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andrey2020 [161]
3 years ago
14

Find the missing measurement of AC

Mathematics
1 answer:
IgorLugansk [536]3 years ago
8 0

Answer:

AC = 78

Step-by-step explanation:

Since all the angles are equal (60°), this is an equiangular triangle (meaning all angles re equal). Equiangular triangles are also equilateral meaning that all sides are equal)

We are given then one side is 11x-32 and another side is 5x+28

These two sides must be equal so we can set them equal to each other and solve for x

11x - 32 = 5x + 28

6x - 32 = 28

6x = 60

x = 10

If x = 10, then we can substitute x into either of the two equations to find the length of all three sides (since all sides have equal length)

11(10)-32 = 110 - 32 = 78

AB = BC = AC = 78

AC = 78

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The delivery person weighs 150lb and each box of books weigh 40lb the maximum capacity of the elevator is 1020lb how many box of
padilas [110]

Answer:

21 box of books can be brought up by the delivery person at one time

Step-by-step explanation:

Here, we want to know the number of box of books that the delivery person could bring up at one time.

Let the number of boxes be x , so the total mass of the boxes that could come up at a time will be x * 40 = 40x lb

Let’s add this to the mass of the delivery person = 150 lb

So the total mass going inside the lift would be 150 + 40x

So we have to equate this to the maximum capacity of the lift;

150 + 40x = 1020

40x = 1020 - 150

40x = 870

x = 870/40

x = 21.75

Now since we cannot have fractional boxes, the number of boxes that could come into the lift without exceeding the maximum capacity of the lift is 21

5 0
3 years ago
There is a triangle with the height of 2 and a base of (x 1) what is the area
Marysya12 [62]
I hope this helps you



Area=height.base/2



Area =2. (x+1)/2


Area =x+1
5 0
3 years ago
Find the lengths of the sides of the triangle if the vertices of EFG are E(-2,-3), F(-2,2) and G(3,2). Find the lengths of FG
krek1111 [17]

Answer:

FG=5

Step-by-step explanation:

Use distance formula FG=√(3+2)² +(2-2)²=√25=5

3 0
3 years ago
Combine like terms<br><br><br> -2/3p + 1/5 - 1 + 5/6p
Bezzdna [24]
1/6p - 4/5

Explanation: -2/3p needs to have the same denominator as 5/6p so they can combine. (Note, whatever sign is in front of a number determines if it is negative or positive. Your equation indicates that the bolded parts are negative and the other parts are positive: -2/3p + 1/5 - 1 + 5/6p. So what we are really doing in an equation like this is combining some numbers together)
-2/3p and 5/6p and the least common multiple of six, so we adjust the numbers to each have a denominator of 6. 5/6p is already there, so we need to adjust -2/3p.
We can multiply both the numerator and denominator by 2 to turn -2/3p into -4/6p. -4/6p has the same value as -2/3p, and now it also has the same denominator as 5/6p!
We then have to combine like terms, therefore combining -4/6p with 5/6p. When adding together fractions, the denominator does not change (this is why both numbers must have the same denominators). So our answer will be _/6p. So we combine -4 with 5, giving us one.
Therefore, -2/3p combined with 5/6p is 1/6p.
Now we have to combine our other set of like terms, 1/5 and -1. We can do this the same way that we combined the other numbers.
1/5 and -1 need the same denominator. This is simple because 1 can easily be figured out with any denominator, as long as the numerator and denominator are the same. This would make 1 = 5/5. But we need it negative, so it would be -5/5.
Now that we have common denominators, we can combine!
1/5 - 5/5
Remember what we said before, the solution will have the same denominator, so all we need to do is (in this case) subtract the numerators.
1 - 5 = 4
So that would be -4/5.
With the like terms combined, we just need to put our two combinations (1/6p and -4/5) together!

Our answer: 1/6p - 4/5

I hope that helps!
5 0
3 years ago
URGENTT!!!! help quick please
omeli [17]
The answer is going to be
X=20
7 0
2 years ago
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