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3 years ago

Find the length of UC

Mathematics

1 answer:

galben [10]3 years ago

6 0

Answer:

Step-by-step explanation:

One way to solve this would be to just solve for random lengths, left to right, until we come to find UC.

We know JK = JH + HM + MK = 82 and JH = 22, so

82 = 22 + HM + MK

subtract 22 from both sides to isolate the unknowns

60 = HM + MK = HK

96 = HK + KU - HU

We know HK = 60

96 = 60 + KU

subtract 60 from both sides to isolate the unknown

We know KU = 36

105 = KN = KU + UC + CN

We know KU = 36 and CN = 51

105 = 36 + 51 + UC

105 = 87 + UC

subtract 87 from both sides to isolate the unknown

18 = UC

UC is what we're looking for, so the problem is solved

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Answer:

6 the piju dunno fine I've into

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4 years ago

The average height of middle school students at Seton Grove School is found to be 5.25 feet. Which sample makes this generalizat

Ede4ka [16]

Answer:

every other student who enters the school

Step-by-step explanation:

It is given that the middle school students have an average height of 5.25 feet. The students belongs to Seton Grove School.

It means that every student who comes to this school or enters the school has a height that is around 5 feet or more.

Thus we can say that every other student who enters the school has a average height of 5.25 feet.

This sample makes the generalization about the heights of the school students valid.

6 0

3 years ago

Please help.. PREALGEBRA

Margarita [4]

The distance between two points is the absolute value of the coordinates:

$d=(R,S) = |R-S|$

We know that $R=-8$ and that the distance is 11, so we have

$|-8-S| = 11$

An absolute value equals 11 if its content equals 11 or -11:

$-8-S = 11 \iff -S = 19 \iff S = -19$

$-8-S = -11 \iff -S = -3 \iff S = 3$

6 0

3 years ago

One number is 44 times a first number. a third number is 100 more than the first number. if the sum of the three numbers is 5385

svlad2 [7]

I take it that the actual total is 538. If it really is 538538 leave me a note.

Let the first number = x

Let the second # = 44x

Let the third # = 100x

Equation

x + 44x + 100x = 538 Add the left side. All terms are part of the total.

145x = 538 Div By 145

x = 538/145

x = 3.71

Check

First number = 3.71

Second # = 44*3.71 = 163.24

Third number = 100*3.71 = 371

Total these 3 numbers 537.95 The very tiny difference is due to rounding.

5 0

3 years ago

Please do elimination method 2x-9y=-36 <br> -14x+18y=-18

Varvara68 [4.7K]

Answer:

The solution to the system of equations will be:

$x=9,\:y=6$

Step-by-step explanation:

Given the system of equations

$\begin{bmatrix}2x-9y=-36\\ -14x+18y=-18\end{bmatrix}$

Multiply 2x-9y=-36 by 7

$14x-63y=-252$

so the system of equations becomes

$\begin{bmatrix}14x-63y=-252\\ -14x+18y=-18\end{bmatrix}$

Adding both equations

$-14x+18y=-18$

$+$

$\underline{14x-63y=-252}$

$-45y=-270$

solve -45y = -270 for y

$-45y=-270$

divide both sides by -45

$\frac{-45y}{-45}=\frac{-270}{-45}$

Simplify

$y=6$

For 14x-63y = -270 plug in y = 6

$14x-63\cdot \:6=-252$

$14x-378=-252$

Add 378 to both sides

$14x-378+378=-252+378$

Simplify

$14x=126$

Divide both sides by 14

$\frac{14x}{14}=\frac{126}{14}$

Simplify

$x=9$

Therefore, the solution to the system of equations will be:

$x=9,\:y=6$

7 0

3 years ago