Tell whether the angles are adjacent or vertical. Then find the value of x . 117° xº

Mathematics

1 answer:

Yakvenalex [24]3 years ago

5 0

Answer:

please give the picture

Step-by-step explanation:

I will then solve this

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At the end of a recent WNBA regular season, the Phoenix murmur had 12 more victories than losses. The number of victories they h

Hoochie [10]

Answer:

34 games

Step-by-step explanation:

let the number of losses be $l$

let the number of victories be $v$

the Phoenix murmur had 12 more victories than losses:

$v=l+12$

The number of victories they had was one more than two times the number of losses:

$v=2l+1$

We have 2 expressions for $v$ , equating these 2, we can solve for $l$ :

$l+12=2l+1\\12-1=2l-l\\11=l$

So 11 games, they lost.

Using this value, we can plug into the 1st equation to solve for v:

$v=l+12\\v=11+12\\v=23$

So 23 games, they won.

Given that no draws, they played a total of 23 + 11 = 34 games this season

6 0

3 years ago

The sum of two confescutive integers is at least 46. What is the least possibly pair of integers?

dezoksy [38]

An integer is a whole number. Sum means to add and since they are consecutive, there is only a difference of 1 between them.

1) 21 + 23: not consecutive
2) 23+24= 47: has to be at least 46
3) 22+23= 45: has to be at least 46
4) 24+25= 49: has to be at least 46

So we have two possibilities: either #2 or #4. Find least possible pair of integers.

x= first integer
x+1= second integer

x + (x+1) >= 46
2x + 1 >=46
2x>=45
x>=22.5

Answer:
The first integer has to be greater than or equal to 22.5. Since integers are whole numbers, round up to the next whole number. The least possible integers are #2) 23 and 24.

Hope this helps! :)

3 0

3 years ago

A building casts a shadow that is 50 feet in length. If the distance from the end of the shadow to the top of the building is 25

lozanna [386]

Answer:

The height of the building is of 244.95 feet.

Step-by-step explanation:

We use the Pythagorean Theorem to solve this question.

We have that:

The shadow of 50 feet is one side of the right triangle, while the height h is other side.

The hypotenuse is the distance from the end of the shadow to the top of the building, which is 250 feet.

$50^2 + h^2 = 250^2$