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igor_vitrenko [27]
3 years ago
12

The total height of a building and the flagpole on the roof is 196 feet. The building is 6 times as tall as the

Mathematics
1 answer:
goldenfox [79]3 years ago
3 0

Answer:

The flag pole is 28 feet

building is 168 feet

Step-by-step explanation:

building+flagpole= 196 feet

(use algebra)

let the flagpole be a

building will be 6a

<h2>so 6a+a= 196</h2>

7a= 196 = 28

it means the flag pole is 28feet

28×6 is the building= 168 feet

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Jalyn collected 24 stones. She put them in 4 equal piles. How many stones are in each pile?
ZanzabumX [31]

Answer:

6

Step-by-step explanation:

This is basically 24 divided by 4 since he/she is dividing 24 into 4 equal groups.

24/4=6

3 0
3 years ago
Read 2 more answers
2. State whether the change is increasing or decreasing. Round your percent of change to the nearest integer percent. originally
marysya [2.9K]

Answer:

The change is increasing with a percentage of change of 64%

Step-by-step explanation:

Since we have the present grater than the original, then the change is increasing

Secondly, we want to calculate the percent of change

Mathematically , that will be ;

(present - original)/original * 100%

= (90-55)/55 * 100%

= 35/55 * 100% = 63.63 which is approximately 64%

7 0
3 years ago
A group of people were asked if they had run a red light in the last year. 315 responded "yes", and 190 responded "no".
Iteru [2.4K]

Answer:

0.624

Step-by-step explanation:

Number who have run a red light = 315

Number who haven't run a red light = 190

From the data :

The total number of people sampled = total possible outcome = (315 + 190) = 505

Selecting a person at random, probability that the selected person has run a red light :

P = required outcome / Total possible outcomes

Required outcome = Number who have run a red light = 315

P(having run a red light) = 315 / 505 = 0.624

6 0
3 years ago
What kind of triangle is this!!! Please Help!!!
Arisa [49]

Answer:

Right Isosceles

Step-by-step explanation:

First, let's see if this triangle is Acute, Obtuse or Right.

We see that PB and QB are perpendicular lines, meaning that they form a right angle.  Therefore, triangle PQB is a right triangle.

Next, let's see if this triangle is equilateral, isosceles or scalene. PB and QB are congruent side lengths but PQ is not congruent to either PB or QB. Therefore, because two of the side lengths are congruent to each other and one is not, then triangle PQB is a isosceles triangle.

In conclusion, triangle PQB can be categorized as a right isosceles triangle.

Hope this helps!

3 0
3 years ago
How can I solve this problem
jolli1 [7]

Answer:

x = 27

Step-by-step explanation:

I'm going to use letters to label the parts of the triangle while explaining how to solve for x:

Angle A = x (bottom left angle of the triangle)

Angle B = 4x (top angle of the triangle)

Angle C = empty angle (bottom right angle of the triangle)

Angle D = 3x + 54 (angle outside of the triangle)

A line has a angle measurement of 180 degrees.

Angle C & D make up the line, meaning Angle C + Angle D = 180 degrees.

To find Angle C, we would subtract Angle D's equation from 180 like this:

180 - (3x + 54)

Now Angle C equals 180 - (3x + 54)

Now we have all the angles inside the triangle. To find x, we are going to sum up  Angle A, B, & C and set it equal to 180.

We set the equation to 180 because a the sum of the interior angles for a triangle is 180.

The equation looks like this:

(180 - (3x + 54)) + 4x + x = 180

Now we use basic algebra to solve it:

(180 - (3x + 54)) + 4x + x = 180

(distribute the - to (3x + 54))

180 - 3x - 54 + 4x + x = 180

(add like terms on the left side of the equation)

126 + 2x = 180

(subtract 126 from both sides)

2x = 54

(divide both sides by 2)

x = 27

To prove this answer is correct, plug it back in the original equation and you'll see that it ends up equaling 180, which is the sum of interior angles for triangle.

Hope it helps (●'◡'●)

6 0
2 years ago
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