus have two opposite angles equal to 105°, then the measure of each of the other two congruent interior angles must be equal to

$180^o-105^o=75^o$

A trapezoid: A trapezoid is a 4-sided flat shape with straight sides that has a pair of opposite sides parallel

so

If the trapezoid have two opposite angles equal to 105°, then the sum of the other two interior angles must be equal to

$360^o-2(105^o)=150^o$

4 0

3 years ago

You are scheduling a new delivery route and you need to find out how long it will take a driver to complete the route. You start

Sergio039 [100]

The route will take four hours and fifteen minutes. If you start at 9:50 and count four hours, you'll get to 1:50, add ten to get to 2:00, then add 5 minutes to get to 2:05. Four hours plus ten minutes plus five minutes, 4:15.

4 0

3 years ago

Read 2 more answers

Sally is planning a trip for 225 students

Gala2k [10]

Answer: 75 students.

Step-by-step explanation:

In the data set we have a total of 10 + 8 + 7 + 5 = 30 students.

of those, 10 want to go to the park, the percentage is:

(10/30)*100% = 33.3%

Then, out of the 225, we can expect that a 33.3% (or 0.333 in decimal form) want to go to the park, this is:

N = 225*0.333% = 74.925

We can roud it up, and get N = 75

So Sally can expect that 75 students want to go to the park

4 0

3 years ago

A city has a population of 38802500 people. Estimate this population to the nearest ten million

Ierofanga [76]

Answer:

40,000,000 or 40 million

Step-by-step explanation:

4 0

3 years ago

PLEASE HELP AND SHOW WORK!!

Nastasia [14]

Answer:

Pipe 1 alone fills a tank in 10 min

Pipe 2 alone fills the tank in 20 min

If both are turned on together, how long will it take to fill the tank???

Pipe 1 fills at the RATE of 1/10th tank per min

Pipe 2 fills at the RATE of 1/20th tank per min

Pipe 1 + Pipe 2 fills at the rate of 1/10+1/20 or 3/20th tank per min

Let x= time to fill the tank

(3/20)(x)=1 Where 1 denotes a full tank (Multiply both sides by 20)

3x=20

x=6 2/3 min----------both working together

NOW YOUR PROBLEM

Let x= amount of time for smaller pipe to fill the tank

Then (x-5)=amount of time for larger pipe to fill the tank

NOW HERE'S WHERE THE RECIPROCAL COMES IN:

The smaller pipe fills the tank at the RATE of 1/x cu units per min

The larger tank fills the tank at the RATE of 1/(x-5) cu units per min

Together, they fill the tank at the rate of 1/x+(1/(x-5)) cu units per min

But now we are told that together the fill the tank in 11 1/9 minutes. so our equation to solve is:

(1/x+(1/(x-5))(11 1/9)=1 where 1 denotes a full tank. In fact, in each of the above reciprocals, the 1 denotes a full tank.

So, dividing both sides by 11 1/9, we get:

1/x+(1/(x-5)=1/(11 1/9)-------------- which is your equation

I assume that you have no problems solviing this eq.

Hope this helps----ptaylor

Step-by-step explanation:

7 0

2 years ago

What is 4 times the sum of x y? a. 4 (x y) b. (x y)/4 c. 4 - (x - y) d. 4(x y)