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vova2212 [387]
3 years ago
14

Figure this out please Asap.

Mathematics
1 answer:
weeeeeb [17]3 years ago
6 0

If the polygons are similar then the sides are in proportion.

\dfrac{32}{24}=\dfrac{32:8}{24:8}=\dfrac{4}{3}

Therefore we have the equations:

\dfrac{x-1}{6}=\dfrac{4}{3}\qquad\text{cross multiply}\\\\3(x-1)=(4)(6)\\\\3x-3=24\qquad\text{add 3 to both sides}\\\\3x=27\qquad\text{divide both sides by 3}\\\\\boxed{x=9}


\dfrac{y+1}{21}=\dfrac{4}{3}\qquad\text{cross multiply}\\\\3(y+1)=(21)(4)\\\\3y+3=84\qquad\text{subtract 3 from both sides}\\\\3y=81\qquad\text{divide both sides by 3}\\\\\boxed{y=27}

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weqwewe [10]
Using the formula V = bh

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3 years ago
What is the LCM of 4 and 18
Verizon [17]

Answer:

36

Explanation:

Multiples of 4 are:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64,...

Multiples of 18 are:

18, 36, 54, 72, 90, 108, 126, 144,...

The least common multiple of 4 and 18 is 36.

4 0
1 year ago
What is the exam score for an exam whose z-score is 1.25?
mojhsa [17]

Answer:

85

Step-by-step explanation:

A z-score of 1.25 means that the actual exam score is 1.25 standard deviations above the mean, and therefore the exam score we are looking for is: mean + 1.25 * SD = 75 + 1.25 * 8 = 85

4 0
3 years ago
Whats the first operation needed to solve x/3-3=11
velikii [3]

Hello!

To solve algebraic equation, we will need to use the acronym SADMEP.

SADMEP is similar to PEMDAS, but it is strictly used for solving algebraic equations. Expanded, it is subtract, addition, division, multiplication, exponents, and then parentheses.

Looking at SADMEP, we see that subtract/addition comes first, then division/multiplication, and then exponents/parentheses.

In our equation, our goal is to isolate the variable, "x". Since we have two constants, -3 and 11, and -3 is on the side with the variable, we can add -3 to both sides of the equation first.

Therefore, the first operation needed to solve the equation is addition.

7 0
3 years ago
Write an equation for a line parallel to y=-2x-1 that passes through (2,-7)
vovikov84 [41]

Answer:

The equation is;

y = -2x - 3

Step-by-step explanation:

If two lines are parallel, then they have an equal value of slope

Mathematically we can generally have the equation of a line written as;

y = mx + c

where m

is slope and c is the y-intercept

In the case of the equation given, the slope of the line is -2

So technically, we want to get the equation of a line that has a slope of -2 and it passes through (2,-7)

The point-slope form can be written as;

y-y1 = m(x-x1)

So the equation we want to get is;

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y = -2x + 4 - 7

y = -2x - 3

5 0
2 years ago
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